τ = r·F·sinθ maximum when θ = 90° → τ = r·F

Torque: Turning effect of a force about a pivot. This free calculator solves for Torque, force, lever arm, angle and shows every step.

The physics

Torque is the rotational equivalent of force — it measures a force's tendency to cause rotation about a pivot. It depends on the force, the distance from the pivot, and the angle: a force applied perpendicular to the lever arm (θ = 90°) produces maximum turning effect, which is why a longer wrench loosens a stubborn bolt more easily.

Worked example

F = 50 N at r = 0.30 m, perpendicular. τ = 50·0.30·sin90° = 15 N·m.

Common uses

Tightening bolts to specification, see-saws and levers, engine output ratings, robotic joints and gearboxes.

Frequently asked questions

What is the formula for Torque?

Torque uses the formula τ = r·F·sinθ. Turning effect of a force about a pivot.

How do you calculate Torque?

Choose which variable to solve for, enter the values you know (in any supported unit), and the calculator substitutes them into τ = r·F·sinθ and shows every step of the working. It can solve for Torque, force, lever arm, angle.

Is the Torque calculator free to use?

Yes — every Physics Fundamentals calculator is completely free, with no login, no ads and no usage limits.