Work Calculator

Calculate work, force, or distance using the physics formula W = F × d.

When force is applied at an angle, only the component along the direction of motion does work.

How to use

  • Solve for Work
    Enter force and distance to calculate the work done. Example: 10 N × 5 m = 50 J.
  • Solve for Force
    Enter work and distance to find the force applied. Example: 50 J ÷ 5 m = 10 N.
  • Solve for Distance
    Enter work and force to find the distance covered. Example: 50 J ÷ 10 N = 5 m.
  • Angle (optional)
    If force is applied at an angle to the direction of motion, enter the angle. The formula becomes W = F × d × cos(θ).

Work Formula

W = F × d × cos(θ)
W = Work (Joules)
F = Force (Newtons)
d = Distance (meters)
θ = Angle (default 0°)

Energy Unit Reference

UnitEqual to
1 kJ1,000 J
1 cal4.184 J
1 kcal4,184 J
1 Wh3,600 J
1 kWh3,600,000 J
1 eV1.602 × 10⁻¹⁹ J

What is Work in Physics?

In physics, work is done when a force causes an object to move in the direction of the force. It is measured in Joules (J) — the SI unit of energy. Work is a scalar quantity, meaning it has magnitude but no direction. The formula for work is W = F × d × cos(θ), where F is the applied force, d is the displacement, and θ is the angle between the force and the direction of motion.

Work and Energy

Work and energy are closely related. When work is done on an object, it transfers energy to that object. This is known as the work-energy theorem — the net work done on an object equals the change in its kinetic energy. For example, pushing a box across a floor does work against friction, converting mechanical energy into heat.

Frequently Asked Questions

Can work be negative?

Yes. When the force and displacement are in opposite directions, the angle θ is greater than 90°, making cos(θ) negative. For example, friction does negative work on a moving object because it opposes motion.

What is the difference between work and power?

Work measures the total energy transferred, while power measures the rate at which work is done. Power = Work ÷ Time, measured in Watts (W). A powerful machine can do the same work as a weaker one, but in less time.

Is work done if there is no movement?

No. In physics, if there is no displacement, no work is done regardless of how much force is applied. For example, pushing against a wall with all your strength does no work if the wall does not move.

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