Amps to Horsepower

on . Posted in Electrical Engineering

Amps (amperes) and horsepower measure different things, but they can be related in the context of electric motors.

Amps (A)  -  Measures electrical current.
Horsepower (HP)  -  Measures mechanical power output.

Amps to Horsepower Formula

\( HP \;=\; \dfrac{  I \cdot V \cdot \eta \cdot PF }{ 746 }\)     (Amps to Horsepower)

\( I \;=\; \dfrac{  HP \cdot 746 }{  V \cdot \eta \cdot PF }\)

\( V \;=\; \dfrac{  HP \cdot 746 }{  I \cdot \eta \cdot PF }\)

\( \eta \;=\; \dfrac{   HP \cdot 746 }{  I \cdot V \cdot PF }\)

\( PF \;=\; \dfrac{  HP \cdot 746 }{ I \cdot V \cdot \eta  }\)

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 \(\large{\frac{ V \; I \; \%\eta }{ 746 } }\) \(\large{\frac{ V \; I \; \%\eta \; PF }{ 746 } }\) \(\large{\frac{ V \; I \; \%\eta \; PF \; 2 }{ 746 } }\) \(\large{\frac{ V \; I \; \%\eta \; PF \; 1.73 }{ 746 } }\) 

   

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Tags: Horsepower