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Calculation Machine

Centripetal Force Calculator

Centripetal force and acceleration in circular motion.

Reviewed by the Calculation Machine team · How we check our maths

Your values

ⓘ Live results

Results
Centripetal force
8000 N
Centripetal acceleration
8 m/s²
In g's
0.82

Quick answer

Centripetal force F = m x v^2 / r.

The formula

F = m v^2 / r

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • Mass1000 kg
  • Speed20 m/s
  • Radius50 m

Result

  • Centripetal force8000 N
  • Centripetal acceleration8 m/s²
  • In g's0.82

How to use the Centripetal Force Calculator

  1. 1Enter the object's mass, speed and the radius of its circular path.
  2. 2Read the required centripetal force and acceleration.
  3. 3Compare acceleration in g's to check comfort or structural limits.

Frequently asked questions

What provides centripetal force?

It can come from tension, gravity, friction or a normal force, depending on the situation.

Why does a car skid on a tight curve?

If required centripetal force exceeds available tire friction, the car cannot follow the curve.

About this calculator