F = m·v²/r

Centripetal force in circular motion

Force grows with speed squared and falls with larger radius.

MINTSI
01

Inputs

Resultant radial force toward the centre.

Moving mass.

Speed on the circular path.

Distance to rotation centre.

02

Result

Select a target and calculate.

Calculation

F = m · v² / r

Force grows with speed squared and falls with larger radius.

Understand the inputs
  • Centripetal force FResultant radial force toward the centre.
  • Mass mMoving mass.
  • Tangential speed vSpeed on the circular path.
  • Circle radius rDistance to rotation centre.
Example

100 kg, 10 m/s and 10 m radius give 1,000 N.

Assumptions and limits

Uniform circular motion; bearing and friction forces are excluded.

Sources