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Physics & engineering

Torque from force and angle

Torque from force and angle: Torque magnitude = radius × force × |sin(angle between radius and force)|, in newton-metres.

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How it works

Torque magnitude = radius × force × |sin(angle between radius and force)|, in newton-metres.

Input definitions

Force (N)
Enter the value in the labeled unit.
Distance from pivot (m)
Enter the value in the labeled unit.
Angle between arm and force (degrees)
Enter the value in the labeled unit.

A worked example

Force (N)
10
Distance from pivot (m)
2
Angle between arm and force (degrees)
90
20

Assumptions & limits

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

When does the same force produce no torque?

When its line of action passes through the pivot. A force parallel to the radius gives a zero sine factor.

How does Torque from force and angle work?

Torque magnitude = radius × force × |sin(angle between radius and force)|, in newton-metres.

What should I check before using Torque from force and angle?

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

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