# Torque Calculator

URL: https://speedycalculator.com/calculators/physics/torque/
Last updated: 2026-10-25

> The torque calculator finds the turning effect of a force applied at a distance from a pivot, τ = r F sin θ, in newton-metres and pound-feet.

## Inputs

- Lever arm length (m, cm, mm, km, in, ft, yd, mi)
- Force (N, kN, lbf, kgf)
- Angle between arm and force (°)

## Results

- Torque

## Formula

```
τ = r × F × sin θ
```

## Explanation

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

FieldWhat to enterLever arm lengthUnits: m, cm, mm, km, in, ft …ForceUnits: N, kN, lbf, kgfAngle between arm and forceIn °

### Example values

How the main result changes when **Force** changes and everything else stays at the example values above:

Force (N)Torque (N·m)1003015045200602507530090400120

## Worked example

Inputs — Lever arm length: 0.3 m; Force: 200 N; Angle between arm and force: 90 °.

Results — **Torque = 60 N·m**.

## FAQ

**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.