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Calculators / Science / Torque from force

Torque from force calculator

Calculate torque magnitude using force, the distance from the pivot and the angle between them; a parallel force produces no torque.

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Your result

Torque magnitude50N·m

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How to calculate

Calculate torque magnitude using force, the distance from the pivot and the angle between them; a parallel force produces no torque.

Torque magnitude = F*r*sin(a*pi/180) N·m

Worked example

Force (N): 100; Lever arm (m): 0.5; Angle between force and arm (degrees): 90.

Torque magnitude: 50 N·m.

Assumptions and limits

Calculate torque magnitude using force, the distance from the pivot and the angle between them; a parallel force produces no torque. Ideal classical mechanics. Enter SI units and the angle between the force and lever arm; torque output is a magnitude.

Results are rounded for display; calculations use unrounded values. Read our calculation methodology.

Understanding the result

Calculate torque magnitude using force, the distance from the pivot and the angle between them; a parallel force produces no torque.

When this tool is useful

Torque magnitude = F*r*sin(a*pi/180) N·m

Understanding your inputs

InputWhat to enter
Force (N)Enter a number of at least 0 and no more than 1000000000000.
Lever arm (m)Enter a number of at least 0 and no more than 1000000000000.
Angle between force and arm (degrees)Enter a number of at least 0 and no more than 180.

Frequently asked questions

What assumptions does this calculation use?

Calculate torque magnitude using force, the distance from the pivot and the angle between them; a parallel force produces no torque. Ideal classical mechanics. Enter SI units and the angle between the force and lever arm; torque output is a magnitude.

How is the result calculated?

Torque magnitude = F*r*sin(a*pi/180) N·m