FormuLab
Physics

Torque

The turning effect of a force about a chosen pivot.

Study tools
Save, share, export, or report this formula.
Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Forces, angles, and rotational direction

Review statusNeeds review

Source

OpenStax, University Physics Volume 1, §10.6: Torque

Equation reference for torque magnitude and the right-hand rule. Explanation and worked example written for FormuLab.

Definition
Understanding the core concept

A force produces more turning effect when applied farther from the pivot and more nearly perpendicular to the position vector. A force whose line of action passes through the pivot gives zero torque about it. The same force can therefore have different torques about different pivots.

Variables & Units
Understanding each component
SymbolMeaningUnits
Magnitude of torque about the pivot
Distance from pivot to force application point
Magnitude of the applied force
Angle between the position vector and force
Real-World Applications
Where this formula is used in practice

Wrenches

Find the torque from a hand force at the end of a wrench.

Door handles

Compare turning effects at different distances from a hinge.

Moment balances

Calculate individual contributions to a rotational equilibrium equation.

Worked Example
Step-by-step calculation with real numbers

Problem

A wrench extends 0.300 m horizontally to the right from a bolt. An 80.0 N force acts at its end, 30.0° above the rightward horizontal. Find the torque magnitude and rotational direction about the bolt.

Given

Solution

1
2
3
4

Final Answer

FormuLab is a study reference. Verify formulas, units, assumptions, and course-specific conventions before relying on them.

Browse by category

See all