Force and displacement tool

Work Calculator

Solve work, force, or distance from two known values using W = F × d.

Enter two known values

Solve a work problem

Free tool
J

This is the value being calculated.

N

Force acting parallel or opposite to the displacement.

m

Positive displacement through which the force acts.

Use newtons for force, meters for distance, and joules for work.

Try an example:

Your work result will appear here

Choose the missing variable and enter the other two known values.

Calculator guide

How this calculator works

Work Calculator determines the energy transferred when a force moves an object through a distance. It helps physics students, engineers, and laboratory users analyze mechanical work, force interactions, and energy transfer.

Formula explanation

Work measures energy transfer when a force moves an object through a distance using W = Fd.

Formula

Work = Force × Distance × cos(θ)

Worked example

Example: Applying 20 N of force over 5 meters produces 100 joules of work.

Assumptions

  • Force and displacement values are measured accurately.
  • Input values use compatible units.
  • The direction of force relative to displacement is known.

Examples

  • Example: Calculate mechanical work when a known force moves an object through a measured distance.
  • Example: Engineers analyze energy transfer in machines by calculating work performed by applied forces.

Common mistakes

  • Ignoring displacement direction.
  • Confusing work and power.
  • Using incorrect distance units.

Variables

  • Applied force
  • Displacement distance
  • Angle between force and motion
  • Work performed
  • Measurement units

Limitations

  • Does not include complex energy losses unless additional factors are provided.
  • Results depend on accurate force, distance, and angle measurements.

Scientific references

  • OpenStax University Physics: Work and Energy
  • NIST SI Units and Measurement References
  • Classical mechanics principles

Content review

Reviewed by: ScienceCalcHub Physics Review Team | Last reviewed: 2026-08-30

Applications

  • Physics education
  • Engineering mechanics analysis
  • Laboratory energy experiments
  • Machine and motion studies

Frequently asked questions

How is work calculated?

Work is calculated by multiplying force, displacement distance, and the cosine of the angle between force and motion.

What is the SI unit of work?

The SI unit of work is the joule (J), which represents energy transferred when one newton of force moves an object one meter.

Does direction affect work calculation?

Yes, only the component of force acting in the direction of displacement contributes to mechanical work.

Accuracy and transparency

Created and maintained by our editorial team

This physics calculator is maintained by the ScienceCalcHub Editorial Team. Its calculation logic is tested with representative inputs, while the supporting guidance is checked for formula clarity, units, assumptions, and common mistakes.

Written by
ScienceCalcHub Editorial Team
Reviewed by
ScienceCalcHub Scientific Review Team
Review standard
Formula accuracy, units, examples, and educational clarity

Learn more about our formula-review and correction process, explore our calculation methodology, or view our scientific references.

  • Calculation logic tested
  • Variables and units explained
  • Assumptions stated clearly
  • Corrections handled transparently

Mechanical energy transfer

What is work in physics?

Work is the energy transferred when a force moves an object through a distance. The simple formula applies when the force acts parallel or opposite to the displacement.

Formula

Work formula

WorkW = F × d

  • W is work in joules.
  • F is force in newtons.
  • d is distance in meters.

Worked example

A 20 N force moves an object 5 m

  1. Write the formula: W = F × d.
  2. Substitute the values: W = 20 × 5.
  3. Calculate the work: W = 100 J.

Rearranged equations

Solve for force or distance

Force

F = W ÷ d

Divide work by a positive distance.

Distance

d = W ÷ F

Divide work by a non-zero force. Work and force must have matching signs.

Direction and signs

Positive, negative, and zero work

Work is positive when force acts in the direction of displacement and negative when force acts opposite to it. Work is zero when the force is zero or when there is no displacement.

Units

Standard SI units

Use newtons for force and meters for distance. Convert other units before entering values.

One joule1 J = 1 N·m

Calculation limits

Important assumptions

  • Distance must be greater than zero.
  • Force may be positive, negative, or zero when calculating work.
  • Force cannot be zero when calculating distance.
  • The formula assumes force is parallel or opposite to displacement.
  • The calculator does not automatically convert units.

Related tools

Use the Force Calculator to solve force, mass, or acceleration.

Use the Kinetic Energy Calculator to calculate motion energy, or use the Momentum Calculator for mass and velocity problems.

Questions and answers

Calculator FAQ

How is work calculated?

Work is calculated by multiplying force, displacement distance, and the cosine of the angle between force and motion.

What is the SI unit of work?

The SI unit of work is the joule (J), which represents energy transferred when one newton of force moves an object one meter.

Does direction affect work calculation?

Yes, only the component of force acting in the direction of displacement contributes to mechanical work.