Work Calculator
Work done by a force over a distance.
Amortization schedule
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Introduction
Work Calculator — Work done by a force over a distance. Enter Force (N), Distance (m), Angle (°) to get an instant, accurate result.
Formula
Work is calculated as W = F × d × cos(θ), where F is the applied force, d is the displacement, and θ is the angle between the force and displacement directions.
Step-by-step
- Enter the Force (N).
- Enter the Distance (m).
- Enter the Angle (°).
- Click Calculate to see your result instantly.
Real-world example
Example: With Force (N) = 10, Distance (m) = 5, Angle (°) = 60, the Work Calculator gives Work J: 25.
Frequently Asked Questions
What does the angle in the formula represent?
The angle θ accounts for the fact that only the component of force acting in the direction of motion does work. When force and displacement are parallel, θ = 0° and cos(θ) = 1, maximizing the work done.
What happens if the force is perpendicular to the motion?
If θ = 90°, cos(90°) = 0, so no work is done, even if a force is applied — this is why carrying a bag horizontally at constant height does no work against gravity.
What units does work use?
Work is measured in joules (J) when force is in newtons (N) and distance is in meters (m), following the SI convention.
What inputs does the Work Calculator need?
You'll need to provide: Force (N), Distance (m), Angle (°). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Work Calculator?
The Work Calculator applies the formula exactly as calculated — Work is calculated as W = F × d × cos(θ), where F is the applied force, d is the displacement, and θ is the angle between the force and displacement directions. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Work Calculator free to use?
Yes, the Work Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Work Calculator
The Work Calculator uses a real, verifiable formula — Work is calculated as W = F × d × cos(θ), where F is the applied force, d is the displacement, and θ is the angle between the force and displacement directions. — so results are accurate every time, not an approximation.