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{{Other uses|Horse power (disambiguation)}}
{{short description|Unit of power with different values}}
{{Use dmy dates|date=December 2024}}
{{Redirect|hp|the technology corporation|Hewlett-Packard|other uses|HP (disambiguation)}}
{{Other uses}}
[[File:6 horse team East Lampeter TWP LanCo PA 1.jpg|thumb|upright=1.3|A team of six horses mowing hay in [[Lancaster County, Pennsylvania]]]]
{{Infobox unit
'''Horsepower''' ('''hp''') is a [[unit of measurement]] of [[power (physics)|power]] (the rate at which [[work (physics)|work]] is done). There are many different standards and types of horsepower. Two common definitions being used today are the '''mechanical horsepower''' (or '''imperial horsepower'''), which is 745.7 [[watt]]s, and the '''metric horsepower''', which is approximately 735.5 watts.
| bgcolor =
| name = Horsepower
| image = Imperial Horsepower.svg
| caption = One ''imperial horsepower'' lifts {{convert|550|lb|lk=in}} by {{convert|1|foot|cm|lk=in}} in 1 [[second]].
| standard =
| quantity = [[Power (physics)|power]]
| symbol = hp
| symbol2 =
| namedafter =
| extralabel =
| extradata =
| units1 =
| inunits1 = <!--...-->
| units6 =
| inunits6 =
| units_imp1 =
| inunits_imp1 = <!--...-->
| units_imp6 =
| inunits_imp6 =
| units_us1 =
| inunits_us1 = <!--...-->
| units_us6 =
| inunits_us6 =
}}


'''Horsepower''' ('''hp''') is a [[unit of measurement]] of [[Power (physics)|power]], or the rate at which [[Work (physics)|work]] is done, usually in reference to the output of engines or motors. There are many different standards and types of horsepower. Two common definitions used today are the '''imperial horsepower''' as in "hp" or "bhp" which is about 745.7 [[watt]]s, and the '''metric horsepower''' as in "cv" or "PS" which is approximately 735.5 watts.
The term was adopted in the late 18th century by [[Scottish people|Scottish]] engineer [[James Watt]] to compare the output of [[steam engine]]s with the power of [[draft horse]]s. It was later expanded to include the output power of other types of [[piston engines]], as well as [[turbine]]s, [[electric motor]]s and other machinery.<ref>[http://www.britannica.com/EBchecked/topic/272384/horsepower "Horsepower"], ''Encyclopædia Britannica Online''. Retrieved 2012-06-24.</ref><ref>[http://www.britannica.com/EBchecked/topic/291305/International-System-of-Units-SI "International System of Units" (SI)], ''Encyclopædia Britannica Online''. Retrieved 2012-06-24.</ref> The definition of the unit varied among geographical regions. Most countries now use the [[International System of Units|SI]] unit ''[[watt]]'' for measurement of power. With the implementation of the EU Directive [[Units of Measure Directive#Directive 80/181/EEC|80/181/EEC]] on January 1, 2010, the use of horsepower in the EU is permitted only as a supplementary unit.<ref>[http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=OJ:L:2009:114:0010:0013:EN:PDF "Directive 2009/3/EC of the European Parliament and of the Council of 11 March 2009"], ''Official Journal of the European Union''. Retrieved 2013-02-15.</ref>


The term was adopted in the late 18th century by [[Scottish people|Scottish]] engineer [[James Watt]] to compare the output of [[steam engine]]s with the power of [[draft horse]]s. It was later expanded to include the output power of other power-generating machinery such as [[piston engines]], [[turbine]]s, and [[electric motor]]s.<ref>{{cite encyclopedia |title=Horsepower |encyclopedia=Encyclopædia Britannica Online |url=https://www.britannica.com/EBchecked/topic/272384/horsepower |access-date=2012-06-24}}</ref><ref>{{cite encyclopedia |title=International System of Units (SI) |encyclopedia=Encyclopædia Britannica Online |url=https://www.britannica.com/EBchecked/topic/291305/International-System-of-Units-SI |access-date=2012-06-24}}</ref> The definition of the unit varied among geographical regions. Most countries now use the [[International System of Units|SI]] unit [[watt]] for measurement of power. With the implementation of the EU Directive [[Units of Measure Directive#Directive 80/181/EEC|80/181/EEC]] on 1 January 2010,<ref>{{Cite journal |url=http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=OJ:L:2009:114:0010:0013:EN:PDF |title=Directive 2009/3/EC of the European Parliament and of the Council of 11 March 2009 |journal=Official Journal of the European Union |date=7 May 2009}}</ref> the use of horsepower in the EU is permitted only as a supplementary unit.

(this is how many os’s it takes to pull ya car bab)


==History==
==History==
[[File:6 horse team East Lampeter TWP LanCo PA 1.jpg|thumb|A team of six horses mowing hay in [[East Lampeter Township, Pennsylvania]], U.S.]]
[[File:Horsepower plain.svg|thumb|One ''metric horsepower'' is needed to lift 75&nbsp;[[kilogram]]s by 1&nbsp;[[meter]] in 1&nbsp;[[second]]]]


The development of the [[steam engine]] provided a reason to compare the output of horses with that of the engines that could replace them. In 1702, [[Thomas Savery]] wrote in ''The Miner's Friend'':
The development of the [[steam engine]] provided a reason to compare the output of horses with that of the engines that could replace them. In 1702, [[Thomas Savery]] wrote in ''The Miner's Friend'':<ref>{{Cite web |url=http://www.history.rochester.edu/steam/savery/ |publisher=University of Rochester History Department |archive-url=https://web.archive.org/web/20090511121051/http://www.history.rochester.edu/steam/savery |archive-date=May 11, 2009 |title=The Miner's Friend |access-date=July 21, 2011 }}</ref>


<blockquote>So that an engine which will raise as much water as two horses, working together at one time in such a work, can do, and for which there must be constantly kept ten or twelve horses for doing the same. Then I say, such an engine may be made large enough to do the work required in employing eight, ten, fifteen, or twenty horses to be constantly maintained and kept for doing such a work…<ref>{{Cite web
:So that an engine which will raise as much water as two horses, working together at one time in such a work, can do, and for which there must be constantly kept ten or twelve horses for doing the same. Then I say, such an engine may be made large enough to do the work required in employing eight, ten, fifteen, or twenty horses to be constantly maintained and kept for doing such a work...
|url=http://www.history.rochester.edu/steam/savery/
|website=Rochester history department website:
|archiveurl=https://web.archive.org/web/20090511121051/http://www.history.rochester.edu/steam/savery
|archivedate=May 11, 2009
|title=The miner's friend
|accessdate=July 21, 2011
|deadurl=yes
|df=
}}</ref></blockquote>


The idea was later used by [[James Watt (inventor)|James Watt]] to help market his improved steam engine. He had previously agreed to take royalties of one third of the savings in coal from the older [[Newcomen steam engine]]s.<ref>{{Cite web |url= http://www.pballew.net/arithm17.html#hp |title=Math Words — horsepower |publisher= pballew.net |accessdate=2007-08-11 |postscript= }}</ref> This royalty scheme did not work with customers who did not have existing steam engines but used horses instead.
The idea was later used by [[James Watt]] to help market his improved steam engine. He had previously agreed to take royalties of one-third of the savings in coal from the older [[Newcomen steam engine]]s.<ref>{{Cite web |url= http://www.pballew.net/arithm17.html#hp |title= Math Words — horsepower |publisher= pballew.net |access-date= 2007-08-11 |archive-date= 2018-09-20 |archive-url= https://web.archive.org/web/20180920001001/http://www.pballew.net/arithm17.html#hp |url-status= usurped }}</ref> This royalty scheme did not work with customers who did not have existing steam engines but used horses instead.


Watt determined that a horse could turn a [[Horse mill|mill wheel]] 144 times in an hour (or 2.4 times a minute).<ref name=Engineers121>Hart-Davis, Adam, ''Engineers'', pub Dorling Kindersley, 2012, p121.</ref> The wheel was {{convert|12|ft}} in radius; therefore, the horse travelled 2.4 × 2π × 12 feet in one minute. Watt judged that the horse could pull with a [[force]] of {{convert|180|lbf}}. So:
Watt determined that a horse could turn a [[Horse mill|mill wheel]] 144 times in an hour (or 2.4 times a minute).<ref name=Engineers121>Hart-Davis, Adam (2012). ''Engineers''. Dorling Kindersley. p. 121.</ref> The wheel was {{convert|12|ft}} in radius; therefore, the horse travelled {{nowrap|2.4 × 2π × 12}} feet in one minute. Watt judged that the horse could pull with a [[force]] of {{convert|180|lbf}}.<ref>{{cite book |title=James Watt: Craftsman and Engineer |first=H. W. |last=Dickenson |publisher=Cambridge University Press |year=2010 |isbn=9781108012232 |page=145 |quote=... based his calculations on data supplied to him to the effect that a mill horse walks, in a path of 24 ft. diameter, {{sfrac|2|1|2}} turns in a minute. Watt assumed that the mill horse exerted a pull of 180 lb.—we do not know where he got this figure—and found that it exerts 32,400 lb. per minute. By the following year he has rounded off the figure to 33,000, doubtless for ease in calculation.}}</ref> So:


:<math> P = \frac{W}{t} = \frac{Fd}{t} = \frac{180\,\mathrm{lbf}\times 2.4 \times 2\, \pi \times 12\, \mathrm{ft}}{1\,\mathrm{min}} = 32,572 \frac{\mathrm{ft} \cdot \mathrm{lbf}}{\mathrm{min}}.</math>
:<math qid=Q120634922> P = \frac{W}{t} = \frac{Fd}{t} = \frac{180~\text{lbf} \times 2.4 \times 2\,\pi \times 12~\text{ft}}{1~\text{min}} = 32{,}572~\frac{\text{ft} \cdot \text{lbf}}{\text{min}}.</math>


''Engineering in History'' recounts that [[John Smeaton]] initially estimated that a horse could produce {{convert|22,916|ftlb}} per minute.<ref>Kirby, Richard Shelton (August 1, 1990). ''Engineering in History''. Dover Publications. p. 171.</ref> [[John Theophilus Desaguliers|John Desaguliers]] had previously suggested {{convert|44,000|ftlb|0}} per minute, and [[Thomas Tredgold]] suggested {{convert|27,500|ftlb|0}} per minute. "Watt found by experiment in 1782 that a '[[Draft horse|brewery horse]]' could produce {{convert|32,400|ftlb|disp=sqbr|0}} per minute."<ref name="kirby-p171"/> James Watt and [[Matthew Boulton]] standardized that figure at {{convert|33,000|ftlb|0}} per minute the next year.<ref name="kirby-p171">{{Cite book |url=https://books.google.com/books?id=MXNtDQAAQBAJ&pg=PA171 |title=Engineering in History |first=Richard Shelton |last=Kirby |publisher=Dover Publications |page=171 |date=August 1, 1990 |isbn=0-486-26412-2 |access-date=June 13, 2018 }}</ref>
Watt defined and calculated the horsepower as 32,572&nbsp;ft·lbf/min, which was rounded to an even 33,000&nbsp;ft·lbf/min.<ref>{{Cite journal|last=Tully |first=Jim |publisher=American Society of Mechanical Engineers |title=Philadelphia Chapter Newsletter |date=September 2002 |url=http://sections.asme.org/Philadelphia/sept02.htm |accessdate=2007-08-11 |postscript= |deadurl=yes |archiveurl=https://web.archive.org/web/20070813154716/http://sections.asme.org/philadelphia/sept02.htm |archivedate=2007-08-13 |df= }}</ref>


A common legend states that the unit was created when one of Watt's first customers, a brewer, specifically demanded an engine that would match a horse, and chose the strongest horse he had and driving it to the limit. In that legend, Watt accepted the challenge and built a machine that was actually even stronger than the figure achieved by the brewer, and the output of that machine became the horsepower.<ref>{{cite magazine |magazine=[[Popular Mechanics]] |url={{Google books|id=_d0DAAAAMBAJ|page=394|plain-url=yes}} |title=Motorcycle equipped with wireless |date=September 1912 |page=394}}</ref>
Watt determined that a pony could lift an average {{convert|220|lbf|kN|abbr=on}} {{convert|100|ft|m|abbr=on}} per minute over a four-hour working shift.<ref>{{cite book|last1=Coon|first1=Brett A. Handley, David M. Marshall, Craig|title=Principles of engineering|date=2012|publisher=Delmar Cengage Learning|location=Clifton Park, N.Y.|isbn=978-1-435-42836-2|page=202}}</ref> Watt then judged a horse was 50% more powerful than a pony and thus arrived at the 33,000&nbsp;ft·lbf/min figure.<ref>{{cite web|last=Marshall|first=Brian|title=How Horsepower Works|url=http://www.howstuffworks.com/horsepower.htm|accessdate=27 June 2012}}</ref>{{Better source|date=November 2013}} ''Engineering in History'' recounts that [[John Smeaton]] initially estimated that a horse could produce 22,916 foot-pounds (31,070 N·m) per minute.{{citation needed|date=June 2014}} [[John Theophilus Desaguliers|John Desaguliers]] had previously suggested 44,000 foot-pounds (59,656 N·m) per minute and Tredgold 27,500 foot-pounds (37,285 N·m) per minute. "Watt found by experiment in 1782 that a '[[draft horses|brewery horse]]' could produce 32,400 foot-pounds [43,928.5 N·m] per minute." James Watt and Matthew Boulton standardized that figure at 33,000 foot-pounds (44,742 N·m) per minute the next year.<ref>{{Cite journal|url=http://print.google.com/print?id=AVn_Sm56OCoC&pg=171&lpg=171&dq=smeaton&sig=6N_TJXrLqwQI-Fm7mU9ebKS1djA |title=Engineering in History |first=Richard Shelton |last=Kirby |publisher=Dover Publications |page=171 |date=August 1, 1990 |isbn=0-486-26412-2 |accessdate=2007-08-11 |postscript= }}{{dead link|date=April 2017 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>


In 1993, R. D. Stevenson and R. J. Wassersug published correspondence in ''[[Nature (journal)|Nature]]'' summarizing measurements and calculations of peak and sustained work rates of a horse.<ref name="nature">{{Cite journal |last1=Stevenson |first1=R. D. |last2=Wassersug |first2=R. J. |year=1993 |title=Horsepower from a horse |journal=[[Nature (journal)|Nature]] |volume=364 |issue=6434 |page=195 |doi=10.1038/364195a0|pmid=8321316 |bibcode=1993Natur.364..195S |s2cid=23314938 |doi-access=free }}</ref> Citing measurements made at the 1926 [[Iowa State Fair]], they reported that the peak power over a few seconds has been measured to be as high as {{convert|14.88|hp|kW|abbr=on}}<ref>{{cite journal|last1=Collins|first1=E. V.|last2=Caine|first2=A. B.|year=1926|title=Testing Draft Horses|url=https://lib.dr.iastate.edu/bulletin/vol20/iss240/1|url-status=live|journal=Iowa Agricultural Experiment Station Bulletin|volume=240|pages=193–223|archive-url=https://web.archive.org/web/20200607104620/https://lib.dr.iastate.edu/bulletin/vol20/iss240/1/|archive-date=2020-06-07|access-date=2021-09-06}}</ref> and also observed that for sustained activity, a work rate of about {{convert|1|hp|kW|abbr=on}} per horse is consistent with agricultural advice from both the 19th and 20th centuries and also consistent with a work rate of about four times the [[basal rate]] expended by other vertebrates for sustained activity.<ref name="nature" />
A common legend states that the unit was created when one of Watt's first customers, a brewer, specifically demanded an engine that would match a horse, but tried to cheat by taking the strongest horse he had and driving it to the limit. Watt, while aware of the trick, accepted the challenge and built a machine which was actually even stronger than the figure achieved by the brewer, and it was the output of that machine which became the horsepower.<ref>''[[Popular Mechanics]]''. [https://books.google.co.il/books?id=_d0DAAAAMBAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false September 1912, page 394]</ref>


When considering [[Human power|human-powered equipment]], a healthy human can produce about {{convert|1.2|hp|kW|abbr=on}} briefly (see [[orders of magnitude (power)|orders of magnitude]]) and sustain about {{convert|0.1|hp|kW|abbr=on}} indefinitely; trained athletes can manage up to about {{convert|2.5|hp|kW|abbr=on}} briefly<ref>Eugene A. Avallone et al., (ed), ''Marks' Standard Handbook for Mechanical Engineers 11th Edition '', Mc-Graw Hill, New York 2007, {{ISBN|0-07-142867-4}}, page 9-4.</ref>
In 1993, R. D. Stevenson and R. J. Wassersug published correspondence in ''Nature'' summarizing measurements and calculations of peak and sustained work rates of a horse.<ref name="nature">{{Cite journal |last=Stevenson |first=R. D. |last2=Wassersug |first2=R. J. |year=1993 |title=Horsepower from a horse |journal=[[Nature (journal)|Nature]] |volume=364 |issue=6434 |page=195 |doi=10.1038/364195a0|bibcode=1993Natur.364..195S }}</ref> Citing measurements made at the 1926 Iowa State Fair, they reported that the peak power over a few seconds has been measured to be as high as 14.9&nbsp;hp (11.1&nbsp;kW).<ref>{{cite journal |last1=Collins |first1=EV |last2=Caine |first2=AB |journal=Iowa Agricultural Experiment Station Bulletin |volume=240|title=Testing Draft Horses |pages=193–223 |year=1926}}</ref> and also observed that for sustained activity, a work rate of about 1&nbsp;hp (.7457&nbsp;kW) per horse is consistent with agricultural advice from both the 19th and 20th centuries and also consistent with a work rate of about 4 times the [[basal rate]] expended by other vertebrates for sustained activity.<ref name="nature"/>
and {{convert|0.35|hp|kW|abbr=on}} for a period of several hours.<ref>{{cite journal |last1=Ebert |first1=T. R. |title=Power output during a professional men's road-cycling tour |journal=International Journal of Sports Physiology and Performance |volume=1 |issue=4 |date=Dec 2006 |pages=324–325 |pmid=19124890|doi=10.1123/ijspp.1.4.324 |s2cid=13301088 }}</ref> The Jamaican sprinter [[Usain Bolt]] produced a maximum of {{convert|3.5|hp|kW|abbr=on}} 0.89 seconds into his 9.58 second {{convert|100|m|yd|1|adj=on}} sprint world record in 2009.<ref>{{cite web |title=Scientists Model "Extraordinary" Performance of Bolt |url=http://www.iop.org/news/13/jul/page_60709.html |publisher=Institute of Physics |date=26 July 2013 |archive-url=https://web.archive.org/web/20160309194600/http://www.iop.org/news/13/jul/page_60709.html |archive-date=9 March 2016 |access-date=15 December 2023 }}</ref>{{Failed verification|date=December 2023}}


In 2023 a group of engineers modified a [[dynometer]] to be able to measure how much horsepower a horse can produce. This horse was measured to {{convert|5.7|hp|kW|abbr=on}}.<ref>{{Cite AV media |publisher=Donut |title=How Much Horsepower is a Horse? |date=24 November 2023 |url=https://www.youtube.com/watch?v=7qxTKtlvaVE&ab_channel=Donut |access-date=30 November 2023 |via=YouTube }}</ref>
When considering [[human-powered equipment]], a healthy human can produce about 1.2&nbsp;hp briefly (see [[orders of magnitude (power)|orders of magnitude]]) and sustain about 0.1&nbsp;hp (74.57 W) indefinitely; trained athletes can manage up to about 2.5&nbsp;hp (1.85&nbsp;kW) briefly<ref>Eugene A. Avallone et. al, (ed), ''Marks' Standard Handbook for Mechanical Engineers 11th Edition '', Mc-Graw Hill, New York 2007 {{ISBN|0-07-142867-4}} page 9-4</ref>
and 0.35&nbsp;hp (260 W) for a period of several hours.<ref>{{cite journal|last1=Ebert|first1=TR|title=Power output during a professional men's road-cycling tour.|journal=International Journal of Sports Physiology and Performance|date=Dec 2006|pages=324–325|pmid=19124890|url=https://www.ncbi.nlm.nih.gov/pubmed/19124890#}}</ref> The Jamaican sprinter [[Usain Bolt]] produced a maximum of 3.5&nbsp;hp (2.6&nbsp;kW) 0.89 seconds into his 9.58 second 100-meter dash world record in 2009.<ref>{{Cite web|publisher=Institute of Physics |title=Scientists model "extraordinary" performance of Bolt |date = 26 July 2013|url=http://www.iop.org/news/13/jul/page_60709.html |accessdate=9 March 2016|postscript=}}</ref>


==Calculating power==
==Calculating power==
When [[torque]] {{mvar|T}} is in [[pound-foot (torque)|pound-foot]] units, [[rotational speed]] {{mvar|N}} is in [[Revolutions per minute|rpm]], the resulting power in horsepower is


: <math>\{P\}_\mathrm{hp} = \frac{\{T\}_\mathrm{ft {\cdot} lbf} \{N\}_\mathrm{rpm}}{5252}.</math><ref>{{cite book |first1=Terrell |last1=Croft |first2=Wilford |last2=Summers |title=American Electrician's Handbook |edition=Eleventh |publisher=McGraw Hill |year=1987 |isbn=0-07-013932-6 |pages=7–175}}</ref>
When [[torque]] <math>T</math> is in [[pound-foot (torque)|pound-foot]] units, [[rotational speed]] <math>(N)</math> is in [[Revolutions per minute|rpm]] and power is required in horsepower:


The constant 5252 is the [[Rounding|rounded]] value of (33,000&nbsp;ft⋅lbf/min)/(2π&nbsp;rad/rev).
<math> P / \text{hp} = \frac{T / (\text{ft} \cdot \text{lbf}) \times N / \text{rpm}} {5252}</math>


When torque {{mvar|T}} is in inch-pounds,
The constant 5252 is the [[Rounding|rounded]] value of (33,000&nbsp;ft·lbf/min)/(2π&nbsp;rad/rev).


: <math>\{P\}_\mathrm{hp} = \frac{\{T\}_\mathrm{in {\cdot} lbf} \{N\}_\mathrm{rpm}}{63{,}025}.</math>
When torque <math>T</math> is in inch pounds:

<math> P / \text{hp} = \frac{T / (\text{in} \cdot \text{lbf}) \times N / \text{rpm}} {63{,}025}</math>


The constant 63,025 is the approximation of
The constant 63,025 is the approximation of


<math>33{,}000\,\frac{\text{ft} \cdot \text{lbf}}{\text{min}} \cdot \frac{ 12 \, \frac{\text{in}} {\text{ft}}} {2 \pi ~ \text{rad}} \approx 63{,}025</math>.
: <math>33{,}000~\frac{\text{ft} {\cdot} \text{lbf}}{\text{min}} \times \frac{12~\frac{\text{in}}{\text{ft}}}{2\pi~\text{rad}} \approx 63{,}025 \frac{\text{in} {\cdot} \text{lbf}}{\text{min}}.</math>

If torque and rotational speed are expressed in coherent SI units, the power is calculated by ;

<math>P = \tau \cdot \omega</math>

where <math>P</math> is power in watts when <math>\tau</math> is torque in newton-metres, and <math>\omega</math> is angular speed in radians per second. When using other units or if the speed is in revolutions per unit time rather than radians, a conversion factor has to be included.


==Definitions==
==Definitions==


===Imperial horsepower===
The following definitions have been or are widely used:
Assuming the third [[General Conference on Weights and Measures|CGPM]] (1901, CR 70) definition of [[standard gravity]], {{nowrap|1=''g''<sub>n</sub> = 9.80665 m/s<sup>2</sup>}}, is used to define the pound-force as well as the kilogram force, and the [[international avoirdupois pound]] (1959), one imperial horsepower is:
{|class=wikitable
|-
|valign=top|[[#Mechanical horsepower|Mechanical&nbsp;horsepower]]<br />hp(I)
|≡ 33,000&nbsp;[[feet-pound-force|ft lbf]]/min
{{=}} 550&nbsp;ft·lbf/s<br />
≈ 17696&nbsp;lb·ft<sup>2</sup>/s<sup>3</sup><br />
{{=}} 745.69987158227022&nbsp;[[Watt|W]]
|-
|valign=top|[[#Metric horsepower|Metric&nbsp;horsepower]]<br />hp(M) - also ''PS'', ''cv'', ''hk'', ''pk'', ''ks'' or ''ch''
|≡ 75&nbsp;[[kilogram-force|kg<sub>f</sub>]]·m/s<br />
≡ 75&nbsp;kg · 9.80665&nbsp;m/s<sup>2</sup> · 1&nbsp;m/s<br />
≡ 735.49875&nbsp;W
|-
|[[#Electrical horsepower|Electrical&nbsp;horsepower]]<br />hp(E)
|≡ 746&nbsp;W
|-
|valign=top|[[#Boiler horsepower|Boiler&nbsp;horsepower]]<br />hp(S)
|≡ 33,475 [[BTU]]/h
{{=}} 9,812.5&nbsp;W
|-
|valign=top|[[#Hydraulic horsepower|Hydraulic&nbsp;horsepower]]
|colspan=2|= flow rate ([[US gal]]/[[minute|min]]) × pressure ([[lbf/in²|psi]]) × 7/12,000<br />
or<br />
{{=}} flow rate ([[US gal]]/[[minute|min]]) × pressure ([[lbf/in²|psi]]) / 1714<br />
{{=}} 550&nbsp;ft·lbf/s<br />
{{=}} 745.69987158227022&nbsp;W
|-
|valign=top|Air&nbsp;horsepower
|colspan=2|= flow rate ( cubic feet / minute) × pressure (inches water column) / 6,356<br />
or<br />
{{=}} 550&nbsp;ft·lbf/s<br />
{{=}} 745.69987158227022&nbsp;W
|}
In certain situations it is necessary to distinguish between the various definitions of horsepower and thus a suffix is added: hp(I) for mechanical (or imperial) horsepower, hp(M) for metric horsepower, hp(S) for boiler (or steam) horsepower and hp(E) for electrical horsepower.

Hydraulic horsepower is equivalent to mechanical horsepower.{{citation needed|date=June 2014}} The formula given above is for conversion to mechanical horsepower from the factors acting on a hydraulic system.

===Mechanical horsepower===

Assuming the third [[General Conference on Weights and Measures|CGPM]] (1901, CR 70) definition of [[standard gravity]], ''g''<sub>n</sub>=9.80665&nbsp;m/s<sup>2</sup>, is used to define the pound-force as well as the kilogram force, and the [[international avoirdupois pound]] (1959), one mechanical horsepower is:


:{|
:{|
|-
|-
|1&nbsp;hp
|1&nbsp;hp
|≡ 33,000&nbsp;ft-lbf/min
|≡ 33,000&nbsp;ft·lbf/min
|colspan=3|by definition
| colspan="2" |by definition
|-
|-
|
|
|= 550&nbsp;ft·lbf/s
|= 550&nbsp;ft⋅lbf/s
|since
|since
|1 min = 60 s
|align=right|1&nbsp;min&nbsp;
|= 60&nbsp;s
|-
|-
|
|
|= 550×0.3048×0.45359237&nbsp;m·[[kilogram-force|kg<sub>f</sub>]]/s&nbsp;
|= 550 × 0.3048 × 0.45359237 m⋅[[kilogram-force|kgf]]/s
|since
|since
|1&nbsp;ft ≡ 0.3048 m and 1&nbsp;lb ≡ 0.45359237&nbsp;kg
|align=right|1&nbsp;ft
|= 0.3048&nbsp;m and 1&nbsp;lb&nbsp;=&nbsp;0.45359237&nbsp;kg
|-
|-
|
|
|= 76.0402249068&nbsp;kg<sub>f</sub>·m/s
|= 76.0402249068&nbsp;kg<sub>f</sub>⋅m/s
|
|
|
|
|
|-
|-
|
|
|= 76.0402249068×9.80665&nbsp;kg·m<sup>2</sup>/s<sup>3</sup>
|= 76.0402249068 × 9.80665&nbsp;kg⋅m<sup>2</sup>/s<sup>3</sup>
|since
|since
|''g'' = 9.80665&nbsp;m/s<sup>2</sup>
|align=right|''g''
|= 9.80665&nbsp;m/s<sup>2</sup>
|-
|-
|
|
|= 745.69987158227022&nbsp;W
|= 745.69987158227022 W ≈ 745.700 W
|since
|since
|1 W ≡ 1 [[joule|J]]/s = 1 [[Newton (unit)|N]]⋅m/s = 1 (kg⋅m/s<sup>2</sup>)⋅(m/s)
|align=right|1&nbsp;W
|≡ 1 [[joule|J]]/s&nbsp;= 1 [[Newton (unit)|N]]·m/s&nbsp; = 1&nbsp;(kg·m/s<sup>2</sup>)·(m/s)
|}
|}


Or given that 1&nbsp;hp = 550&nbsp;ft·lbf/s, 1&nbsp;ft = 0.3048&nbsp;m, 1&nbsp;lbf&nbsp;≈ 4.448&nbsp;N, 1&nbsp;J = 1&nbsp;N·m, 1&nbsp;W = 1&nbsp;J/s: 1&nbsp;hp ≈ 746&nbsp;W
Or given that 1&nbsp;hp = 550&nbsp;ft⋅lbf/s, 1&nbsp;ft = 0.3048&nbsp;m, 1&nbsp;lbf&nbsp;≈ 4.448&nbsp;N, 1&nbsp;J = 1&nbsp;N⋅m, 1&nbsp;W = 1&nbsp;J/s: 1&nbsp;hp ≈ 745.7&nbsp;W


===Metric horsepower (PS, cv, hk, pk, ks, ch){{anchor|Metric horsepower}}{{anchor|PS}}===
==={{anchor|Metric horsepower|Metric|PS|cv|hk|pk|ks|ch}} Metric horsepower (PS, KM, cv, hk, pk, k, ks, ch)===
[[File:Horsepower plain.svg|thumb|right|One ''metric horsepower'' is needed to lift 75&nbsp;[[kilogram]]s by 1&nbsp;[[metre]] in 1&nbsp;[[second]].]]


The various units used to indicate this definition (''PS'', ''cv'', ''hk'', ''pk'', ''ks'' and ''ch'') all translate to ''horse power'' in English, so it is common to see these values referred to as ''horsepower'' or ''hp'' in the press releases or media coverage of the German, French, Italian, and Japanese automobile companies. British manufacturers often intermix metric horsepower and mechanical horsepower depending on the origin of the engine in question. Sometimes the metric horsepower rating of an engine is conservative enough so that the same figure can be used for both 80/1269/EEC with metric hp and SAE J1349 with imperial hp.
The various units used to indicate this definition (''PS'', '' KM'', ''cv'', ''hk'', ''pk'', ''k'', ''ks'' and ''ch'') all translate to ''horse power'' in English. British manufacturers often intermix metric horsepower and mechanical horsepower depending on the origin of the engine in question.{{citation needed|date=April 2024}}


[[Deutsches Institut für Normung|DIN]] 66036 defines one metric horsepower as the power to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of one metre in one second:<ref>{{cite web
[[Deutsches Institut für Normung|DIN]] 66036 defines one metric horsepower as the power to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of one metre in one second:<ref>{{cite web |url=http://www.ptb.de/cms/fileadmin/internet/Themenrundgaenge/hueterin_der_einheiten/einheiten_d.pdf |title=Die gesetzlichen Einheiten in Deutschland |language=de |page=6 |trans-title=List of units of measure in Germany |publisher=Physikalisch-Technische Bundesanstalt (PTB) |access-date=13 November 2012 }}</ref> {{nowrap|75&nbsp;kg × 9.80665&nbsp;m/s<sup>2</sup> × 1&nbsp;m / 1&nbsp;s}} = 75&nbsp;[[Kilogram-force|{{abbr|kgf|Kilogram-force}}]]⋅m/s = 1&nbsp;PS. This is equivalent to 735.49875&nbsp;W, or 98.6% of an imperial horsepower. In 1972, the PS was replaced by the [[kilowatt]] as the official power-measuring unit in EEC directives.<ref>{{cite web
|url=http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=DD:I:1971_III:31971L0354:EN:PDF | archive-url=https://web.archive.org/web/20210306071848/https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX%3A31971L0354 | archive-date=2021-03-06
|url = http://www.ptb.de/cms/fileadmin/internet/Themenrundgaenge/hueterin_der_einheiten/einheiten_d.pdf
|title = Die gesetzlichen Einheiten in Deutschland
|language = German
|page = 6
|trans_title = List of units of measure in Germany
|publisher = Physikalisch-Technische Bundesanstalt (PTB)
|accessdate = 13 November 2012}}</ref> 75&nbsp;kg · 9.80665&nbsp;m/s<sup>2</sup> · 1&nbsp;m / 1&nbsp;s = 75&nbsp;{{H:title|Kilogram-force|kgf|link=yes}}·m/s = 1&nbsp;PS. This is equivalent to 735.49875&nbsp;W, or 98.6% of an imperial mechanical horsepower.

In 1972, the PS was rendered obsolete by EEC directives, when it was replaced by the [[Watt#Kilowatt|kilowatt]] as the official power-measuring unit.<ref>{{cite web
|url=http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=DD:I:1971_III:31971L0354:EN:PDF
|title=Council Directive 71/354/EEC: On the approximation of the laws of the Member States relating to units of measurement |publisher=The Council of the European Communities
|title=Council Directive 71/354/EEC: On the approximation of the laws of the Member States relating to units of measurement |publisher=The Council of the European Communities
|date=18 October 1971
|date=18 October 1971 }}</ref>
|accessdate=3 March 2012}}</ref> It is still in use for commercial and advertising purposes, in addition to the kW rating, as many customers are still not familiar with the use of kilowatts for engines.


Other names for the metric horsepower are the Dutch {{lang|nl|''paardenkracht''}} (pk), the French {{lang|fr|''cheval''}} (ch), the Spanish {{lang|es|''caballo de potencia''}} and Portuguese {{lang|pt|''cavalo-vapor''}} (cv), the Russian {{lang|ru|лошадиная сила}} (л.&nbsp;с.), the Swedish {{lang|sv|''hästkraft''}} (hk), the Finnish {{lang|fi|''hevosvoima''}} (hv), the Estonian {{lang|ee|hobujõud}} (hj), the Norwegian and Danish {{lang|da|''hestekraft''}} (hk), the Hungarian {{lang|hu|''lóerő''}} (LE), the Czech {{lang|cs|''koňská síla''}} and Slovak {{lang|sk|''konská sila''}} (k or ks), the Bosnian/Croatian/Serbian {{lang|sr|''konjska snaga''}} (KS), the Bulgarian {{lang|bg|конска сила}}, the Macedonian {{lang|mk|коњска сила}} (KC), the Polish {{lang|pl|''koń mechaniczny''}} (KM), Slovenian {{lang|sl|''konjska moč''}} (KM) and the Romanian {{lang|ro|''cal-putere''}} (CP), which all equal the German {{lang|de|''Pferdestärke''}} (PS).
Other names for the metric horsepower are the Italian {{lang|it|cavallo vapore (cv)}}, Dutch {{lang|nl|paardenkracht (pk)}}, the French {{lang|fr|cheval-vapeur (ch)}}, the Spanish {{lang|es|caballo de vapor}} and Portuguese {{lang|pt|cavalo-vapor (cv)}}, the Russian {{lang|ru|лошадиная сила (л.&nbsp;с.)}}, the Swedish {{lang|sv|hästkraft (hk)}}, the Finnish {{lang|fi|hevosvoima (hv)}}, the Estonian {{lang|et|hobujõud (hj)}}, the Norwegian and Danish {{lang|da|hestekraft (hk)}}, the Hungarian {{lang|hu|lóerő (LE)}}, the Czech {{lang|cs|koňská síla}} and Slovak {{lang|sk|konská sila (k}} or {{lang|sk|ks}}), the Serbo-Croatian {{lang|sh|konjska snaga (KS)}}, the Bulgarian {{lang|bg|конска сила}}, the Macedonian {{lang|mk|коњска сила (KC)}}, the Polish {{lang|pl|koń mechaniczny (KM)}} ({{literal translation|mechanical horse}}), Slovenian {{lang|sl|konjska moč (KM)}}, the Ukrainian {{lang|uk|кінська сила (к.&nbsp;с.)}}, the Romanian {{lang|ro|cal-putere (CP)}}, and the German {{lang|de|Pferdestärke (PS)}}.


In the 19th century, the French had their own unit, which they used instead of the CV or horsepower. It was called the [[poncelet]] and was abbreviated ''p''.
In the 19th century, [[French Revolution|revolutionary-era France]] had its own unit used to replace the ''cheval vapeur'' (horsepower); based on a 100 [[kilogram-force|kgf]]⋅m/s standard, it was called the [[poncelet]] and was abbreviated ''p''.


===Tax horsepower===
===Tax horsepower===
{{Main|Tax horsepower}}


Tax or fiscal horsepower is a non-linear rating of a motor vehicle for tax purposes.<ref>{{cite web |url=http://www.numericana.com/answer/units.htm |title=Measurements, Units of Measurement, Weights and Measures |website=numericana.com |access-date=2011-07-18 }}</ref> Tax horsepower ratings were originally more or less directly related to the size of the engine; but as of 2000, many countries changed over to systems based on {{CO2}} emissions, so are not directly comparable to older ratings.{{Citation needed|date=December 2023}} The [[Citroën 2CV]] is named for its French fiscal horsepower rating, "deux chevaux" (2CV).{{Citation needed|date=December 2023}}
{{main article|Tax horsepower}}
[[Tax horsepower]] is a non-linear rating of a motor vehicle for tax purposes.<ref>{{cite web|url=http://www.numericana.com/answer/units.htm |title=Measurements, Units of Measurement, Weights and Measures |publisher=numericana.com |date= |accessdate=2011-07-18}}</ref> The fiscal power is <math>\scriptstyle\left(\tfrac{P}{40}\right)^{1.6} + \tfrac{U}{45}</math>, where ''P'' is the maximum power in kilowatts and ''U'' is the amount of carbon dioxide (CO<sub>2</sub>) emitted in grams per kilometre. The term for CO<sub>2</sub> measurements has been included in the definition only since 1998, so older ratings in CV are not directly comparable. The fiscal power has found its way into naming of automobile models, such as the popular [[Citroën 2CV|Citroën deux-chevaux]]. The {{lang|fr|''cheval-vapeur''}} (ch) unit should not be confused with the French {{lang|fr|''cheval fiscal''}} (CV).


===Electrical horsepower===
===Electrical horsepower===
Nameplates on electrical motors show their power output, not the power input (the power delivered at the shaft, not the power consumed to drive the motor). This power output is ordinarily stated in watts or kilowatts. In the United States, the power output is stated in horsepower which, for this purpose, is defined as exactly 746&nbsp;watts. Wattage is calculated by multiplying voltage by amperage.<ref>{{cite book |first=H. Wayne |last=Beatty |title=Handbook of Electric Power Calculations |edition=Third |publisher=McGraw Hill |year=2001 |isbn=0-07-136298-3 |pages=6-14}}</ref>


===Hydraulic horsepower===
The horsepower used for electrical machines is defined as exactly 746&nbsp;W.<ref>H. Wayne Beatty, ''Handbook of Electric Power Calculations Third Edition'', McGraw Hill 2001, {{ISBN|0-07-136298-3}}, page 6-14</ref> In the US, nameplates on electrical motors show their power output in hp, not their power input. Outside the United States watts or kilowatts are generally used for electric motor ratings and in such usage it is the output power that is stated.
Hydraulic horsepower can represent the power available within [[hydraulic machinery]], power through the down-hole nozzle of a [[drilling rig]],<ref name="Schlumberger, Hydraulic horsepower" >{{cite web |title=Hydraulic Horsepower |work=Oilfield Glossary |publisher=Schlumberger |url=http://www.glossary.oilfield.slb.com/Terms/h/hydraulic_horsepower.aspx }}</ref> or can be used to estimate the mechanical power needed to generate a known hydraulic flow rate.

=== Hydraulic horsepower ===
Hydraulic horsepower can represent the power available within [[hydraulic machinery]], power through the down-hole nozzle of a [[drilling rig]],<ref name="Schlumberger, Hydraulic horsepower" >{{Cite web
|title=Hydraulic Horsepower
|work=Oilfield Glossary
|publisher=Schlumberger
|url=http://www.glossary.oilfield.slb.com/Terms/h/hydraulic_horsepower.aspx
}}</ref> or can be used to estimate the mechanical power needed to generate a known hydraulic flow rate.


It may be calculated as<ref name="Schlumberger, Hydraulic horsepower" />
It may be calculated as<ref name="Schlumberger, Hydraulic horsepower" />
: <math>\text{hydraulic horsepower} = \frac{\text{pressure} \times \text{flow rate}}{1714},</math>
: <math>\text{hydraulic power} = \frac{\text{pressure} \times \text{volumetric flow rate}}{1714},</math>
where pressure is in psi, and flow rate is in [[US gallon]]s per minute.
where pressure is in psi, and flow rate is in [[US gallon]]s per minute.


Drilling rigs are powered mechanically by rotating the drill pipe from above. Hydraulic power is still needed though, as between 2 and 7&nbsp;hp are required to push [[drilling mud|mud]] through the drill bit in order to clear waste rock. This hydraulic power, considerably more than this, may also be used to drive a down-hole mud motor to power [[directional drilling]].<ref name="Schlumberger, Hydraulic horsepower" />
Drilling rigs are powered mechanically by rotating the drill pipe from above. Hydraulic power is still needed though, as 1 500 to 5 000 W are required to push [[drilling mud|mud]] through the drill bit to clear waste rock. Additional hydraulic power may also be used to drive a down-hole mud motor to power [[directional drilling]].<ref name="Schlumberger, Hydraulic horsepower" />


When using SI units, the equation becomes coherent and there is no dividing constant.
=== Boiler horsepower ===
Boiler horsepower is a [[steam boiler|boiler]]'s capacity to deliver [[steam]] to a [[steam engine]] and is not the same unit of power as the 550&nbsp;ft-lb/s definition. One boiler horsepower is equal to the thermal energy rate required to evaporate 34.5&nbsp;lb of fresh water at 212&nbsp;°F in one hour. In the early days of steam use, the boiler horsepower was roughly comparable to the horsepower of engines fed by the boiler.<ref>Robert McCain Johnston ''Elements of Applied Thermodynamics'', Naval Institute Press, 1992 {{ISBN|1557502269}}, p. 503.</ref>


: <math>\text{hydraulic power} = \text{pressure} \times \text{volumetric flow rate}</math>
The term "boiler horsepower" was originally developed at the [[Philadelphia Centennial Exhibition]] in 1876, where the best steam engines of that period were tested. The average steam consumption of those engines (per output horsepower) was determined to be the evaporation of 30 pounds of water per hour, based on feed water at 100&nbsp;°F, and saturated steam generated at 70 [[psig]]. This original definition is equivalent to a boiler heat output of 33,485 Btu/h. Years later in 1884, the [[American Society of Mechanical Engineers|ASME]] re-defined the boiler horsepower as the thermal output equal to the evaporation of 34.5 pounds per hour of water "from and at" 212&nbsp;°F. This considerably simplified boiler testing, and provided more accurate comparisons of the boilers at that time. This revised definition is equivalent to a boiler heat output of 33,469 Btu/h. Present industrial practice is to define "boiler horsepower" as a boiler thermal output equal to 33,475 Btu/h, which is very close to the original and revised definitions.
where pressure is in pascals (Pa), and flow rate is in [[cubic metre]]s per second (m<sup>3</sup>).


===Boiler horsepower===
Boiler horsepower is still used to measure boiler output in industrial boiler engineering in Australia, the US, and New Zealand. Boiler horsepower is abbreviated BHP, not to be confused with brake horsepower, below, which is also called BHP.
Boiler horsepower is a [[steam boiler|boiler]]'s capacity to deliver [[steam]] to a [[steam engine]] and is not the same unit of power as the 550&nbsp;ft lb/s definition. One boiler horsepower is equal to the thermal energy rate required to evaporate {{convert|34.5|lb}} of fresh water at {{convert|212|°F}} in one hour. In the early days of steam use, the boiler horsepower was roughly comparable to the horsepower of engines fed by the boiler.<ref>{{citation | first=Robert | last=McCain Johnston | title=Elements of Applied Thermodynamics | publisher=Naval Institute Press | date=1992 | isbn=1557502269 | page=503 }}</ref>


The term "boiler horsepower" was originally developed at the [[Philadelphia Centennial Exhibition]] in 1876, where the best steam engines of that period were tested. The average steam consumption of those engines (per output horsepower) was determined to be the evaporation of {{convert|30|lb}} of water per hour, based on feed water at {{convert|100|°F}}, and saturated steam generated at {{cvt|70|psi}}. This original definition is equivalent to a boiler heat output of {{cvt|33,485|Btu/h|kW}}. A few years later in 1884, the [[American Society of Mechanical Engineers|ASME]] re-defined the boiler horsepower as the thermal output equal to the evaporation of 34.5 pounds per hour of water "from and at" {{convert|212|F}}. This considerably simplified boiler testing, and provided more accurate comparisons of the boilers at that time. This revised definition is equivalent to a boiler heat output of {{cvt|33,469|Btu/h|kW}}. Present industrial practice is to define "boiler horsepower" as a boiler thermal output equal to {{cvt|33,475|Btu/h|kW}}, which is very close to the original and revised definitions.
===Drawbar horsepower===

Boiler horsepower is still used to measure boiler output in industrial boiler engineering in the US. Boiler horsepower is abbreviated BHP, which is also used in many places to symbolize brake horsepower.

===Drawbar power===
{{See also|Power at rail}}
{{See also|Power at rail}}


Drawbar horsepower (dbhp) is the power a [[railway]] [[locomotive]] has available to haul a [[train]] or an agricultural tractor to pull an implement. This is a measured figure rather than a calculated one. A special [[railway car]] called a [[dynamometer car]] coupled behind the locomotive keeps a continuous record of the [[drawbar (haulage)|drawbar]] pull exerted, and the speed. From these, the power generated can be calculated. To determine the maximum power available, a controllable load is required; it is normally a second locomotive with its brakes applied, in addition to a static load.
Drawbar power (dbp) is the power a [[railway]] [[locomotive]] has available to haul a [[train]] or an agricultural tractor to pull an implement. This is a measured figure rather than a calculated one. A special [[railway car]] called a [[dynamometer car]] coupled behind the locomotive keeps a continuous record of the [[drawbar (haulage)|drawbar]] pull exerted, and the speed. From these, the power generated can be calculated. To determine the maximum power available, a controllable load is required; it is normally a second locomotive with its brakes applied, in addition to a static load.


If the drawbar force (<math>F</math>) is measured in pounds-force (lbf) and speed (<math>v</math>) is measured in miles per hour (mph), then the drawbar power (<math>P</math>) in horsepower (hp) is:
If the drawbar force ({{mvar|F}}) is measured in pounds-force (lbf) and speed ({{mvar|v}}) is measured in miles per hour (mph), then the drawbar power ({{mvar|P}}) in horsepower (hp) is


:<math>P / {\rm hp} = {(F / {\rm lbf}) (v / {\rm mph}) \over 375}</math>
<math display=block>\{P\}_\mathrm{hp} = \frac{\{F\}_\mathrm{lbf} \{v\}_\mathrm{mph}}{375}.</math>


Example: How much power is needed to pull a drawbar load of 2,025 pounds-force at 5 miles per hour?
Example: How much power is needed to pull a drawbar load of 2,025 pounds-force at 5 miles per hour?


:<math>P / {\rm hp} = {{2025 \times 5 } \over 375} = 27</math>
<math display=block>\{P\}_\mathrm{hp} = \frac{2025 \times 5}{375} = 27.</math>


The constant 375 is because 1&nbsp;hp = 375&nbsp;lbf·mph. If other units are used, the constant is different. When using coherent [[SI]] units (watts, newtons, and metres per second), no constant is needed, and the formula becomes <math>P = Fv</math>.
The constant 375 is because 1&nbsp;hp = 375&nbsp;lbf⋅mph. If other units are used, the constant is different. When using coherent [[SI]] units (watts, newtons, and metres per second), no constant is needed, and the formula becomes {{math|1=''P'' = ''Fv''}}.


This formula may also be used to calculate the horsepower of a jet engine, using the speed of the jet and the thrust required to maintain that speed.
This formula may also be used to calculate the power of a jet engine, using the speed of the jet and the thrust required to maintain that speed.


Example: How much power is generated with a thrust of 4,000 pounds at 400 miles per hour?
Example: how much power is generated with a thrust of 4000 pounds at 400 miles per hour?


:<math>P / {\rm hp} = {{4000 \times 400 } \over 375} = 4266.7</math>
<math display=block>\{P\}_\mathrm{hp} = \frac{4000 \times 400}{375} = 4266.7.</math>


===RAC horsepower (taxable horsepower)===
===RAC horsepower (taxable horsepower)===

{{See also|Tax horsepower}}
{{See also|Tax horsepower}}
This measure was instituted by the [[Royal Automobile Club]] in [[United Kingdom|Britain]] and was used to denote the power of early 20th-century British [[automobile|cars]]. (An identical measure, known as [[ALAM]] horsepower or [[National Automobile Chamber of Commerce|NACC]] horsepower, was used for early U.S. automobiles.) Many cars took their names from this figure (hence the [[Austin Motor Company|Austin]] Seven and [[Riley (automobile)|Riley]] Nine), while others had names such as "40/50 hp", which indicated the RAC figure followed by the true measured power.


This measure was instituted by the [[Royal Automobile Club]] and was used to denote the power of early 20th-century British cars. Many cars took their names from this figure (hence the Austin Seven and Riley Nine), while others had names such as "40/50 hp", which indicated the RAC figure followed by the true measured power.
Taxable horsepower does not reflect developed horsepower; rather, it is a calculated figure based on the engine's bore size, number of cylinders, and a (now archaic) presumption of engine efficiency. As new engines were designed with ever-increasing efficiency, it was no longer a useful measure, but was kept in use by UK regulations which used the rating for [[tax horsepower|tax purposes]].


Taxable horsepower does not reflect developed horsepower; rather, it is a calculated figure based on the engine's bore size, number of cylinders, and a (now archaic) presumption of engine efficiency. As new engines were designed with ever-increasing efficiency, it was no longer a useful measure, but was kept in use by UK regulations, which used the rating for [[tax horsepower|tax purposes]]. The United Kingdom was not the only country that used the RAC rating; many states in Australia used RAC hp to determine taxation.<ref>{{citation | url=https://books.google.com/books?id=JOg2WxEye1QC&pg=PA409 | title=Official Year Book of the Commonwealth of Australia | volume=44 | date=1958 | page=409 | first=S.R. | last=Carver | publisher=Commonwealth Bureau of Census and Statistics | location=Canberra }}</ref><ref>{{citation | url=https://books.google.com/books?id=wkP3icv3ilcC&pg=RA12-PA39 | ref=MVT23 | title=Motor-Vehicle Taxation and Regulations in Foreign Countries | work=The Balance of International Payments of the United States in 1922- | first=C.E. | last=Haynes | publisher=Bureau of Foreign and Domestic Commerce | date=1923 | volume=Trade Information Bulletin no. 463 | pages=39–42 }}</ref> The RAC formula was sometimes applied in British colonies as well, such as [[Kenya Colony|Kenya (British East Africa)]].<ref>[[#MVT23|Haynes]], [https://books.google.com/books?id=wkP3icv3ilcC&pg=RA12-PA43 p. 43]</ref>
:<math>\text{RAC h.p.}=\frac{2}{5}D^2 n</math>


: <math>\text{RAC h.p.} = \frac{D \times D \times n}{2.5}</math>
:where


where
: ''D'' is the diameter (or [[Bore (engine)|bore]]) of the cylinder in inches
: ''n'' is the number of cylinders <ref>{{Cite web |url= http://www.designchambers.com/wolfhound/wolfhoundRACHP.htm |title= The RAC HP (horsepower) Rating - Was there any technical basis? |first= Richard |last= Hodgson |publisher=wolfhound.org.uk |accessdate=2007-08-11 |postscript=}}</ref>


This is equal to the [[engine displacement]] in cubic inches divided by 0.625π then divided again by the [[Stroke (engine)|stroke]] in inches.
: ''D'' is the diameter (or [[Bore (engine)|bore]]) of the cylinder in inches,
: ''n'' is the number of cylinders.<ref>{{Cite web |url=http://www.designchambers.com/wolfhound/wolfhoundRACHP.htm |title=The RAC HP (horsepower) Rating - Was there any technical basis? |first=Richard |last=Hodgson |website=WolfHound.org.uk |access-date=2007-08-11 }}</ref>


Since taxable horsepower was computed based on bore and number of cylinders, not based on actual displacement, it gave rise to engines with 'undersquare' dimensions (bore smaller than stroke) this tended to impose an artificially low limit on rotational speed ([[revolutions per minute|rpm]]), hampering the potential power output and efficiency of the engine.
Since taxable horsepower was computed based on bore and number of cylinders, not based on actual displacement, it gave rise to engines with "undersquare" dimensions (bore smaller than stroke), which tended to impose an artificially low limit on [[rotational speed]], hampering the potential power output and efficiency of the engine.


The situation persisted for several generations of four- and six-cylinder British engines: for example, [[Jaguar (car)|Jaguar's]] 3.4-litre XK engine of the 1950s had six cylinders with a bore of {{convert|83|mm|in|abbr=on|sigfig=3}} and a stroke of {{convert|106|mm|in|abbr=on|sigfig=3}},<ref>{{Cite web|first=Dan |last=Mooney |url=http://www.classicjaguar.com/xkengine.html |title=The XK engine by Roger Bywater |publisher=Classicjaguar.com |date= |accessdate=2010-03-13 |postscript= |deadurl=yes |archiveurl=https://web.archive.org/web/20100223052130/http://www.classicjaguar.com/xkengine.html |archivedate=2010-02-23 |df= }}</ref> where most American automakers had long since moved to oversquare (large bore, short stroke) [[V8 engine|V-8s]] (see, for example, the early [[Chrysler FirePower engine|Chrysler Hemi]]).
The situation persisted for several generations of four- and six-cylinder British engines: For example, [[Jaguar Cars|Jaguar's]] 3.4-litre XK engine of the 1950s had six cylinders with a bore of {{convert|83|mm|in|abbr=on|sigfig=3}} and a stroke of {{convert|106|mm|in|abbr=on|sigfig=3}},<ref>{{Cite web |first=Dan |last=Mooney |url=http://www.classicjaguar.com/xkengine.html |title=The XK engine by Roger Bywater |website=ClassicJaguar.com |access-date=2010-03-13 |url-status=dead |archive-url=https://web.archive.org/web/20100223052130/http://www.classicjaguar.com/xkengine.html |archive-date=2010-02-23 }}</ref> where most American automakers had long since moved to oversquare (large bore, short stroke) [[V8 engine]]s. See, for example, the early [[Chrysler Hemi engine#First generation: FirePower|Chrysler Hemi engine]].


==Measurement==
==Measurement==


The power of an engine may be measured or estimated at several points in the transmission of the power from its generation to its application. A number of names are used for the power developed at various stages in this process, but none is a clear indicator of either the measurement system or definition used.
The power of an engine may be measured or estimated at several points in the transmission of the power from its generation to its application. A number of names are used for the power developed at various stages in this process, but none is a clear indicator of either the measurement system or definition used.

In the case of an engine [[dynamometer]], power is measured at the engine's [[flywheel]].{{citation needed|date=June 2014}} Also, with a chassis dynamometer or ''rolling road'', power output is measured at the driving wheels. This accounts for energy or power loss through the drive train inefficiencies and weight thereof as well as gravitational force placed upon components therein.


In general:
In general:
:[[#Nominal (or rated) horsepower (nhp or rhp)|Nominal]] or rated horsepower is derived from the size of the engine and the piston speed and is only accurate at a steam pressure of {{convert|48|kPa|psi|0|abbr=on}}.<ref name=Brown>{{cite|last1= Brown |first1 = David K | title = Before the ironclad|publisher= Conway|date=1990|page=188|isbn=0851775322}}</ref>
:[[#Nominal horsepower|nominal]] horsepower is derived from the size of the engine and the piston speed and is only accurate at a steam pressure of {{convert|48|kPa|psi|0|abbr=on}};<ref name=Brown>{{citation|last1= Brown |first1 = David K | title = Before the ironclad|publisher= Conway|date=1990|page=188|isbn=0851775322}}</ref>
:[[#Indicated horsepower|Indicated]] or gross horsepower (theoretical capability of the engine) [ PLAN/ 33000]
:[[#Indicated horsepower|indicated]] or gross horsepower is the theoretical capability of the engine [PLAN/ 33000];
:[[#Brake horsepower|brake]]/net/crankshaft horsepower (power delivered directly to and measured at the engine's crankshaft) equals
::minus frictional losses within the engine (bearing drag, rod and crankshaft windage losses, oil film drag, etc.), equals
::indicated horsepower minus frictional losses within the engine (bearing drag, rod and crankshaft windage losses, oil film drag, etc.);
:[[#Brake horsepower|Brake]] / net / crankshaft horsepower (power delivered directly to and measured at the engine's crankshaft)
:[[#Shaft horsepower|shaft]] horsepower (power delivered to and measured at the output shaft of the transmission, when present in the system) equals
::minus frictional losses in the transmission (bearings, gears, oil drag, windage, etc.), equals
::crankshaft horsepower minus frictional losses in the transmission (bearings, gears, oil drag, windage, etc.);
:[[#Shaft horsepower|Shaft]] horsepower (power delivered to and measured at the output shaft of the transmission, when present in the system)
:effective or true (thp), commonly referred to as wheel horsepower (whp), equals
::minus frictional losses in the universal joint/s, differential, wheel bearings, tire and chain, (if present), equals
::shaft horsepower minus frictional losses in the universal joint/s, differential, wheel bearings, tire and chain, (if present).
:[[#Effective horsepower (ehp)|Effective]], True (thp) or commonly referred to as wheel horsepower (whp)


All the above assumes that no power inflation factors have been applied to any of the readings.
All the above assumes that no power inflation factors have been applied to any of the readings.
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Engine designers use expressions other than horsepower to denote objective targets or performance, such as brake mean effective pressure (BMEP). This is a coefficient of theoretical brake horsepower and cylinder pressures during combustion.
Engine designers use expressions other than horsepower to denote objective targets or performance, such as brake mean effective pressure (BMEP). This is a coefficient of theoretical brake horsepower and cylinder pressures during combustion.


===<span id="nhp"></span>Nominal (or rated) horsepower===
==={{anchor|nhp}}{{anchor|Nominal horsepower}} Nominal horsepower===
Nominal horsepower (nhp) is an early 19th-century [[rule of thumb]] used to estimate the power of steam engines.<ref name="Brown" /> It assumed a steam pressure of {{convert|7|psi|kPa|0|abbr=on}}.<ref name=WhitePage520/>
Nominal horsepower (nhp) is an early 19th-century [[rule of thumb]] used to estimate the power of steam engines.<ref name="Brown" /> It assumed a steam pressure of {{convert|7|psi|kPa|0|abbr=on}}.<ref name=WhitePage520/>


nhp = 7 x area of piston x equivalent piston speed/33,000
Nominal horsepower = 7 × area of piston in square inches × equivalent piston speed in feet per minute/33,000.


For paddle ships, the Admiralty rule was that the piston speed in feet per minute was taken as 129.7 x (stroke)<sup>1/3.38</sup>.<ref name="Brown" /><ref name=WhitePage520/><!-- White says 3.38, whereas Brown says 3.35. Brown's table also has an error and says the piston speed is feet per second, when it is feet per minute as pointed out by User:Fredrosse 20:25, 22 January 2009‎.--> For screw steamers, the intended piston speed was used.<ref name=WhitePage520/>
For paddle ships, the Admiralty rule was that the piston speed in feet per minute was taken as 129.7 × (stroke)<sup>1/3.38</sup>.<ref name="Brown" /><ref name=WhitePage520/><!-- White says 3.38, whereas Brown says 3.35. Brown's table also has an error and says the piston speed is feet per second, when it is feet per minute as pointed out by User:Fredrosse 20:25, 22 January 2009.--> For screw steamers, the intended piston speed was used.<ref name=WhitePage520/>


The stroke (or length of stroke) was the distance moved by the piston measured in feet.
The stroke (or length of stroke) was the distance moved by the piston measured in feet.
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The French Navy used the same definition of nominal horse power as the Royal Navy.<ref name="Brown" />
The French Navy used the same definition of nominal horse power as the Royal Navy.<ref name="Brown" />


{| class="wikitable sortable collapsible collapsed"
{| class="wikitable sortable collapsible"
|-valign="top"
!colspan=5|Comparison of nominal and indicated horse power
!colspan=5|Comparison of nominal and indicated horse power
|-
|-valign="top"
! | Ship
! | Ship
! | Indicated horse power (ihp)
! | Indicated horse power (ihp)
Line 288: Line 236:
| align = right | 200
| align = right | 200
| align = right | 1.36
| align = right | 1.36
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Locust (1840)|''Locust'']]
|| [[HMS Locust (1840)|''Locust'']]
Line 294: Line 242:
| align = right | 100
| align = right | 100
| align = right | 1.57
| align = right | 1.57
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Rhadamanthus (1832)|''Rhadamanthus'']]
|| [[HMS Rhadamanthus (1832)|''Rhadamanthus'']]
Line 300: Line 248:
| align = right | 220
| align = right | 220
| align = right | 1.82
| align = right | 1.82
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Albacore (1856)|''Albacore'']]
|| [[HMS Albacore (1856)|''Albacore'']]
Line 306: Line 254:
| align = right | 60
| align = right | 60
| align = right | 1.82
| align = right | 1.82
|| <ref name=WhitePage520>{{cite |title= A Manual of Naval Architecture | first1 = William Henry |last1 = White | authorlink = William Henry White |edition = 2 |date = 1882 | publisher= John Murray| page = 520}}</ref>
||<ref name=WhitePage520>{{citation |title= A Manual of Naval Architecture | first1 = William Henry |last1 = White | author-link = William Henry White |edition = 2 |date = 1882 | publisher= John Murray| page = 520 |url=https://archive.org/details/amanualnavalarc04whitgoog/page/n542/mode/1up }}</ref>
|-valign="top"
|-valign="top"
|| [[HMS Porcupine (1844)|''Porcupine'']]
|| [[HMS Porcupine (1844)|''Porcupine'']]
Line 312: Line 260:
| align = right | 132
| align = right | 132
| align = right | 2.16
| align = right | 2.16
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Harpy (1845)|''Harpy'']]
|| [[HMS Harpy (1845)|''Harpy'']]
Line 318: Line 266:
| align = right | 200
| align = right | 200
| align = right | 2.60
| align = right | 2.60
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Spitfire (1845)|''Spitfire'']]
|| [[HMS Spitfire (1845)|''Spitfire'']]
Line 324: Line 272:
| align = right | 140
| align = right | 140
| align = right | 2.70
| align = right | 2.70
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Spiteful (1842)|''Spiteful'']]
|| [[HMS Spiteful (1842)|''Spiteful'']]
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| align = right | 280
| align = right | 280
| align = right | 2.85
| align = right | 2.85
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Jackal (1844)|''Jackal'']]
|| [[HMS Jackal (1844)|''Jackal'']]
Line 336: Line 284:
| align = right | 150
| align = right | 150
| align = right | 3.03
| align = right | 3.03
|| <ref name="Brown" />
||<ref name="Brown" />
|-valign="top"
|-valign="top"
|| [[HMS Supply (1854)|''Supply'']]
|| [[HMS Supply (1854)|''Supply'']]
Line 342: Line 290:
| align = right | 80
| align = right | 80
| align = right | 3.31
| align = right | 3.31
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Simoom (1849)|''Simoom'']]
|| [[HMS Simoom (1849)|''Simoom'']]
Line 348: Line 296:
| align = right | 400
| align = right | 400
| align = right | 3.94
| align = right | 3.94
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Hector (1861)|''Hector'']]
|| [[HMS Hector (1862)|''Hector'']]
| align = right | 3,256
| align = right | 3,256
| align = right | 800
| align = right | 800
| align = right | 4.07
| align = right | 4.07
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Agincourt (1865)|''Agincourt'']]
|| [[HMS Agincourt (1865)|''Agincourt'']]
Line 360: Line 308:
| align = right | 1,350
| align = right | 1,350
| align = right | 5.08
| align = right | 5.08
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Bellerophon (1865)|''Bellerophon'']]
|| [[HMS Bellerophon (1865)|''Bellerophon'']]
Line 366: Line 314:
| align = right | 1,000
| align = right | 1,000
| align = right | 6.52
| align = right | 6.52
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Monarch (1868)|''Monarch'']]
|| [[HMS Monarch (1868)|''Monarch'']]
Line 372: Line 320:
| align = right | 1,100
| align = right | 1,100
| align = right | 7.13
| align = right | 7.13
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-valign="top"
|-valign="top"
|| [[HMS Penelope (1867)|''Penelope'']]
|| [[HMS Penelope (1867)|''Penelope'']]
Line 378: Line 326:
| align = right | 600
| align = right | 600
| align = right | 7.84
| align = right | 7.84
|| <ref name=WhitePage520/>
||<ref name=WhitePage520/>
|-
|-
|}
|}


==={{anchor|Indicated horsepower|ihp}} Indicated horsepower===
==={{anchor|Indicated horsepower|ihp}} Indicated horsepower===
Indicated horsepower (ihp) is the theoretical power of a reciprocating engine if it is completely frictionless in converting the expanding gas energy (piston pressure × displacement) in the cylinders. It is calculated from the pressures developed in the cylinders, measured by a device called an ''[[indicator diagram|engine indicator]]'' – hence indicated horsepower. As the piston advances throughout its stroke, the pressure against the piston generally decreases, and the indicator device usually generates a graph of pressure vs stroke within the working cylinder. From this graph the amount of work performed during the piston stroke may be calculated.
Indicated horsepower (ihp) is the theoretical power of a reciprocating engine if it is completely frictionless in converting the expanding gas energy (piston pressure × displacement) in the cylinders. It is calculated from the pressures developed in the cylinders, measured by a device called an ''[[indicator diagram|engine indicator]]'' – hence indicated horsepower. As the piston advances throughout its stroke, the pressure against the piston generally decreases, and the indicator device usually generates a graph of pressure vs stroke within the working cylinder. From this graph the amount of work performed during the piston stroke may be calculated.


Indicated horsepower was a better measure of engine power than nominal horsepower (nhp) because it took account of steam pressure. But unlike later measures such as shaft horsepower (shp) and brake horsepower (bhp), it did not take into account power losses due to the machinery internal frictional losses, such as a piston sliding within the cylinder, plus bearing friction, transmission and gear box friction, etc.
Indicated horsepower was a better measure of engine power than nominal horsepower (nhp) because it took account of steam pressure. But unlike later measures such as shaft horsepower (shp) and brake horsepower (bhp), it did not take into account power losses due to the machinery internal frictional losses, such as a piston sliding within the cylinder, plus bearing friction, transmission and gear box friction, etc.


==={{anchor|brake horsepower|bhp|Brake_horsepower_.28bhp.29}} Brake horsepower===
==={{anchor|bhp|Brake_horsepower_(bhp)}} Brake horsepower===
<!-- "Brake horsepower" redirects here. -->
Brake horsepower (bhp) is the power measured at the crankshaft just outside the engine, before the losses of power caused by the gearbox and drive train.
'''Brake horsepower''' ('''bhp''') is the power measured using a brake type (load) dynamometer at a specified location, such as the crankshaft, output shaft of the transmission, rear axle or rear wheels.<ref>{{cite web |url=https://sciencestruck.com/what-is-bhp-brake-horsepower |title=What is Brake Horsepower (BHP)? |website=ScienceStruck.com |date=June 2009 |access-date=26 September 2022 }}</ref>


In Europe, the [[horsepower#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standard tests the engine fitted with all ancillaries and exhaust system as used in the car. The older American standard ([[Horsepower#SAE gross power|SAE gross horsepower]], referred to as bhp) used an engine without alternator, water pump, and other auxiliary components such as power steering pump, muffled exhaust system, etc., so the figures were higher than the European figures for the same engine. The newer American standard (referred to as SAE net horsepower) tests an engine with all the auxiliary components (see "Engine power test standards" below).
In Europe, the [[#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standard tests the engine fitted with all ancillaries and the exhaust system as used in the car. The older American standard ([[#SAE gross power|SAE gross horsepower]], referred to as ''bhp'') used an engine without [[alternator]], water pump, and other auxiliary components such as power steering pump, muffled exhaust system, etc., so the figures were higher than the European figures for the same engine. The newer American standard (referred to as [[#SAE net power|SAE net horsepower]]) tests an engine with all the auxiliary components (see "Engine power test standards" below).{{Citation needed|date=December 2023}}


Brake refers to the device which was used to load an engine and hold it at a desired rotational speed. During testing, the output torque and rotational speed were measured to determine the brake horsepower. Horsepower was originally measured and calculated by use of the "indicator diagram" (a James Watt invention of the late 18th century), and later by means of a [[Prony brake]] connected to the engine's output shaft. More recently, an electrical brake [[dynamometer]] is used instead of a Prony brake. Although the output delivered to the drive wheels is less than that obtainable at the engine's crankshaft, use of a chassis dynamometer gives an indication of an engine's "real world" horsepower after losses in the drive train and gearbox.
''Brake'' refers to the device which is used to provide an equal braking force, load to balance, or equal an engine's output force and hold it at a desired rotational speed. During testing, the output torque and rotational speed are measured to determine the brake horsepower. Horsepower was originally measured and calculated by use of the "indicator diagram" (a James Watt invention of the late 18th century), and later by means of a [[Prony brake]] connected to the engine's output shaft. Modern [[dynamometer]]s use any of several braking methods to measure the engine's brake horsepower, the actual output of the engine itself, before losses to the drivetrain.{{Citation needed|date=December 2023}}


===Shaft horsepower===
===Shaft horsepower===
Shaft horsepower (shp) is the power delivered to a propeller shaft, a turbine shaft – or to an output shaft of an automotive transmission.<ref>[https://en.oxforddictionaries.com/definition/shaft_horsepower Oxford Dictionary. Retrieved 2016-12-06.] [http://www.dictionary.com/browse/shaft-horsepower Dictionary.com Unabridged, Random House Inc. Retrieved 2016-12-06.]</ref> This shaft horsepower can be measured with a [[Torque sensor|torque (torsion) meter]], or estimated from the horsepower at the crankshaft and a standard figure for the losses in the transmission (typical figures are around 10%). Shaft horsepower is a common rating for jet engines, industrial turbines, and some marine applications. Reciprocating internal-combustion [[automobile]] engines are rated instead in the USA by SAE certified net power, which is measured at the engine's crankshaft, and so does not account for losses in the transmission.
Shaft horsepower (shp) is the power delivered to a propeller or turbine shaft.<ref>[https://web.archive.org/web/20161220105927/https://en.oxforddictionaries.com/definition/shaft_horsepower Oxford Dictionary. Retrieved 2016-12-06.] [http://www.dictionary.com/browse/shaft-horsepower Dictionary.com Unabridged, Random House Inc. Retrieved 2016-12-06.]</ref> Shaft horsepower is a common rating for turboshaft and turboprop engines, industrial turbines, and some marine applications.


Equivalent shaft horsepower (eshp) is sometimes used to rate [[turboprop]] engines. It includes the equivalent power derived from residual jet thrust from the turbine exhaust.<ref>{{cite web|url=http://aviation_dictionary.enacademic.com/2550/equivalent_shaft_horsepower|title=equivalent shaft horsepower|website=aviation_dictionary.enacademic.com|access-date=2018-01-17|archive-date=2018-01-17|archive-url=https://web.archive.org/web/20180117190551/http://aviation_dictionary.enacademic.com/2550/equivalent_shaft_horsepower|url-status=dead}}</ref> {{convert|2.5|lbf}} of residual jet thrust is estimated to be produced from one unit of horsepower.<ref name="AF1961">{{cite book |title=Aircraft performance: Reciprocating and turboprop engine aircraft |url={{GBurl|e16zH8NumIQC|pg=SA7-PA36}} |author=[[Department of the Air Force]] |date=November 30, 1961 |pages=7–36}}</ref>
===Wheel horsepower===
Motor vehicle dynamometers can measure wheel horsepower (whp), which is the effective, true horsepower delivered to the driving wheel(s), representing the actual power available to accelerate the vehicle after all losses in the drive train, and all parasitic losses such as pumps, fans, alternator, muffled exhaust, etc. The vehicle is generally attached to the dynamometer and accelerates a large roller and Power Absorbing Unit which is driven by the vehicle's drive wheel(s). The actual power is then computer calculated based on the rotational inertia of the roller, its resultant acceleration rates and power applied by the Power Absorbing Unit. Some motor vehicle (and motorbike) dynamometers can also be purely inertia-based where the power output is calculated from measuring the acceleration of a roller drum with a known rotational inertia and known parasitic frictional losses of the roller drum's bearings.


==Engine power test standards==
=={{anchor|netgross|standards}} Engine power test standards==
There exist a number of different standard determining how the power and torque of an automobile engine is measured and corrected. Correction factors are used to adjust power and torque measurements to standard atmospheric conditions, to provide a more accurate comparison between engines as they are affected by the pressure, humidity, and temperature of ambient air.<ref>Heywood, J.B. "Internal Combustion Engine Fundamentals", {{ISBN|0-07-100499-8}}, page 54</ref> Some standards are described below.
There exist a number of different standards determining how the power and torque of an automobile engine is measured and corrected. Correction factors are used to adjust power and torque measurements to standard atmospheric conditions, to provide a more accurate comparison between engines as they are affected by the pressure, humidity, and temperature of ambient air.<ref>Heywood, J.B. "Internal Combustion Engine Fundamentals", {{ISBN|0-07-100499-8}}, page 54</ref> Some standards are described below.


===Society of Automotive Engineers/SAE International===
==={{anchor|SAE}} Society of Automotive Engineers/SAE International===


====Early "SAE horsepower" (see [[Horsepower#RAC horsepower (taxable horsepower)|RAC horsepower]])====
====Early "SAE horsepower"====
{{for|the SAE horsepower formula|#RAC horsepower (taxable horsepower)}}
In the early twentieth century, a so-called "SAE horsepower" was sometimes quoted for U.S. automobiles. This long predates the [[Society of Automotive Engineers|Society of Automotive Engineers (SAE)]] horsepower measurement standards and was really just another term for the widely used ALAM or NACC horsepower figure, which was the same as the British RAC horsepower, used for tax purposes.
In the early twentieth century, a so-called "SAE horsepower" was sometimes quoted for U.S. automobiles. This long predates the [[Society of Automotive Engineers|Society of Automotive Engineers (SAE)]] horsepower measurement standards and was another name for the industry standard [[ALAM]] or [[National Automobile Chamber of Commerce|NACC]] horsepower figure and the same as the British RAC horsepower also used for tax purposes. [[Alliance of Automobile Manufacturers|Alliance for Automotive Innovation]] is the current successor of ALAM and NACC.


====SAE gross power====
===={{anchor|SAE gross}} SAE gross power====
Prior to the 1972 model year, American automakers rated and advertised their engines in brake horsepower, ''[[horsepower#Brake horsepower (bhp)|bhp]]'', which was a version of brake horsepower called SAE gross horsepower because it was measured according to Society of Automotive Engineers (SAE) standards (J245 and J1995) that call for a stock test engine without accessories (such as dynamo/alternator, radiator fan, water pump),<ref name="Lucchesi" /> and sometimes fitted with long tube test [[Exhaust manifold|headers]] in lieu of the [[Original equipment manufacturer|OEM]] exhaust manifolds. This contrasts with both [[horsepower#SAE net power|SAE net power]] and [[horsepower#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standards, which account for engine accessories (but not transmission losses). The atmospheric correction standards for barometric pressure, humidity and temperature for SAE gross power testing were relatively idealistic.
Prior to the 1972 model year, American automakers rated and advertised their engines in brake horsepower, ''[[#Brake horsepower|bhp]]'', which was a version of brake horsepower called SAE gross horsepower because it was measured according to Society of Automotive Engineers (SAE) standards (J245 and J1995) that call for a stock test engine without accessories (such as dynamo/alternator, radiator fan, water pump),<ref name="Lucchesi" /> and sometimes fitted with long tube test [[Exhaust manifold|headers]] in lieu of the [[Original equipment manufacturer|OEM]] exhaust manifolds. This contrasts with both SAE net power and [[#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standards, which account for engine accessories (but not transmission losses). The atmospheric correction standards for barometric pressure, humidity and temperature for SAE gross power testing were relatively idealistic.


====SAE net power====
===={{anchor|SAE net}} SAE net power====
In the United States, the term ''[[horsepower#Brake horsepower (bhp)|bhp]]'' fell into disuse in 1971–1972, as automakers began to quote power in terms of SAE net horsepower in accord with SAE standard J1349. Like [[horsepower#SAE gross power|SAE gross]] and other brake horsepower protocols, SAE net hp is measured at the engine's crankshaft, and so does not account for transmission losses. However, similar to the [[horsepower#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standard, SAE net power testing protocol calls for standard production-type belt-driven accessories, air cleaner, emission controls, exhaust system, and other power-consuming accessories. This produces ratings in closer alignment with the power produced by the engine as it is actually configured and sold.
In the United States, the term ''[[#Brake horsepower|bhp]]'' fell into disuse in 1971–1972, as automakers began to quote power in terms of SAE net horsepower in accord with SAE standard J1349. Like SAE gross and other brake horsepower protocols, SAE net hp is measured at the engine's crankshaft, and so does not account for transmission losses. However, similar to the [[#Deutsches Institut für Normung 70020 (DIN 70020)|DIN 70020]] standard, SAE net power testing protocol calls for standard production-type belt-driven accessories, air cleaner, emission controls, exhaust system, and other power-consuming accessories. This produces ratings in closer alignment with the power produced by the engine as it is actually configured and sold.


====SAE certified power====
====SAE certified power====
In 2005, the SAE introduced "SAE Certified Power" with SAE J2723.<ref>{{cite web|url=http://www.sae.org/certifiedpower/ |title=Certified Power - SAE J1349 Certified Power SAE International |publisher=Sae.org |date= |accessdate=2011-07-18}}</ref> This test is voluntary and is in itself not a separate engine test code but a certification of either J1349 or J1995 after which the manufacturer is allowed to advertise "Certified to SAE J1349" or "Certified to SAE J1995" depending on which test standard have been followed. To attain certification the test must follow the SAE standard in question, take place in an [[ISO 9000]]/9002 certified facility and be witnessed by an SAE approved third party.
In 2005, the SAE introduced "SAE Certified Power" with SAE J2723.<ref>{{cite web |url=http://www.sae.org/certifiedpower/ |title=Certified Power - SAE J1349 Certified Power SAE International |publisher=Sae.org |access-date=2011-07-18 |archive-url=https://web.archive.org/web/20110728010616/http://www.sae.org/certifiedpower/ |archive-date=2011-07-28 |url-status=dead }}</ref> To attain certification the test must follow the SAE standard in question, take place in an [[ISO 9000]]/9002 certified facility and be witnessed by an SAE approved third party.


A few manufacturers such as Honda and Toyota switched to the new ratings immediately, with multi-directional results; the rated output of [[Cadillac|Cadillac's]] [[supercharger|supercharged]] [[GM Premium V engine#Supercharged|Northstar]] V8 jumped from {{convert|440|to|469|hp|kW|abbr=on}} under the new tests, while the rating for [[Toyota Motor Corporation|Toyota's]] [[Toyota Camry|Camry]] 3.0&nbsp;L ''[[Toyota MZ engine#1MZ-FE|1MZ-FE]]'' V6 fell from {{convert|210|to|190|hp|kW|abbr=on}}. The company's Lexus ES 330 and Camry SE V6 were previously rated at {{convert|225|hp|kW|abbr=on}} but the ES 330 dropped to {{convert|218|hp|kW|abbr=on}} while the Camry declined to {{convert|210|hp|kW|abbr=on}}. The first engine certified under the new program was the 7.0&nbsp;L [[GM LS engine#7.0 L|LS7]] used in the 2006 [[Chevrolet Corvette]] Z06. Certified power rose slightly from {{convert|500|to|505|hp|kW|sigfig=3|abbr=on}}.
A few manufacturers such as Honda and Toyota switched to the new ratings immediately.<ref name=JPlungis>Jeff Plungis, ''Asians Oversell Horsepower'', Detroit News</ref> The rating for [[Toyota Motor Corporation|Toyota's]] [[Toyota Camry|Camry]] 3.0&nbsp;L ''[[Toyota MZ engine#1MZ-FE|1MZ-FE]]'' V6 fell from {{convert|210|to|190|hp|kW|abbr=on}}.<ref name=JPlungis/> The company's Lexus ES 330 and Camry SE V6 (3.3&nbsp;L V6) were previously rated at {{convert|225|hp|kW|abbr=on}} but the ES 330 dropped to {{convert|218|hp|kW|abbr=on}} while the Camry declined to {{convert|210|hp|kW|abbr=on}}. The first engine certified under the new program was the 7.0&nbsp;L [[GM LS engine#7.0 L|LS7]] used in the 2006 [[Chevrolet Corvette]] Z06. Certified power rose slightly from {{convert|500|to|505|hp|kW|sigfig=3|abbr=on}}.


While Toyota and Honda are retesting their entire vehicle lineups, other automakers generally are retesting only those with updated powertrains. For example, the 2006 Ford Five Hundred is rated at 203 horsepower, the same as that of 2005 model. However, the 2006 rating does not reflect the new SAE testing procedure, as Ford is not going to incur the extra expense of retesting its existing engines. Over time, most automakers are expected to comply with the new guidelines.
While Toyota and Honda are retesting their entire vehicle lineups, other automakers generally are retesting only those with updated powertrains.<ref name=JPlungis/> For example, the 2006 Ford Five Hundred is rated at {{convert|203|hp}}, the same as that of 2005 model. However, the 2006 rating does not reflect the new SAE testing procedure, as Ford did not opt to incur the extra expense of retesting its existing engines.<ref name=JPlungis/> Over time, most automakers are expected to comply with the new guidelines.


SAE tightened its horsepower rules to eliminate the opportunity for engine manufacturers to manipulate factors affecting performance such as how much oil was in the crankcase, engine control system calibration, and whether an engine was tested with premium fuel. In some cases, such can add up to a change in horsepower ratings. A road test editor at Edmunds.com, John Di Pietro, said decreases in horsepower ratings for some 2006 models are not that dramatic. For vehicles like a midsize family sedan, it is likely that the reputation of the manufacturer will be more important.<ref>Jeff Plungis, ''Asians Oversell Horsepower'', Detroit News</ref>
SAE tightened its horsepower rules to eliminate the opportunity for engine manufacturers to manipulate factors affecting performance such as how much oil was in the crankcase, engine control system calibration, and whether an engine was tested with high octane fuel. In some cases, such can add up to a change in horsepower ratings.


==={{anchor|DIN|70020}}''Deutsches Institut für Normung'' 70020 (DIN 70020)===
==={{anchor|DIN|70020}}''Deutsches Institut für Normung'' 70020 (DIN 70020)===
DIN 70020 is a [[Germany|German]] [[DIN]] standard for measuring road vehicle horsepower. Similar to [[horsepower#SAE gross power|SAE net power]] rating, and unlike [[horsepower#SAE gross power|SAE gross power]] , DIN testing measures the engine as installed in the vehicle, with cooling system, charging system and stock exhaust system all connected. DIN 70020 is often seen abbreviated as "PS", derived from the German word for horsepower ''[[#Metric horsepower|Pferdestärke]]''. DIN hp is measured at the engine's output shaft, usually expressed in metric horsepower rather than [[#Mechanical horsepower|mechanical horsepower]].
DIN 70020 is a German [[DIN]] standard for measuring road vehicle horsepower. DIN hp is measured at the engine's output shaft as a form of [[#Metric horsepower|metric horsepower]] rather than [[#Mechanical horsepower|mechanical horsepower]]. Similar to [[#SAE gross power|SAE net power]] rating, and unlike [[#SAE gross power|SAE gross power]], DIN testing measures the engine as installed in the vehicle, with cooling system, charging system and stock exhaust system all connected. DIN&nbsp;hp is often abbreviated as "[[#Metric horsepower|PS]]", derived from the German word '''''Pferdestärke''''' (literally, "horsepower").


===CUNA===
===CUNA===
A test standard by [[Italy|Italian]] CUNA (''Commissione Tecnica per l'Unificazione nell'Automobile'', Technical Commission for Automobile Unification), a federated entity of [[standards organisation]] [[Ente Nazionale Italiano di Unificazione|UNI]], was formerly used in Italy.
A test standard by [[Italy|Italian]] CUNA (''Commissione Tecnica per l'Unificazione nell'Automobile'', Technical Commission for Automobile Unification), a federated entity of [[standards organisation]] [[Ente Nazionale Italiano di Unificazione|UNI]], was formerly used in Italy.
CUNA prescribed that the engine be tested with all accessories necessary to its running fitted (such as the water pump), while all others—such as alternator/dynamo, radiator fan, and exhaust manifold—could be omitted.<ref name="Lucchesi">{{cite book |url=https://books.google.it/books?id=FVF6CERm7poC&pg=PA550 |first=Domenico |last=Lucchesi |title=Corso di tecnica automobilistica, vol. 1º—Il motore |page=550 |publisher=[[Hoepli|Ulrico Hoepli Editore S.p.A.]] |edition=6th |year=2004 |language=it |isbn=88-203-1493-2}}</ref> All calibration and accessories had to be as on production engines.<ref name="Lucchesi" />
CUNA prescribed that the engine be tested with all accessories necessary to its running fitted (such as the water pump), while all others – such as alternator/dynamo, radiator fan, and exhaust manifold – could be omitted.<ref name="Lucchesi">{{cite book |url=https://books.google.com/books?id=FVF6CERm7poC&pg=PA550 |first=Domenico |last=Lucchesi |title=Corso di tecnica automobilistica, vol. 1<sup>o</sup>—Il motore |page=550 |publisher=[[Hoepli Editore|Ulrico Hoepli Editore S.p.A.]] |edition=6th |year=2004 |language=it |isbn=88-203-1493-2}}</ref> All calibration and accessories had to be as on production engines.<ref name="Lucchesi" />


==={{anchor|ECE R24}}Economic Commission for Europe R24===
==={{anchor|ECE R24}}Economic Commission for Europe R24===
ECE R24 is a [[UNECE Regulations|UN standard]] for the approval of compression ignition engine emissions, installation and measurement of engine power.<ref>[http://www.unece.org/trans/main/wp29/wp29regs/r024r2e.pdf ECE Regulation 24, Revision 2, Annex 10]</ref> It is similar to DIN 70020 standard, but with different requirements for connecting an engine's fan during testing causing it to absorb less power from the engine.<ref>{{cite web |first=Jim |last=Breen |url=http://www.farmersjournal.ie/2003/0322/farmmanagement/machinery/tractor.htm |archive-url=https://archive.is/20030406025121/http://www.farmersjournal.ie/2003/0322/farmmanagement/machinery/tractor.htm |dead-url=yes |archive-date=2003-04-06 |title=Farmers Journal: Tractor and machine comparison: what's the ‘true' measure - 22 March 2003 |publisher=Farmersjournal.ie |date=2003-03-22 }}</ref>
ECE R24 is a [[UNECE Regulations|UN standard]] for the approval of compression ignition engine emissions, installation and measurement of engine power.<ref>{{cite web|url=http://www.unece.org/fileadmin/DAM/trans/main/wp29/wp29regs/r024r2e.pdf|title=Text of the 1958 Agreement, ECE Regulation 24, Revision 2, Annex 10|website=www.unece.org}}</ref> It is similar to DIN 70020 standard, but with different requirements for connecting an engine's fan during testing causing it to absorb less power from the engine.<ref>{{cite web |first=Jim |last=Breen |url=http://www.farmersjournal.ie/2003/0322/farmmanagement/machinery/tractor.htm |archive-url=https://archive.today/20030406025121/http://www.farmersjournal.ie/2003/0322/farmmanagement/machinery/tractor.htm |url-status=dead |archive-date=2003-04-06 |title= Tractor and machine comparison: what's the 'true' measure |publisher=Irish Farmers Journal |date=2003-03-22 }}</ref>


==={{anchor|ECE R85}}Economic Commission for Europe R85===
==={{anchor|ECE R85}}Economic Commission for Europe R85===
ECE R85 is a [[UNECE Regulations|UN standard]] for the approval of internal combustion engines with regard to the measurement of the net power.<ref>{{cite web|url=http://live.unece.org/fileadmin/DAM/trans/main/wp29/wp29regs/r085e.pdf |title=ECE Regulation 85 |format=PDF |date= |accessdate=2011-07-18}}</ref>
ECE R85 is a [[UNECE Regulations|UN standard]] for the approval of internal combustion engines with regard to the measurement of the net power.<ref>{{cite web|url=http://live.unece.org/fileadmin/DAM/trans/main/wp29/wp29regs/r085e.pdf |title=ECE Regulation 85 |access-date=2011-07-18}}</ref>


===80/1269/EEC===
===80/1269/EEC===
[[Directive 80/1269/EEC|80/1269/EEC]] of 16 December 1980 is a European Union standard for road vehicle engine power.
[[Directive 80/1269/EEC|80/1269/EEC]] of 16 December 1980 is a European Union standard for road vehicle engine power.


==={{anchor|ISO}}[[International Organization for Standardization]]===
==={{anchor|ISO}}International Organization for Standardization===
The [[International Organization for Standardization]] (ISO) publishes several standards for measuring engine horsepower.
{{Primary sources|Section|date=April 2014}} {{Self-published|Section|date=April 2014}}
* [[ISO 14396]] specifies the additional and method requirement for determining the power of reciprocating internal combustion engines when presented for an [[ISO 8178]] exhaust emission test. It applies to reciprocating internal combustion engines for land, rail and marine use excluding engines of motor vehicles primarily designed for road use.<ref>{{cite web|url=http://www.iso.org/iso/catalogue_detail.htm?csnumber=32909 |title=ISO 14396:2002 - Reciprocating internal combustion engines - Determination and method for the measurement of engine power - Additional requirements for exhaust emission tests in accordance with ISO 8178 |publisher=Iso.org |date=2007-09-30 |accessdate=2011-07-18}}</ref>
* [[ISO 14396]] specifies the additional and method requirement for determining the power of reciprocating internal combustion engines when presented for an [[ISO 8178]] exhaust emission test. It applies to reciprocating internal combustion engines for land, rail and marine use excluding engines of motor vehicles primarily designed for road use.<ref>{{cite web|url=http://www.iso.org/iso/catalogue_detail.htm?csnumber=32909 |title=ISO 14396:2002 - Reciprocating internal combustion engines - Determination and method for the measurement of engine power - Additional requirements for exhaust emission tests in accordance with ISO 8178 |publisher=Iso.org |date=2007-09-30 |access-date=2011-07-18}}</ref>
* [[ISO 1585]] is an engine net power test code intended for road vehicles.<ref>{{cite web|url=http://www.iso.org/iso/catalogue_detail.htm?csnumber=6179 |title=ISO 1585:1992 - Road vehicles - Engine test code - Net power |publisher=Iso.org |date=1999-11-15 |accessdate=2011-07-18}}</ref>
* [[ISO 1585]] is an engine net power test code intended for road vehicles.<ref>{{cite web|url=http://www.iso.org/iso/catalogue_detail.htm?csnumber=6179 |title=ISO 1585:1992 - Road vehicles - Engine test code - Net power |publisher=Iso.org |date=1999-11-15 |access-date=2011-07-18}}</ref>
* [[ISO 2534]] is an engine gross power test code intended for road vehicles.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=7476 |title=ISO 2534:1998 - Road vehicles - Engine test code - Gross power |publisher=Iso.org |date=2009-03-31 |accessdate=2011-07-18}}</ref>
* [[ISO 2534]] is an engine gross power test code intended for road vehicles.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=7476 |title=ISO 2534:1998 - Road vehicles - Engine test code - Gross power |publisher=Iso.org |date=2009-03-31 |access-date=2011-07-18}}</ref>
* [[ISO 4164]] is an engine net power test code intended for mopeds.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=9932 |title=ISO 4164:1978 - Road vehicles - Mopeds - Engine test code - Net power |publisher=Iso.org |date=2009-10-07 |accessdate=2011-07-18}}</ref>
* [[ISO 4164]] is an engine net power test code intended for mopeds.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=9932 |title=ISO 4164:1978 - Road vehicles - Mopeds - Engine test code - Net power |publisher=Iso.org |date=2009-10-07 |access-date=2011-07-18}}</ref>
* [[ISO 4106]] is an engine net power test code intended for motorcycles.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=31406 |title=ISO 4106:2004 - Motorcycles - Engine test code - Net power |publisher=Iso.org |date=2009-06-26 |accessdate=2011-07-18}}</ref>
* [[ISO 4106]] is an engine net power test code intended for motorcycles.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=31406 |title=ISO 4106:2004 - Motorcycles - Engine test code - Net power |publisher=Iso.org |date=2009-06-26 |access-date=2011-07-18}}</ref>
* [[ISO 9249]] is an engine net power test code intended for earth moving machines.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=38008 |title=ISO 9249:2007 - Earth-moving machinery - Engine test code - Net power |publisher=Iso.org |date=2011-03-17 |accessdate=2011-07-18}}</ref>
* [[ISO 9249]] is an engine net power test code intended for earth moving machines.<ref>{{cite web|url=http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=38008 |title=ISO 9249:2007 - Earth-moving machinery - Engine test code - Net power |publisher=Iso.org |date=2011-03-17 |access-date=2011-07-18}}</ref>


===Japanese Industrial Standard D 1001===
==={{anchor|Japan|JIS}}Japanese Industrial Standard D 1001===
JIS D 1001 is a Japanese net, and gross, engine power test code for [[automobile]]s or [[truck]]s having a spark ignition, [[diesel engine]], or fuel injection engine.<ref>{{cite web|url=http://www.webstore.jsa.or.jp/webstore/Com/FlowControl.jsp?lang=en&bunsyoId=JIS+D+1001%3A1993&dantaiCd=JIS&status=1&pageNo=0 |title=JSA Web Store - JIS D 1001:1993 Road vehicles - Engine power test code |publisher=Webstore.jsa.or.jp |date= |accessdate=2011-07-18}}</ref>
JIS D 1001 is a Japanese net, and gross, engine power test code for [[automobile]]s or [[truck]]s having a spark ignition, [[diesel engine]], or fuel injection engine.<ref>{{cite web |url=http://www.webstore.jsa.or.jp/webstore/Com/FlowControl.jsp?lang=en&bunsyoId=JIS+D+1001%3A1993&dantaiCd=JIS&status=1&pageNo=0 |title=JSA Web Store - JIS D 1001:1993 Road vehicles - Engine power test code |publisher=Webstore.jsa.or.jp |access-date=2011-07-18 |archive-url=https://web.archive.org/web/20110722121539/http://www.webstore.jsa.or.jp/webstore/Com/FlowControl.jsp?lang=en&bunsyoId=JIS+D+1001:1993&dantaiCd=JIS&status=1&pageNo=0 |archive-date=2011-07-22 |url-status=dead }}</ref>


==See also==
==See also==
* [[Brake specific fuel consumption]]—how much fuel an engine consumes per unit energy output
* [[Brake-specific fuel consumption]] – how much fuel an engine consumes per unit energy output
* [[Dynamometer#How dynamometers are used for engine testing|Dynamometer engine testing]]
* [[Dynamometer#How dynamometers are used for engine testing|Dynamometer engine testing]]
* [[European units of measurement directives]]
* [[European units of measurement directives]]
* [[Mean effective pressure]]
* [[Horsepower-hour]]
* [[Horsepower-hour]]
* [[Mean effective pressure]]
* [[Torque]]
* [[Torque]]


Line 463: Line 412:


==External links==
==External links==
{{EB1911 Poster|Horse-power}}
{{EB1911 poster|Horse-power}}
* {{cite web |url=https://www.voltagelab.com/how-much-horsepower-does-a-horse-have/ |title=How Much Horsepower Does a Horse Have? |author=Md Nazmul Islam |work=Voltage Lab |date=2024-06-10}}
* [http://auto.howstuffworks.com/horsepower.htm How Stuff Works - Horsepower]
* {{cite AV media |url=https://www.youtube.com/watch?v=7qxTKtlvaVE |title=How Much Horsepower is a Horse? |via=YouTube |author=Donut |date=2023-11-24}}
* {{cite web |url=http://auto.howstuffworks.com/horsepower.htm |title=How Horsepower Works |website=How Stuff Works |first1=Marshall |last1=Brain |first2=Talon |last2=Homer |date=2024-05-23}}

{{Imperial units}}
{{United States Customary Units}}


[[Category:Imperial units]]
[[Category:Imperial units]]

Latest revision as of 20:33, 29 December 2024

Horsepower
One imperial horsepower lifts 550 pounds (250 kg) by 1 foot (30 cm) in 1 second.
General information
Unit ofpower
Symbolhp

Horsepower (hp) is a unit of measurement of power, or the rate at which work is done, usually in reference to the output of engines or motors. There are many different standards and types of horsepower. Two common definitions used today are the imperial horsepower as in "hp" or "bhp" which is about 745.7 watts, and the metric horsepower as in "cv" or "PS" which is approximately 735.5 watts.

The term was adopted in the late 18th century by Scottish engineer James Watt to compare the output of steam engines with the power of draft horses. It was later expanded to include the output power of other power-generating machinery such as piston engines, turbines, and electric motors.[1][2] The definition of the unit varied among geographical regions. Most countries now use the SI unit watt for measurement of power. With the implementation of the EU Directive 80/181/EEC on 1 January 2010,[3] the use of horsepower in the EU is permitted only as a supplementary unit.

History

[edit]
A team of six horses mowing hay in East Lampeter Township, Pennsylvania, U.S.

The development of the steam engine provided a reason to compare the output of horses with that of the engines that could replace them. In 1702, Thomas Savery wrote in The Miner's Friend:[4]

So that an engine which will raise as much water as two horses, working together at one time in such a work, can do, and for which there must be constantly kept ten or twelve horses for doing the same. Then I say, such an engine may be made large enough to do the work required in employing eight, ten, fifteen, or twenty horses to be constantly maintained and kept for doing such a work...

The idea was later used by James Watt to help market his improved steam engine. He had previously agreed to take royalties of one-third of the savings in coal from the older Newcomen steam engines.[5] This royalty scheme did not work with customers who did not have existing steam engines but used horses instead.

Watt determined that a horse could turn a mill wheel 144 times in an hour (or 2.4 times a minute).[6] The wheel was 12 feet (3.7 m) in radius; therefore, the horse travelled 2.4 × 2π × 12 feet in one minute. Watt judged that the horse could pull with a force of 180 pounds-force (800 N).[7] So:

Engineering in History recounts that John Smeaton initially estimated that a horse could produce 22,916 foot-pounds (31,070 J) per minute.[8] John Desaguliers had previously suggested 44,000 foot-pounds (59,656 J) per minute, and Thomas Tredgold suggested 27,500 foot-pounds (37,285 J) per minute. "Watt found by experiment in 1782 that a 'brewery horse' could produce 32,400 foot-pounds [43,929 J] per minute."[9] James Watt and Matthew Boulton standardized that figure at 33,000 foot-pounds (44,742 J) per minute the next year.[9]

A common legend states that the unit was created when one of Watt's first customers, a brewer, specifically demanded an engine that would match a horse, and chose the strongest horse he had and driving it to the limit. In that legend, Watt accepted the challenge and built a machine that was actually even stronger than the figure achieved by the brewer, and the output of that machine became the horsepower.[10]

In 1993, R. D. Stevenson and R. J. Wassersug published correspondence in Nature summarizing measurements and calculations of peak and sustained work rates of a horse.[11] Citing measurements made at the 1926 Iowa State Fair, they reported that the peak power over a few seconds has been measured to be as high as 14.88 hp (11.10 kW)[12] and also observed that for sustained activity, a work rate of about 1 hp (0.75 kW) per horse is consistent with agricultural advice from both the 19th and 20th centuries and also consistent with a work rate of about four times the basal rate expended by other vertebrates for sustained activity.[11]

When considering human-powered equipment, a healthy human can produce about 1.2 hp (0.89 kW) briefly (see orders of magnitude) and sustain about 0.1 hp (0.075 kW) indefinitely; trained athletes can manage up to about 2.5 hp (1.9 kW) briefly[13] and 0.35 hp (0.26 kW) for a period of several hours.[14] The Jamaican sprinter Usain Bolt produced a maximum of 3.5 hp (2.6 kW) 0.89 seconds into his 9.58 second 100-metre (109.4 yd) sprint world record in 2009.[15][failed verification]

In 2023 a group of engineers modified a dynometer to be able to measure how much horsepower a horse can produce. This horse was measured to 5.7 hp (4.3 kW).[16]

Calculating power

[edit]

When torque T is in pound-foot units, rotational speed N is in rpm, the resulting power in horsepower is

[17]

The constant 5252 is the rounded value of (33,000 ft⋅lbf/min)/(2π rad/rev).

When torque T is in inch-pounds,

The constant 63,025 is the approximation of

Definitions

[edit]

Imperial horsepower

[edit]

Assuming the third CGPM (1901, CR 70) definition of standard gravity, gn = 9.80665 m/s2, is used to define the pound-force as well as the kilogram force, and the international avoirdupois pound (1959), one imperial horsepower is:

1 hp ≡ 33,000 ft·lbf/min by definition
= 550 ft⋅lbf/s since 1 min = 60 s
= 550 × 0.3048 × 0.45359237 m⋅kgf/s since 1 ft ≡ 0.3048 m and 1 lb ≡ 0.45359237 kg
= 76.0402249068 kgf⋅m/s
= 76.0402249068 × 9.80665 kg⋅m2/s3 since g = 9.80665 m/s2
= 745.69987158227022 W ≈ 745.700 W since 1 W ≡ 1 J/s = 1 N⋅m/s = 1 (kg⋅m/s2)⋅(m/s)

Or given that 1 hp = 550 ft⋅lbf/s, 1 ft = 0.3048 m, 1 lbf ≈ 4.448 N, 1 J = 1 N⋅m, 1 W = 1 J/s: 1 hp ≈ 745.7 W

Metric horsepower (PS, KM, cv, hk, pk, k, ks, ch)

[edit]
One metric horsepower is needed to lift 75 kilograms by 1 metre in 1 second.

The various units used to indicate this definition (PS, KM, cv, hk, pk, k, ks and ch) all translate to horse power in English. British manufacturers often intermix metric horsepower and mechanical horsepower depending on the origin of the engine in question.[citation needed]

DIN 66036 defines one metric horsepower as the power to raise a mass of 75 kilograms against the Earth's gravitational force over a distance of one metre in one second:[18] 75 kg × 9.80665 m/s2 × 1 m / 1 s = 75 kgf⋅m/s = 1 PS. This is equivalent to 735.49875 W, or 98.6% of an imperial horsepower. In 1972, the PS was replaced by the kilowatt as the official power-measuring unit in EEC directives.[19]

Other names for the metric horsepower are the Italian cavallo vapore (cv), Dutch paardenkracht (pk), the French cheval-vapeur (ch), the Spanish caballo de vapor and Portuguese cavalo-vapor (cv), the Russian лошадиная сила (л. с.), the Swedish hästkraft (hk), the Finnish hevosvoima (hv), the Estonian hobujõud (hj), the Norwegian and Danish hestekraft (hk), the Hungarian lóerő (LE), the Czech koňská síla and Slovak konská sila (k or ks), the Serbo-Croatian konjska snaga (KS), the Bulgarian конска сила, the Macedonian коњска сила (KC), the Polish koń mechaniczny (KM) (lit.'mechanical horse'), Slovenian konjska moč (KM), the Ukrainian кінська сила (к. с.), the Romanian cal-putere (CP), and the German Pferdestärke (PS).

In the 19th century, revolutionary-era France had its own unit used to replace the cheval vapeur (horsepower); based on a 100 kgf⋅m/s standard, it was called the poncelet and was abbreviated p.

Tax horsepower

[edit]

Tax or fiscal horsepower is a non-linear rating of a motor vehicle for tax purposes.[20] Tax horsepower ratings were originally more or less directly related to the size of the engine; but as of 2000, many countries changed over to systems based on CO2 emissions, so are not directly comparable to older ratings.[citation needed] The Citroën 2CV is named for its French fiscal horsepower rating, "deux chevaux" (2CV).[citation needed]

Electrical horsepower

[edit]

Nameplates on electrical motors show their power output, not the power input (the power delivered at the shaft, not the power consumed to drive the motor). This power output is ordinarily stated in watts or kilowatts. In the United States, the power output is stated in horsepower which, for this purpose, is defined as exactly 746 watts. Wattage is calculated by multiplying voltage by amperage.[21]

Hydraulic horsepower

[edit]

Hydraulic horsepower can represent the power available within hydraulic machinery, power through the down-hole nozzle of a drilling rig,[22] or can be used to estimate the mechanical power needed to generate a known hydraulic flow rate.

It may be calculated as[22]

where pressure is in psi, and flow rate is in US gallons per minute.

Drilling rigs are powered mechanically by rotating the drill pipe from above. Hydraulic power is still needed though, as 1 500 to 5 000 W are required to push mud through the drill bit to clear waste rock. Additional hydraulic power may also be used to drive a down-hole mud motor to power directional drilling.[22]

When using SI units, the equation becomes coherent and there is no dividing constant.

where pressure is in pascals (Pa), and flow rate is in cubic metres per second (m3).

Boiler horsepower

[edit]

Boiler horsepower is a boiler's capacity to deliver steam to a steam engine and is not the same unit of power as the 550 ft lb/s definition. One boiler horsepower is equal to the thermal energy rate required to evaporate 34.5 pounds (15.6 kg) of fresh water at 212 °F (100 °C) in one hour. In the early days of steam use, the boiler horsepower was roughly comparable to the horsepower of engines fed by the boiler.[23]

The term "boiler horsepower" was originally developed at the Philadelphia Centennial Exhibition in 1876, where the best steam engines of that period were tested. The average steam consumption of those engines (per output horsepower) was determined to be the evaporation of 30 pounds (14 kg) of water per hour, based on feed water at 100 °F (38 °C), and saturated steam generated at 70 psi (480 kPa). This original definition is equivalent to a boiler heat output of 33,485 Btu/h (9.813 kW). A few years later in 1884, the ASME re-defined the boiler horsepower as the thermal output equal to the evaporation of 34.5 pounds per hour of water "from and at" 212 °F (100 °C). This considerably simplified boiler testing, and provided more accurate comparisons of the boilers at that time. This revised definition is equivalent to a boiler heat output of 33,469 Btu/h (9.809 kW). Present industrial practice is to define "boiler horsepower" as a boiler thermal output equal to 33,475 Btu/h (9.811 kW), which is very close to the original and revised definitions.

Boiler horsepower is still used to measure boiler output in industrial boiler engineering in the US. Boiler horsepower is abbreviated BHP, which is also used in many places to symbolize brake horsepower.

Drawbar power

[edit]

Drawbar power (dbp) is the power a railway locomotive has available to haul a train or an agricultural tractor to pull an implement. This is a measured figure rather than a calculated one. A special railway car called a dynamometer car coupled behind the locomotive keeps a continuous record of the drawbar pull exerted, and the speed. From these, the power generated can be calculated. To determine the maximum power available, a controllable load is required; it is normally a second locomotive with its brakes applied, in addition to a static load.

If the drawbar force (F) is measured in pounds-force (lbf) and speed (v) is measured in miles per hour (mph), then the drawbar power (P) in horsepower (hp) is

Example: How much power is needed to pull a drawbar load of 2,025 pounds-force at 5 miles per hour?

The constant 375 is because 1 hp = 375 lbf⋅mph. If other units are used, the constant is different. When using coherent SI units (watts, newtons, and metres per second), no constant is needed, and the formula becomes P = Fv.

This formula may also be used to calculate the power of a jet engine, using the speed of the jet and the thrust required to maintain that speed.

Example: how much power is generated with a thrust of 4000 pounds at 400 miles per hour?

RAC horsepower (taxable horsepower)

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This measure was instituted by the Royal Automobile Club and was used to denote the power of early 20th-century British cars. Many cars took their names from this figure (hence the Austin Seven and Riley Nine), while others had names such as "40/50 hp", which indicated the RAC figure followed by the true measured power.

Taxable horsepower does not reflect developed horsepower; rather, it is a calculated figure based on the engine's bore size, number of cylinders, and a (now archaic) presumption of engine efficiency. As new engines were designed with ever-increasing efficiency, it was no longer a useful measure, but was kept in use by UK regulations, which used the rating for tax purposes. The United Kingdom was not the only country that used the RAC rating; many states in Australia used RAC hp to determine taxation.[24][25] The RAC formula was sometimes applied in British colonies as well, such as Kenya (British East Africa).[26]

where

D is the diameter (or bore) of the cylinder in inches,
n is the number of cylinders.[27]

Since taxable horsepower was computed based on bore and number of cylinders, not based on actual displacement, it gave rise to engines with "undersquare" dimensions (bore smaller than stroke), which tended to impose an artificially low limit on rotational speed, hampering the potential power output and efficiency of the engine.

The situation persisted for several generations of four- and six-cylinder British engines: For example, Jaguar's 3.4-litre XK engine of the 1950s had six cylinders with a bore of 83 mm (3.27 in) and a stroke of 106 mm (4.17 in),[28] where most American automakers had long since moved to oversquare (large bore, short stroke) V8 engines. See, for example, the early Chrysler Hemi engine.

Measurement

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The power of an engine may be measured or estimated at several points in the transmission of the power from its generation to its application. A number of names are used for the power developed at various stages in this process, but none is a clear indicator of either the measurement system or definition used.

In general:

nominal horsepower is derived from the size of the engine and the piston speed and is only accurate at a steam pressure of 48 kPa (7 psi);[29]
indicated or gross horsepower is the theoretical capability of the engine [PLAN/ 33000];
brake/net/crankshaft horsepower (power delivered directly to and measured at the engine's crankshaft) equals
indicated horsepower minus frictional losses within the engine (bearing drag, rod and crankshaft windage losses, oil film drag, etc.);
shaft horsepower (power delivered to and measured at the output shaft of the transmission, when present in the system) equals
crankshaft horsepower minus frictional losses in the transmission (bearings, gears, oil drag, windage, etc.);
effective or true (thp), commonly referred to as wheel horsepower (whp), equals
shaft horsepower minus frictional losses in the universal joint/s, differential, wheel bearings, tire and chain, (if present).

All the above assumes that no power inflation factors have been applied to any of the readings.

Engine designers use expressions other than horsepower to denote objective targets or performance, such as brake mean effective pressure (BMEP). This is a coefficient of theoretical brake horsepower and cylinder pressures during combustion.

Nominal horsepower

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Nominal horsepower (nhp) is an early 19th-century rule of thumb used to estimate the power of steam engines.[29] It assumed a steam pressure of 7 psi (48 kPa).[30]

Nominal horsepower = 7 × area of piston in square inches × equivalent piston speed in feet per minute/33,000.

For paddle ships, the Admiralty rule was that the piston speed in feet per minute was taken as 129.7 × (stroke)1/3.38.[29][30] For screw steamers, the intended piston speed was used.[30]

The stroke (or length of stroke) was the distance moved by the piston measured in feet.

For the nominal horsepower to equal the actual power it would be necessary for the mean steam pressure in the cylinder during the stroke to be 7 psi (48 kPa) and for the piston speed to be that generated by the assumed relationship for paddle ships.[29]

The French Navy used the same definition of nominal horse power as the Royal Navy.[29]

Comparison of nominal and indicated horse power
Ship Indicated horse power (ihp) Nominal horse power (nhp) Ratio of ihp to nhp Source
Dee 272 200 1.36 [29]
Locust 157 100 1.57 [29]
Rhadamanthus 400 220 1.82 [29]
Albacore 109 60 1.82 [30]
Porcupine 285 132 2.16 [29]
Harpy 520 200 2.60 [29]
Spitfire 380 140 2.70 [29]
Spiteful 796 280 2.85 [30]
Jackal 455 150 3.03 [29]
Supply 265 80 3.31 [30]
Simoom 1,576 400 3.94 [30]
Hector 3,256 800 4.07 [30]
Agincourt 6,867 1,350 5.08 [30]
Bellerophon 6,521 1,000 6.52 [30]
Monarch 7,842 1,100 7.13 [30]
Penelope 4,703 600 7.84 [30]

Indicated horsepower

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Indicated horsepower (ihp) is the theoretical power of a reciprocating engine if it is completely frictionless in converting the expanding gas energy (piston pressure × displacement) in the cylinders. It is calculated from the pressures developed in the cylinders, measured by a device called an engine indicator – hence indicated horsepower. As the piston advances throughout its stroke, the pressure against the piston generally decreases, and the indicator device usually generates a graph of pressure vs stroke within the working cylinder. From this graph the amount of work performed during the piston stroke may be calculated.

Indicated horsepower was a better measure of engine power than nominal horsepower (nhp) because it took account of steam pressure. But unlike later measures such as shaft horsepower (shp) and brake horsepower (bhp), it did not take into account power losses due to the machinery internal frictional losses, such as a piston sliding within the cylinder, plus bearing friction, transmission and gear box friction, etc.

Brake horsepower

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Brake horsepower (bhp) is the power measured using a brake type (load) dynamometer at a specified location, such as the crankshaft, output shaft of the transmission, rear axle or rear wheels.[31]

In Europe, the DIN 70020 standard tests the engine fitted with all ancillaries and the exhaust system as used in the car. The older American standard (SAE gross horsepower, referred to as bhp) used an engine without alternator, water pump, and other auxiliary components such as power steering pump, muffled exhaust system, etc., so the figures were higher than the European figures for the same engine. The newer American standard (referred to as SAE net horsepower) tests an engine with all the auxiliary components (see "Engine power test standards" below).[citation needed]

Brake refers to the device which is used to provide an equal braking force, load to balance, or equal an engine's output force and hold it at a desired rotational speed. During testing, the output torque and rotational speed are measured to determine the brake horsepower. Horsepower was originally measured and calculated by use of the "indicator diagram" (a James Watt invention of the late 18th century), and later by means of a Prony brake connected to the engine's output shaft. Modern dynamometers use any of several braking methods to measure the engine's brake horsepower, the actual output of the engine itself, before losses to the drivetrain.[citation needed]

Shaft horsepower

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Shaft horsepower (shp) is the power delivered to a propeller or turbine shaft.[32] Shaft horsepower is a common rating for turboshaft and turboprop engines, industrial turbines, and some marine applications.

Equivalent shaft horsepower (eshp) is sometimes used to rate turboprop engines. It includes the equivalent power derived from residual jet thrust from the turbine exhaust.[33] 2.5 pounds-force (11 N) of residual jet thrust is estimated to be produced from one unit of horsepower.[34]

Engine power test standards

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There exist a number of different standards determining how the power and torque of an automobile engine is measured and corrected. Correction factors are used to adjust power and torque measurements to standard atmospheric conditions, to provide a more accurate comparison between engines as they are affected by the pressure, humidity, and temperature of ambient air.[35] Some standards are described below.

Society of Automotive Engineers/SAE International

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Early "SAE horsepower"

[edit]

In the early twentieth century, a so-called "SAE horsepower" was sometimes quoted for U.S. automobiles. This long predates the Society of Automotive Engineers (SAE) horsepower measurement standards and was another name for the industry standard ALAM or NACC horsepower figure and the same as the British RAC horsepower also used for tax purposes. Alliance for Automotive Innovation is the current successor of ALAM and NACC.

SAE gross power

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Prior to the 1972 model year, American automakers rated and advertised their engines in brake horsepower, bhp, which was a version of brake horsepower called SAE gross horsepower because it was measured according to Society of Automotive Engineers (SAE) standards (J245 and J1995) that call for a stock test engine without accessories (such as dynamo/alternator, radiator fan, water pump),[36] and sometimes fitted with long tube test headers in lieu of the OEM exhaust manifolds. This contrasts with both SAE net power and DIN 70020 standards, which account for engine accessories (but not transmission losses). The atmospheric correction standards for barometric pressure, humidity and temperature for SAE gross power testing were relatively idealistic.

SAE net power

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In the United States, the term bhp fell into disuse in 1971–1972, as automakers began to quote power in terms of SAE net horsepower in accord with SAE standard J1349. Like SAE gross and other brake horsepower protocols, SAE net hp is measured at the engine's crankshaft, and so does not account for transmission losses. However, similar to the DIN 70020 standard, SAE net power testing protocol calls for standard production-type belt-driven accessories, air cleaner, emission controls, exhaust system, and other power-consuming accessories. This produces ratings in closer alignment with the power produced by the engine as it is actually configured and sold.

SAE certified power

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In 2005, the SAE introduced "SAE Certified Power" with SAE J2723.[37] To attain certification the test must follow the SAE standard in question, take place in an ISO 9000/9002 certified facility and be witnessed by an SAE approved third party.

A few manufacturers such as Honda and Toyota switched to the new ratings immediately.[38] The rating for Toyota's Camry 3.0 L 1MZ-FE V6 fell from 210 to 190 hp (160 to 140 kW).[38] The company's Lexus ES 330 and Camry SE V6 (3.3 L V6) were previously rated at 225 hp (168 kW) but the ES 330 dropped to 218 hp (163 kW) while the Camry declined to 210 hp (160 kW). The first engine certified under the new program was the 7.0 L LS7 used in the 2006 Chevrolet Corvette Z06. Certified power rose slightly from 500 to 505 hp (373 to 377 kW).

While Toyota and Honda are retesting their entire vehicle lineups, other automakers generally are retesting only those with updated powertrains.[38] For example, the 2006 Ford Five Hundred is rated at 203 horsepower (151 kW), the same as that of 2005 model. However, the 2006 rating does not reflect the new SAE testing procedure, as Ford did not opt to incur the extra expense of retesting its existing engines.[38] Over time, most automakers are expected to comply with the new guidelines.

SAE tightened its horsepower rules to eliminate the opportunity for engine manufacturers to manipulate factors affecting performance such as how much oil was in the crankcase, engine control system calibration, and whether an engine was tested with high octane fuel. In some cases, such can add up to a change in horsepower ratings.

Deutsches Institut für Normung 70020 (DIN 70020)

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DIN 70020 is a German DIN standard for measuring road vehicle horsepower. DIN hp is measured at the engine's output shaft as a form of metric horsepower rather than mechanical horsepower. Similar to SAE net power rating, and unlike SAE gross power, DIN testing measures the engine as installed in the vehicle, with cooling system, charging system and stock exhaust system all connected. DIN hp is often abbreviated as "PS", derived from the German word Pferdestärke (literally, "horsepower").

CUNA

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A test standard by Italian CUNA (Commissione Tecnica per l'Unificazione nell'Automobile, Technical Commission for Automobile Unification), a federated entity of standards organisation UNI, was formerly used in Italy. CUNA prescribed that the engine be tested with all accessories necessary to its running fitted (such as the water pump), while all others – such as alternator/dynamo, radiator fan, and exhaust manifold – could be omitted.[36] All calibration and accessories had to be as on production engines.[36]

Economic Commission for Europe R24

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ECE R24 is a UN standard for the approval of compression ignition engine emissions, installation and measurement of engine power.[39] It is similar to DIN 70020 standard, but with different requirements for connecting an engine's fan during testing causing it to absorb less power from the engine.[40]

Economic Commission for Europe R85

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ECE R85 is a UN standard for the approval of internal combustion engines with regard to the measurement of the net power.[41]

80/1269/EEC

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80/1269/EEC of 16 December 1980 is a European Union standard for road vehicle engine power.

International Organization for Standardization

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The International Organization for Standardization (ISO) publishes several standards for measuring engine horsepower.

  • ISO 14396 specifies the additional and method requirement for determining the power of reciprocating internal combustion engines when presented for an ISO 8178 exhaust emission test. It applies to reciprocating internal combustion engines for land, rail and marine use excluding engines of motor vehicles primarily designed for road use.[42]
  • ISO 1585 is an engine net power test code intended for road vehicles.[43]
  • ISO 2534 is an engine gross power test code intended for road vehicles.[44]
  • ISO 4164 is an engine net power test code intended for mopeds.[45]
  • ISO 4106 is an engine net power test code intended for motorcycles.[46]
  • ISO 9249 is an engine net power test code intended for earth moving machines.[47]

Japanese Industrial Standard D 1001

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JIS D 1001 is a Japanese net, and gross, engine power test code for automobiles or trucks having a spark ignition, diesel engine, or fuel injection engine.[48]

See also

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References

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  1. ^ "Horsepower". Encyclopædia Britannica Online. Retrieved 24 June 2012.
  2. ^ "International System of Units (SI)". Encyclopædia Britannica Online. Retrieved 24 June 2012.
  3. ^ "Directive 2009/3/EC of the European Parliament and of the Council of 11 March 2009". Official Journal of the European Union. 7 May 2009.
  4. ^ "The Miner's Friend". University of Rochester History Department. Archived from the original on 11 May 2009. Retrieved 21 July 2011.
  5. ^ "Math Words — horsepower". pballew.net. Archived from the original on 20 September 2018. Retrieved 11 August 2007.
  6. ^ Hart-Davis, Adam (2012). Engineers. Dorling Kindersley. p. 121.
  7. ^ Dickenson, H. W. (2010). James Watt: Craftsman and Engineer. Cambridge University Press. p. 145. ISBN 9781108012232. ... based his calculations on data supplied to him to the effect that a mill horse walks, in a path of 24 ft. diameter, ⁠2+1/2 turns in a minute. Watt assumed that the mill horse exerted a pull of 180 lb.—we do not know where he got this figure—and found that it exerts 32,400 lb. per minute. By the following year he has rounded off the figure to 33,000, doubtless for ease in calculation.
  8. ^ Kirby, Richard Shelton (August 1, 1990). Engineering in History. Dover Publications. p. 171.
  9. ^ a b Kirby, Richard Shelton (1 August 1990). Engineering in History. Dover Publications. p. 171. ISBN 0-486-26412-2. Retrieved 13 June 2018.
  10. ^ "Motorcycle equipped with wireless". Popular Mechanics. September 1912. p. 394.
  11. ^ a b Stevenson, R. D.; Wassersug, R. J. (1993). "Horsepower from a horse". Nature. 364 (6434): 195. Bibcode:1993Natur.364..195S. doi:10.1038/364195a0. PMID 8321316. S2CID 23314938.
  12. ^ Collins, E. V.; Caine, A. B. (1926). "Testing Draft Horses". Iowa Agricultural Experiment Station Bulletin. 240: 193–223. Archived from the original on 7 June 2020. Retrieved 6 September 2021.
  13. ^ Eugene A. Avallone et al., (ed), Marks' Standard Handbook for Mechanical Engineers 11th Edition , Mc-Graw Hill, New York 2007, ISBN 0-07-142867-4, page 9-4.
  14. ^ Ebert, T. R. (December 2006). "Power output during a professional men's road-cycling tour". International Journal of Sports Physiology and Performance. 1 (4): 324–325. doi:10.1123/ijspp.1.4.324. PMID 19124890. S2CID 13301088.
  15. ^ "Scientists Model "Extraordinary" Performance of Bolt". Institute of Physics. 26 July 2013. Archived from the original on 9 March 2016. Retrieved 15 December 2023.
  16. ^ How Much Horsepower is a Horse?. Donut. 24 November 2023. Retrieved 30 November 2023 – via YouTube.
  17. ^ Croft, Terrell; Summers, Wilford (1987). American Electrician's Handbook (Eleventh ed.). McGraw Hill. pp. 7–175. ISBN 0-07-013932-6.
  18. ^ "Die gesetzlichen Einheiten in Deutschland" [List of units of measure in Germany] (PDF) (in German). Physikalisch-Technische Bundesanstalt (PTB). p. 6. Retrieved 13 November 2012.
  19. ^ "Council Directive 71/354/EEC: On the approximation of the laws of the Member States relating to units of measurement". The Council of the European Communities. 18 October 1971. Archived from the original on 6 March 2021.
  20. ^ "Measurements, Units of Measurement, Weights and Measures". numericana.com. Retrieved 18 July 2011.
  21. ^ Beatty, H. Wayne (2001). Handbook of Electric Power Calculations (Third ed.). McGraw Hill. pp. 6–14. ISBN 0-07-136298-3.
  22. ^ a b c "Hydraulic Horsepower". Oilfield Glossary. Schlumberger.
  23. ^ McCain Johnston, Robert (1992), Elements of Applied Thermodynamics, Naval Institute Press, p. 503, ISBN 1557502269
  24. ^ Carver, S.R. (1958), Official Year Book of the Commonwealth of Australia, vol. 44, Canberra: Commonwealth Bureau of Census and Statistics, p. 409
  25. ^ Haynes, C.E. (1923), "Motor-Vehicle Taxation and Regulations in Foreign Countries", The Balance of International Payments of the United States in 1922-, vol. Trade Information Bulletin no. 463, Bureau of Foreign and Domestic Commerce, pp. 39–42
  26. ^ Haynes, p. 43
  27. ^ Hodgson, Richard. "The RAC HP (horsepower) Rating - Was there any technical basis?". WolfHound.org.uk. Retrieved 11 August 2007.
  28. ^ Mooney, Dan. "The XK engine by Roger Bywater". ClassicJaguar.com. Archived from the original on 23 February 2010. Retrieved 13 March 2010.
  29. ^ a b c d e f g h i j k l Brown, David K (1990), Before the ironclad, Conway, p. 188, ISBN 0851775322
  30. ^ a b c d e f g h i j k l White, William Henry (1882), A Manual of Naval Architecture (2 ed.), John Murray, p. 520
  31. ^ "What is Brake Horsepower (BHP)?". ScienceStruck.com. June 2009. Retrieved 26 September 2022.
  32. ^ Oxford Dictionary. Retrieved 2016-12-06. Dictionary.com Unabridged, Random House Inc. Retrieved 2016-12-06.
  33. ^ "equivalent shaft horsepower". aviation_dictionary.enacademic.com. Archived from the original on 17 January 2018. Retrieved 17 January 2018.
  34. ^ Department of the Air Force (30 November 1961). Aircraft performance: Reciprocating and turboprop engine aircraft. pp. 7–36.
  35. ^ Heywood, J.B. "Internal Combustion Engine Fundamentals", ISBN 0-07-100499-8, page 54
  36. ^ a b c Lucchesi, Domenico (2004). Corso di tecnica automobilistica, vol. 1o—Il motore (in Italian) (6th ed.). Ulrico Hoepli Editore S.p.A. p. 550. ISBN 88-203-1493-2.
  37. ^ "Certified Power - SAE J1349 Certified Power SAE International". Sae.org. Archived from the original on 28 July 2011. Retrieved 18 July 2011.
  38. ^ a b c d Jeff Plungis, Asians Oversell Horsepower, Detroit News
  39. ^ "Text of the 1958 Agreement, ECE Regulation 24, Revision 2, Annex 10" (PDF). www.unece.org.
  40. ^ Breen, Jim (22 March 2003). "Tractor and machine comparison: what's the 'true' measure". Irish Farmers Journal. Archived from the original on 6 April 2003.
  41. ^ "ECE Regulation 85" (PDF). Retrieved 18 July 2011.
  42. ^ "ISO 14396:2002 - Reciprocating internal combustion engines - Determination and method for the measurement of engine power - Additional requirements for exhaust emission tests in accordance with ISO 8178". Iso.org. 30 September 2007. Retrieved 18 July 2011.
  43. ^ "ISO 1585:1992 - Road vehicles - Engine test code - Net power". Iso.org. 15 November 1999. Retrieved 18 July 2011.
  44. ^ "ISO 2534:1998 - Road vehicles - Engine test code - Gross power". Iso.org. 31 March 2009. Retrieved 18 July 2011.
  45. ^ "ISO 4164:1978 - Road vehicles - Mopeds - Engine test code - Net power". Iso.org. 7 October 2009. Retrieved 18 July 2011.
  46. ^ "ISO 4106:2004 - Motorcycles - Engine test code - Net power". Iso.org. 26 June 2009. Retrieved 18 July 2011.
  47. ^ "ISO 9249:2007 - Earth-moving machinery - Engine test code - Net power". Iso.org. 17 March 2011. Retrieved 18 July 2011.
  48. ^ "JSA Web Store - JIS D 1001:1993 Road vehicles - Engine power test code". Webstore.jsa.or.jp. Archived from the original on 22 July 2011. Retrieved 18 July 2011.
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