Work Calculator
Results
Use this Work Calculator to calculate mechanical work from force, displacement, and the angle between them. The calculator also supports work associated with lifting a mass vertically.
Calculation Methods
For a constant force:
W = F × d × cos(θ)
Where θ is the angle between the force and displacement directions.
For lifting a mass through a vertical height:
W = m × g × h
Example
If a constant 60 N force moves an object 5 m at an angle of 30° to the displacement:
W = 60 × 5 × cos(30°)
W ≈ 259.8 J
Important Note
Only the component of force parallel to the displacement contributes to work. At 0°, work is F × d; at 90°, the force does zero work on that displacement; and angles greater than 90° can produce negative work.
The simple formula assumes a constant force. A force that changes with position generally requires a more detailed calculation.