A longer wrench gives more torque for the same push, which is why stuck bolts are easier with a breaker bar.
How to use the Torque Calculator
- Lever arm length
- Force
- Angle between arm and force
- Want to work backwards? Type a value into Torque and Force is calculated for you.
Results update as you type, and every field accepts the units shown in its menu.
How it works
Multiply the lever arm length by the force and by the sine of the angle between them.
Inputs explained
| Field | What to enter |
|---|---|
| Lever arm length | Units: m, cm, mm, km, in, ft … |
| Force | Units: N, kN, lbf, kgf |
| Angle between arm and force | In ° |
Example values
How the main result changes when Force changes and everything else stays at the example values above:
| Force (N) | Torque (N·m) |
|---|---|
| 100 | 30 |
| 150 | 45 |
| 200 | 60 |
| 250 | 75 |
| 300 | 90 |
| 400 | 120 |
Formula
τ = r × F × sin θWorked example
Inputs — Lever arm length: 0.3 m; Force: 200 N; Angle between arm and force: 90 °.
Results — Torque = 60 N·m.
Frequently asked questions
When is torque largest?
When the force is perpendicular to the arm.
How do I convert N·m to lb-ft?
Divide by 1.3558.
What formula does the Torque Calculator use?
τ = r × F × sin θ.
Can I work backwards from the result?
Yes. Type the result you want into Torque and the calculator finds the matching force.