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Torque from Force and Lever Arm — result sheet
Calculate the magnitude of torque from a force, lever-arm length, and the angle between them.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Torque magnitude tau = r F sin(theta), where r is the lever-arm length, F is force, and theta is their included angle. This is a textbook lever-arm model only.
This calculator returns the magnitude of the moment produced by an entered force about an entered lever arm. The ideal textbook relation uses the perpendicular component of force and does not describe fastening, structural capacity, component strength, or safe operation.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Force — N; Finite nonnegative force magnitude in newtons.; minimum 0; maximum 1000000000
- Lever arm — m; Finite nonnegative distance from the axis to the force line of action.; minimum 0; maximum 1000000
- Angle between lever arm and force — degrees; Enter the included angle in degrees.; minimum 0; maximum 180
Worked example
| Input | Value |
|---|---|
| Force | 100 |
| Lever arm | 0.5 |
| Angle between lever arm and force | 90 |
Torque magnitude is 50 N m.
Assumptions and limits
- Force is a finite nonnegative magnitude in newtons, lever-arm length is a finite nonnegative distance in metres, and the included angle is between 0 and 180 degrees.
- The force and lever arm are treated as known vectors for one textbook moment calculation; direction, axis choice, and sign convention are not separately represented.
- The formula is an ideal lever-arm relation only. Fastening procedure, preload, material response, structural analysis, and safety advice are outside the calculation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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