# Hydraulic Power

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

## Hydraulic Power formula

 $$\large{ P_h = \dot m_f \; g \; h }$$ $$\large{ P_h = \rho_w \; Q \; g \; h }$$

### Where:

 Units English Metric $$\large{ P_h }$$ = hydraulic power $$\large{\frac{lbm-ft^2}{sec}}$$ $$\large{\frac{kg-m^2}{s}}$$ $$\large{ g }$$ = gravitational acceleration $$\large{\frac{ft}{sec^2}}$$ $$\large{\frac{m}{s^2}}$$ $$\large{ h }$$ = hydraulic head $$\large{in}$$ $$\large{m}$$ $$\large{ \rho_w }$$   (Greek symbol rho) = water density by temperature $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$\large{ \dot m_f }$$ = water mass flow rate $$\large{\frac{lbm}{sec}}$$ $$\large{\frac{kg}{s}}$$ $$\large{ Q }$$ = water volumetric flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$