Torque Calculator

The Torque Calculator computes rotational torque from applied force, lever arm length, and the angle between them. Torque measures how effectively a force tends to rotate an object about a pivot or axis.

Torque formula

$$\tau = F \cdot r \cdot \sin(\theta)$$

Where $\tau$ is torque, $F$ is force, $r$ is the perpendicular distance from the pivot (lever arm), and $\theta$ is the angle between the force vector and the lever arm. When the force acts perpendicular to the lever arm, $\sin(90°) = 1$ and the formula simplifies to $\tau = F \cdot r$.

Example

A 50 N force applied at the end of a 0.40 m wrench handle at 90° produces $\tau = 50 \times 0.40 = 20$ N·m of torque. The same force at 30° gives $\tau = 50 \times 0.40 \times \sin(30°) = 10$ N·m.

Frequently Asked Questions

What is torque?

Torque is the rotational equivalent of force. It describes the tendency of a force to rotate a body about an axis or pivot point.

What units are used for torque?

Common torque units include newton-meters (N·m), pound-feet (lb·ft), pound-inches (lb·in), and kilogram-force meters (kgf·m). This calculator converts between them automatically.

Why does angle matter in torque?

Only the component of force perpendicular to the lever arm contributes to rotation. At 0° the force produces no torque; at 90° the full force contributes.

How is torque related to power?

Rotational power equals torque times angular velocity: $P = \tau \omega$. At a given RPM, higher torque means higher mechanical power output.

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Torque Calculator