Physics Tool
Work Calculator
Calculate Work done by a constant force.
Work Done
500.00
Joules (J)
Σ The Formula
W = F · d · cos(θ)
Real World Examples
Direct push
F=50N, d=10m, θ=0° → W=500J
# About This Calculator
In physics, Work has a very specific meaning: it is the result of a Force applied over a Distance.
W = Force × Displacement × cos(θ)
The "Holding a Heavy Box" Paradox
If you hold a heavy box stationary for 10 minutes, your arms will get tired, and you will feel like you did "work."
Physics says: No.
Since the displacement (distance moved) is zero, the Work done on the box is ZERO Joules. Physics only counts work when energy is successfully transferred to move an object.
Frequently Asked Questions
What is 'Work' in physics?+
Work is the transfer of energy. It happens when a force causes an object to move. If nothing moves, no work is done.
Why is the angle (θ) important?+
Only the force acting *in the direction of motion* counts. If you pull a sled at an angle, only the horizontal part of your pull moves the sled forward. We use Cosine(θ) to find that horizontal component.
What is a Joule?+
The Joule is the unit of Work (and Energy). 1 Joule = 1 Newton of force moving an object 1 Meter. (1 J = 1 N·m).
Is Work the same as Power?+
No. Work is how much energy is transferred (Joules). Power is how *fast* that work is done (Joules per Second, or Watts). Lifting a box in 1 second takes more Power than lifting it in 10 seconds, but the Work done is the same.
Is Work Calculator free to use?+
Yes, Work Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.
How accurate is Work Calculator?+
We use standard mathematical formulas and high-precision computing algorithms to ensure results for Work Calculator are accurate for academic and professional use.