Rotating Horsepower

on . Posted in Fluid Dynamics

Rotation horsepower, abbreviated as \(HP_r\), is converting the objects horsepower into rotational motion.  It is a unit of power that is used to describe the power output of rotating machinery, such as engines, turbines, and motors.  It is a measure of the amount of power required to rotate a shaft or other rotating component at a given speed.  The unit of rotating horsepower is often used in the context of the design and operation of rotating machinery, as well as in the evaluation of its efficiency and performance.  One rotating horsepower is equivalent to 745.7 watts.

Rotating Horsepower formula

\( HP_r \;=\; \dfrac{ \tau \cdot s }{ 5252 }\)     (Rotating Horsepower)

\( \tau \;=\; \dfrac{ HP_r \cdot 5252 }{ s }\)

\( s \;=\; \dfrac{ HP_r \cdot 5252 }{ \tau }\)

Symbol English Metric
\( HP_r \) = Rotating Horsepower \(lbf-ft\;/\;sec\) -
\( \tau \)  (Greek symbol tau) = Torque \(lbf-ft\) -
\(s\) = Rotation Shaft Speed, RPM \(ft\;/\;sec\) -

   

Rotating Horsepower formula

\( RHP \;=\; \tau \cdot \dfrac{s }{ 33,000} \cdot 2 \cdot \pi \)     (Rotating Horsepower)

\( \tau \;=\;  \dfrac{ RHP \cdot 33,000 }{ 2\pi \cdot s }\)

\( s \;=\;  \dfrac{ RHP \cdot 33,000 }{ \tau \cdot 2\pi }\)

Symbol English Metric
\( HP_r \) = Rotating Horsepower \(lbf-ft\;/\;sec\) -
\( \tau \)  (Greek symbol tau) = Torque \(lbf-ft\) -
\(s\) = Rotational Shaft Speed, RPM \(ft\;/\;sec\) -
\( \pi \) = Pi \(3.141 592 653 ...\) -

 

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Tags: Torque Horsepower