# Torque Calculator

> Calculate torque step by step: τ = F × r × sin θ.

Page: https://freecalculator.tech/tools/torque-calculator
Last reviewed: 2026-11-03

## Formula

τ = F × r × sin θ.

- θ is the angle between the force and the lever arm; 90° gives maximum torque.
- Angle limited to 0°–180°.
- 1 lbf·ft = 1.3558 N·m.
- τ = F × r × sin θ.
- Inputs used: Force, Lever arm distance, Angle between force and arm.

## Inputs

- Force
- Lever arm distance
- Angle between force and arm

## Worked example: 200 N on a 0.3 m wrench

Force applied at right angles.
1. sin 90° = 1.
2. τ = 200 × 0.3 × 1 = 60 N·m.

## Common questions

### Why does the angle matter?

Only the part of the force perpendicular to the arm turns the object. Pushing along the arm produces no torque.

### Is torque the same as work?

They share units (N·m) but differ: torque is a turning force, work is energy. Work in rotation is torque × angle in radians.

### How do I convert to lb-ft?

Divide N·m by 1.3558; the result is shown in the breakdown.

### How do I use the Torque Calculator?

Enter the required values for Force, Lever arm distance, Angle between force and arm. The calculator applies the formula on this page and shows the main result with any supporting breakdown so you can check the arithmetic.

### What formula does the Torque Calculator use?

τ = F × r × sin θ. The visible formula section above lists the calculation path and the edge cases the page handles, so the result can be checked without relying on the form alone.

### Can the Torque Calculator be used for exact decisions?

Use it as a calculation aid, not as a substitute for checking the underlying rule, contract, policy, or professional advice that applies to your situation. When a result depends on local rules, personal details, prices, or dates, enter those values yourself and confirm them before acting.

## Limitations and assumptions

- Static torque only.
- Rigid arm assumed.
- Friction in threads or bearings not included.
- Results are estimates for planning and learning. Real designs, installations and bids must be checked by a qualified, licensed professional against the codes that apply where you work.
- The result depends on the values you enter for this torque calculator; it does not supply missing rates, rules, prices, dates, or assumptions for you.

## Sources

- OpenStax (Rice University) — https://openstax.org/details/books/university-physics-volume-1

## Cite this page

- APA: Free Calculator. (2026, November 3). Torque Calculator. https://freecalculator.tech/tools/torque-calculator
- MLA: "Torque Calculator." Free Calculator, 3 Nov. 2026, https://freecalculator.tech/tools/torque-calculator.
- Link: Torque Calculator — Free Calculator, https://freecalculator.tech/tools/torque-calculator