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Torque Calculator

Calculate torque magnitude from force, pivot distance and the angle between them.

Torque magnitude

50.000000N·m

Formula

|τ| = rF sin θ

Force magnitude: 100 N · Distance from pivot: 0.5 m · Torque magnitude ≈ (100 N)×(0.5 m)×sin((90)×pi÷180)

How to use

  1. Enter force and distance from the pivot to its application point.
  2. Enter the angle between the position vector and force.
  3. Read torque magnitude in N·m.

Examples

  • 100 N perpendicular to a 0.5 m arm produces 50 N·m.

Frequently asked questions

Is distance the perpendicular lever arm?

No. Enter the full pivot distance; the sine factor gives the perpendicular lever arm.

Does the result show rotation direction?

No. Use the right-hand rule to determine the torque vector direction.

Why is torque zero at 0° or 180°?

The force line passes through the pivot and produces no turning moment.

Sources

Updated:

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