Power

P=Wt=FvP=\dfrac{W}{t}=Fv

Result unit: W (watt)

What it describes

The rate of doing work — the work done per unit of time.

Symbols

PP
power
[W]
WW
work
[J]
tt
time
[s]
FF
force
[N]
vv
speed
[m/s]

Where it comes from

Power tells you how fast work is being done — the same work done in a shorter time means greater power. For a constant force, P=FvP=Fv.

When to use it

Comparing the rate at which work is done (engines, devices). 1 hp ≈ 735 W.

Example

A motor does 6000 J of work in 3 s. Find its power.
SubstitutionW=6000W=6000 J, t=3t=3 s.
ResultP=60003=2000P=\dfrac{6000}{3}=2000 W =2=2 kW.

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