Physics and mechanical engineering · Rotational mechanics

Torque from force and lever arm

Calculate torque magnitude from a force, perpendicular lever arm, and angle between them.

Published · R0

Method and scope

τ = rF sin θ.

Use torque from force and lever arm for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Applied force — N, kN, lbf
  • Distance from axis — m, cm, mm, in
  • Angle between arm and force — rad, °
SOURCE AND LIMITS

Assumptions: The force acts at the entered distance from the rotation axis. The angle is between the lever-arm vector and force.

Limitations: The output is torque magnitude; axis direction and sign convention are omitted.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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