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Mechanics Calculator

Torque Calculator

Calculate torque from force, lever-arm distance, and the angle between the force and the lever arm.

τ

Enter torque details

Use τ = r × F × sin(θ), where θ is the angle between the force and lever arm.
⚠ Maximum torque occurs at 90°. A force parallel to the lever arm produces zero torque.
🛡 All calculations run in your browser. Your data stays private and is never stored.

Result

Enter the force, lever-arm distance, and angle, then calculate the torque.

Torque
Force
Lever arm
Angle
Perpendicular force

What torque means

Torque is the turning effect of a force around a pivot or axis. More force or a longer lever arm usually creates more torque.

Why the angle matters

Only the component of force perpendicular to the lever arm creates rotation. The sine of the angle accounts for this effect.

Common torque uses

Torque calculations are used for engines, bolts, shafts, levers, hinges, rotating machinery, and structural systems.

Frequently asked questions

What formula does this calculator use?

Torque is calculated using τ = rFsin(θ), where r is lever-arm distance, F is force, and θ is the angle between them.

What is the SI unit of torque?

The SI unit of torque is the newton-metre, written N·m.

When is torque at its maximum?

Torque is maximum when the force acts at 90° to the lever arm because sin(90°) equals 1.

Can torque be zero even when force is applied?

Yes. Torque is zero when the force acts directly along the lever arm because the perpendicular force component is zero.

Science Calculation Disclaimer

Results are estimates generated locally in your browser from standard scientific formulas and reference data. They are for informational and educational purposes only and are not a substitute for laboratory validation or professional scientific analysis. VisionVix accepts no liability for decisions based on this tool's output.

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