Mihsaba›Work Calculator (Physics)

Work Calculator (Physics)

Calculate mechanical work from force, displacement and their angle, with the parallel force component and positive/zero/negative work classification.

These are ideal classical-physics models. Force directions, friction regime, elastic limits and time-varying forces can require a fuller model.

How to use

In mechanics, work is energy transfer by a force acting through a displacement. Only the component parallel to motion contributes, so the calculator uses the cosine of the angle between force and displacement.

  1. Enter force in newtons.
  2. Enter displacement in metres.
  3. Enter the angle from 0° to 180°.
  4. Review work, parallel force and sign.

How it is calculated

W=F·d·cosθ; F∥=Fcosθ

Example

Example: 100 N moving an object 5 m in the same direction gives 500 J. At 90° work is zero; above 90° it becomes negative.

Important notes

This equation assumes constant force and angle. If force changes with position, an integral is required instead of simple Fdcosθ.

Frequently asked questions

Why is work zero at 90°?

The force component along the displacement is zero.

Is negative work an error?

No; it means the force component opposes displacement.

Is a joule a N·m?

Yes for work/energy: 1 J = 1 N·m.