Engineering

Torque Calculator

Calculate torque from force, lever arm, and angle.

Formula reviewed: 2026-02-14 Engineering

Torque Calculator computes rotational moment from force, lever arm distance, and angle. It is useful for statics homework, fixture checks, wrench-force estimates, and first-pass mechanical reasoning where direction, units, and geometry matter.

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Input Pattern

Enter values in the left panel, keep units explicit, run the calculation, then copy or share the result. Invalid fields are highlighted immediately.

How to use this tool

Enter force, lever arm length, and the angle between the force and lever arm.
Keep force in newtons, distance in meters, and angle in degrees unless the panel states otherwise.
Run the calculator and review torque in newton-meters.
Check whether the modeled angle matches the actual force direction before using the result.

Torque Inputs

Result

Torque: 42.000000 N·m

Formula or method

Torque magnitude follows tau = r F sin(theta).
Only the force component perpendicular to the lever arm contributes to torque.
Sign and direction depend on the chosen coordinate system; this tool focuses on magnitude.

Worked example

Estimating wrench torque

Force: 100 N
Lever arm: 0.30 m
Angle: 90 degrees

Result: Torque is 30 N*m.

At 90 degrees the full force contributes. At a smaller angle, the perpendicular component and torque are lower.

How to interpret the result

Torque results depend strongly on geometry, force direction, and units.

Maximum torque occurs when force is perpendicular to the lever arm.
If force is applied along the lever arm, torque approaches zero.
Real assemblies may also need friction, preload, thread pitch, deformation, and tool calibration considered.

Common mistakes

Using centimeters or millimeters as meters.
Forgetting the sine of the force angle.
Treating wrench torque as the same thing as clamp force.

Confidence and limitations

Outputs are deterministic formula results and depend entirely on input quality and units.
Results are for planning and learning; verify with domain standards before safety-critical use.
Use as a quick estimate only; validate against codes, tolerances, and project constraints.

Formula References

First-order engineering design formulas and unit conversions.
Results are quick estimates, not code-compliance validation.

Assumptions

Rigid lever arm and point-force approximation.
Angle is between the lever arm and applied force.

Review note and limitations

Method - standard torque magnitude equation tau = r F sin(theta).

Does not model dynamic effects, friction, fastener preload, calibration error, or material limits.
Not a substitute for mechanical design review or manufacturer torque specifications.

Educational calculation only. Verify mechanical designs and fastener settings against specifications and qualified guidance.

FAQ

Why does angle matter?

Only the perpendicular component of force creates rotational moment, so torque is multiplied by sin(theta).

Can this set fastener torque?

Use manufacturer specifications and calibrated tools for fasteners. This calculator explains the basic moment relationship.

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