Torque Calculator (Force × Lever Arm)
Enter the force, the distance from the pivot and the angle.
Your numbers
Your results
Torque (N·m)
Torque (N·m)
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Torque (lb·ft)
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Force needed for the target torque (N)
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Torque Calculator (Force × Lever Arm) by TheCalcTools
How the Torque Calculator (Force × Lever Arm) works
Torque is the turning effect of a force: τ = F × r × sin θ, where r is the distance from the pivot and θ the angle between the force and the lever. Pushing at right angles gives the most torque.
A longer wrench gives more torque for the same force, which is why breaker bars loosen stuck bolts.
The formula
τ = F r sin θ; 1 N·m = 0.7376 lb·ft
Worked example
Using the default values shown in the calculator:
| Force (N) | 200 |
|---|---|
| Lever arm length (m) | 0.4 |
| Angle between force and lever (degrees) | 90 |
| Target torque (N·m, optional) | 120 |
- 200 N at right angles on a 0.4 m wrench: 80.00 N·m (59.00 lb·ft).
Result:
| Torque (N·m) | 80.00 |
|---|---|
| Torque (lb·ft) | 59.00 |
| Force needed for the target torque (N) | 300.0 |
Frequently asked questions
What torque do wheel nuts need?
Many cars specify 100 to 140 N·m; always use the value in your owner’s manual and a torque wrench.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.