Work Calculator

Calculate work done using force and displacement. Work is the energy transferred by a force acting over a distance.

0° = force along motion
Enter force and distance to calculate work.

Work Formula

W = F × d × cos(θ)

Work is the dot product of force and displacement. When force is in the direction of motion (θ = 0°), W = F × d.

Example: Push a box with 50 N over 10 m at 0°.
W = 50 × 10 × cos(0°) = 50 × 10 × 1 = 500 J

When is Work Zero?

  • θ = 90° (force perpendicular to motion, e.g., carrying a bag horizontally).
  • No displacement (pushing against an immovable wall).
  • No force applied.

FAQ

Can work be negative?

Yes. When the force opposes motion (90° < θ ≤ 180°), work is negative. Friction does negative work on a sliding object.

What is the unit of work?

Work is measured in joules (J). 1 joule = 1 Newton × 1 meter.

Last updated: 2026-08-08