Work Done Calculator (W = Fd)
This work done calculator solves the physics equation W = Fd, the work done by a constant force acting in the same direction as an object's motion. Choose whether you want to find work, force or distance from the solve for dropdown, then enter the two known values, force in newtons and distance in metres if solving for work, or work in joules alongside whichever of force or distance you know. The calculator instantly returns the answer in the results card, showing the solved value and confirming which quantity, work, force or distance, has been calculated, along with its unit. Work in physics is the energy transferred when a force moves an object through a distance, measured in joules, where one joule equals one newton metre. Below the calculator you will find the rearranged formulas, F = W / d and d = W / F, a worked example using 10 newtons over 5 metres to produce 50 joules, and answers to common questions, including what happens when the force acts at an angle to the motion, where you multiply by the cosine of that angle. It suits physics students, teachers preparing examples, and engineers running quick mechanical work calculations. It assumes the force acts along the direction of motion and that you enter values in the labelled SI units, so convert any imperial figures first.
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
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