Power from Force and Velocity (P = Fv)

P = F v

P =

F =

v =

Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!

Learning zone

Divide work by time in W = Fd and the d/t becomes velocity: P = Fv. It tells you the engine power a car needs to hold highway speed — if drag and rolling resistance total 600 N at 30 m/s, the engine must deliver 18 kW just to maintain speed, before any acceleration.

Power from Force and Velocity (P = Fv)

P = F v

Where

$P$ = Power
$F$ = Force
$v$ = Velocity

Missing one of these? Work it out first, then come back

Power — Power (P = W/t), Rotational Power (P = τω)
Force — Newton's Second Law, Work (W = Fd cos θ)
Velocity — Linear Momentum (p = mv), Water Hammer Surge (Joukowsky Equation)

Part of this formula set

Work, energy and power

8 formulasWork, the two stores of mechanical energy, the theorem that connects them to speed, and the two ways of writing power.