Calculatorism

Work Calculator

Find mechanical work W = F·s·cosθ. Enter force, displacement and angle for work, or work, force and angle for displacement.

Input Data

Force
Distance
Angle

Results

Work in joules (J).
500
Explanation note.
功 = F·d·cosθ = 50×10×cos(0°) = 500 J。

At a glance:Work W = F·s·cosθ is the energy transferred by a force acting through a displacement. Only the component along the displacement counts; at 90° no work is done. θ=0 → W=F·s. Units: joules (J = N·m).

Formula

W = F·s·cosθ

F = W/(s·cosθ) ; s = W/(F·cosθ)

How to Use

  1. Enter force F, displacement s and angle θ.
  2. The tool gives the work W.

Case Studies

10 N over 5 m, theta=0 deg

W = 10 × 5 × cos0 = 50 J.

FAQ

θ=90°?

Zero work.

Negative work?

When force opposes motion (cosθ<0).

Versus energy?

Work is a transfer of energy.

Precision?

Shown to 4 digits.

Related Tools

References

Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.

Found a problem with the results?

If this calculator's result is wrong, or you have any question about the calculation logic, please let us know. You are viewing:Work Calculator(/physics/work)。