PhysRefPhysics reference
Mechanics
P=Wt=FvP = \frac{W}{t} = Fv

Power is the rate at which work is done.

Variables

P
Power
Rate of energy transfer
W
W
Work
Energy transferred
J
t
Time
Time interval
s
F
Force
Applied force
N
v
Velocity
Speed
m/s

Derivation

P = dW/dt = F(dx/dt) = Fv.

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Common questions

What is the Power formula?

Power is written P = W/t = Fv. Power is the rate at which work is done. It belongs to Mechanics, under Work & Energy.

What are the units in P = W/t = Fv?

In SI units, P is power, measured in kg·m²/s³; W is work, measured in kg·m²/s²; t is time, measured in s; F is force, measured in kg·m/s²; v is velocity, measured in m/s.

How is the Power formula derived?

P = dW/dt = F(dx/dt) = Fv. The result is P = W/t = Fv.