Free Centripetal Force Calculator

Calculate the centripetal force required for circular motion using F = m * v² / r.

kg
m/s
m

Centripetal Force

16.6667 N

Centripetal Force vs Mass

Centripetal Force

An object in circular motion requires a net inward force directed toward the center of the circle.

Formula

F_c = m * v² / r

This force does not do work since it is always perpendicular to velocity.

Example Calculation

A 2 kg ball on a 3 m string swings at 5 m/s.

  1. 01F_c = m * v² / r
  2. 02F_c = 2 * 25 / 3
  3. 03F_c = 50 / 3
  4. 04F_c = 16.667 N

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