Horsepower

Horsepower, abbreviated as HP, is a measure of power or the rate of doing work.  It is typically used to describe the work of an engine or machine and is the equivalent of moving 33,000 pounds through the distance of one foot in one minute.  In the context of engines, horsepower is used to measure the power output of an engine.  It is calculated by measuring the torque (rotational force) produced by the engine and multiplying it by the engine's rotational speed.

Horsepower is commonly used to compare the performance of different engines and vehicles.  A higher horsepower rating generally indicates a more powerful engine, which can result in better acceleration, higher top speed, and greater towing or hauling capacity.  However, horsepower alone does not tell the whole story of an engine's performance, as factors such as torque, fuel efficiency, and emissions must also be considered.

 

Horsepower formula
\( HP =  F \; d \;/\; t \)     (Horsepower) \( F =  HP \; t \;/\; d \) \( d =  HP \; t \;/\; F \) \( t =  F \; d \;/\; HP \)
Symbol	English	Metric
\( HP \) = horsepower	\(lbf-ft\;/\;sec\)	\(J\;/\;s\)
\( F \) = force	\(lbf\)	\(kg-m^2\;/\;s^2\)
\( d \) = distance	\(ft\)	\(m\)
\( t \) = time	\(sec\)	\(s\)

    

Amps to Horsepower formula
\( HP =  I \; V \; \eta \; PF \;/\; 746 \)     (Amps to Horsepower) \( I =  HP \; 746 \;/\;  V \; \eta \; PF \) \( V =  HP \; 746 \;/\;  I \; \eta \; PF \) \( \eta =  HP \; 746 \;/\;  I \; V \; PF \) \( PF =  HP \; 746 \;/\; I \; V \; \eta  \)
Symbol	English	Metric
\( HP \) = horsepower	\(lbf-ft\;/\;sec\)	\(C\;/\;s\)
\( I \) = amps	\(I\)	\(kg-m^2\;/\;s^2\)
\( V \) = voltage	\(V\)	\(kg-m^2 \;/\; s^3-A\)
\( \eta \) (Greek symbol eta) = efficiency	\(dimensionless\)	\(dimensionless\)
\( PF \) = power factor	\(dimensionless\)	\(dimensionless\)

    

Motor Horsepower Formulas \(V\) = Voltage  -  \(I\) = Amps  -  \(PF\) = Power Factor  -  \(\eta\) = Efficiency  -  \(HP\) = Horsepower
To Find	Direct Current	Alternating Current
		Single Phase	Two Phase Four Wire	Three Phase
Horsepower	\(\large{\frac{ V \; I \; \%\eta }{ 746 } }\)	\(\large{\frac{ V \; I \; \%\eta \; PF }{ 746 } }\)	\(\large{\frac{ V \; I \; \%\eta \; PF \; 2 }{ 746 } }\)	\(\large{\frac{ V \; I \; \%\eta \; PF \; 1.73 }{ 746 } }\)

   

horsepower conversion Factor

1 boiler horsepower = 9,809.5 W 1 horsepower = 745.699872 or 746 W 1 horsepower = 0.746 kW 1 Metric horsepower = 735.49875 W 1 horsepower = 33,000 lb-ft/min 1 horsepower = 550 lb-ft/s 1 horsepower = 2544.434187 or 2545 BTU 1 horsepower = 3960 gal/min/foot 1.341 horsepower = 1 kW 1 cu-ft/sec = 448 GPM 1 PSI = a head of 2.309 ft (water weight)

• 1 horsepower = 5252 RPM  -  When charting torque and horsepower, the math always cross at 5252 RPM. 

  

horsepower conversion
Multiply	By	To Get
	2545.45766	BTU per hour, BTU/hr
	42.42429433	BTU per minute, BTU/min
	0.707071572	BTU per second, BTU/sec
	1980796.979	foot pound-force per hour
	33013.28298	foot pound-force per minute
	550.221383	foot pound-force per second
	1	horsepower, hp
	17702.8489	pound square foot per cubic second
	0.212121472	ton of refrigeration, ton
	2.6856E+13	dyne centimeter per hour
	4.476E+11	dyne centimeter per minute
	7460000000	dyne centimeter per second
	2685600	joule per hour
	44760	joule per minute
	746	joule per second
	746	watt, W
	0.746	kilowatt, kW
	0.000746	megawatt, MW
	0.000000746	gigawatt, GW
	2685600	newton meter per hour
	44760	newton meter per minute
	746	newton meter per second