Physics
Basic

Power from Work

Rate of doing work.

Formula

P=WtP = \frac{W}{t}

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Variables

WWork
tTime

Example

1000 J in 2 s = 500 W

How it works

Power tells you how quickly work is being done. If the same amount of work is done in less time, the power is larger because the energy is transferred or used more rapidly. This formula comes from dividing the amount of work by the time taken, so its unit is the watt (W), which means one joule per second.

When to use it

Use this when you know how much work or energy was transferred and how long it took. It is common in mechanics, machines, engines, and any problem involving energy use over time.

Worked example, step by step

A motor does 2400 J of work in 8 s. P = W / t P = 2400 / 8 P = 300 W Final answer: 300 W

Common mistakes to avoid

  • Using the wrong time unit instead of seconds
  • Forgetting that power is work divided by time, not multiplied by time
  • Mixing up work with force or energy without checking the units

Did You Know?

One horsepower was defined by James Watt from how much a real horse could lift, to help sell his steam engines.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026