Work and power calculator

Work done by a force over a distance, the power for a given time, and horsepower.

N
m
s
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Formula

W = F × d P = W ÷ t

How it works

Work is force times the distance moved in the direction of the force: W = F × d. Power is the rate of doing work: P = W ÷ t. One mechanical horsepower is about 745.7 W.

Worked example

The same calculation with the default values:

  • Force 250 N
  • Distance moved along the force 12 m
  • Time taken 8 s
  1. W = 250 × 12 = 3,000 J
  2. P = 3,000 ÷ 8 = 375 W
  3. 375 W ÷ 745.69987 = 0.502883 hp

Result: Work done: 3,000 J · Power: 375 W · Power (mechanical horsepower): 0.50288328 hp

Assumes the force is constant and acts in a fixed direction relative to the motion - a varying force or a curved path requires integrating force over distance rather than a single multiplication.

Common mistakes

  • Using the force applied in any direction rather than the component of force in the direction of motion - work is F × d only when the force acts along the displacement; a force perpendicular to motion does zero work.
  • Confusing work (energy transferred, in joules) with power (rate of energy transfer, in watts) - the same amount of work done quickly versus slowly represents very different power.
  • Forgetting that a negative work value means energy is being removed from the object (e.g. friction, braking), not an error in the calculation.

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