FormuLab
Physics

Centripetal Force

Centripetal force is the required inward component of net force for circular motion.

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

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §6.3 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Centripetal force is the required inward component of net force for circular motion. It may be supplied by tension, friction, gravity, or several forces together; it is not an extra force to add to a force diagram.

Variables & Units
Understanding each component
SymbolMeaningUnits
Inward radial net-force magnitude
Mass
Speed
Circle radius
Real-World Applications
Where this formula is used in practice

Circular tracks

Find the radial force needed to follow a curve.

Rotating masses

Estimate the inward force on a rotating load.

Worked Example
Step-by-step calculation with real numbers

Problem

A 2.00 kg object moves at 4.00 m/s on a circle of radius 2.00 m. Find the inward radial net force.

Given

Solution

1
2
3

Final Answer

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

Browse by category

See all