Work Done Calculator (W = Fd)

This work done calculator uses W equals Fd, the work done by a constant force acting along the direction of motion. Choose the unknown and enter the others; the calculator solves for work, force or distance. In physics, work is done when a force moves something through a distance, and it equals force times distance when the two are aligned. Work is measured in joules, and it represents the energy transferred. If the force is at an angle, multiply by the cosine of that angle; this calculator assumes the force acts along the motion. The formula, a worked example and the assumptions are below.

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Work (J)

Force (N)

Distance (m)

Solve for

Value

Result

The formula

Work is W = Fd for a force F acting through a distance d in the same direction. Rearranged: F = W / d and d = W / F. One joule is one newton metre. If the force is at angle theta to the motion, use W = Fd cos(theta).

Worked example

Pushing with 10 N over 5 m does W = 10 times 5 = 50 joules of work. Solve for W with F = 10, d = 5 to confirm.

Frequently asked questions

What is work in physics?

The energy transferred when a force moves an object through a distance: W = Fd when the force is along the motion.

What unit is work in?

The joule, equal to one newton metre, the same unit as energy.

What if the force is at an angle?

Multiply by the cosine of the angle between the force and the direction of motion: W = Fd cos(theta).

Who this calculator is for

This calculator is for physics students, teachers and engineers.

What this calculator assumes

You enter SI units as labelled.
One variable is solved from the others.
Results are rounded for display.

Formula and sources

Related calculators

Kinetic Energy Calculator: energy of motion.
Momentum Calculator: mass times velocity.
Projectile Motion Calculator: range and height.

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