# Power

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Power, abbreviated as P or PWR, is the rate of doing work or the rate of using energy per unit time.

## Power formula

 $$\large{ P = \frac{W}{t} }$$ $$\large{ P = F \; v }$$ $$\large{ P = \frac{F \; d}{t} }$$ $$\large{ P = \Delta p \; Q }$$ $$\large{ P = \gamma \; h_l \; Q }$$ $$\large{ P = \frac{E}{t} }$$ $$\large{ P = I^2 \; R }$$

### Where:

 Units English Metric $$\large{ P }$$ = power $$\large{W}$$ $$\large{\frac{kg-m^2}{s^3}}$$ $$\large{ I }$$ = current $$\large{I}$$ $$\large{\frac{C}{s}}$$ $$\large{ d }$$ = displacement $$\large{ft}$$ $$\large{m}$$ $$\large{ E }$$ = energy $$\large{lbf-ft}$$ $$\large{J}$$ $$\large{ F }$$ = force $$\large{lbf}$$ $$\large{N}$$ $$\large{ h_l }$$ = head loss $$\large{ft}$$ $$\large{m}$$ $$\large{ \Delta p }$$ = pressure drop $$\large{\frac{lbf}{in^2}}$$ $$\large{Pa}$$ $$\large{ R }$$ = resistance $$\large{\Omega}$$ $$\large{\frac{kg-m^2}{s^3-A^2}}$$ $$\large{ \gamma }$$  (Greek symbol gamma) = specific weight $$\large{\frac{lbf}{ft^3}}$$ $$\large{\frac{N}{m^3}}$$ $$\large{ t }$$ = time $$\large{sec}$$ $$\large{s}$$ $$\large{ v }$$ = velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{s}}$$ $$\large{ Q }$$ = volumetric flow rate $$\large{\frac{ft^3}{sec}}$$ $$\large{\frac{m^3}{s}}$$ $$\large{ W }$$ = work $$\large{lbf-ft}$$ $$\large{J}$$

Tags: Equations for Power