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Science Calculators

Centripetal Force Calculator

Verified formula Updated Jun 2026 Private — runs on your device

Enter details
kg
m/s
m
Verified formula Private

Centripetal force

16.6667

For general information only — not financial, tax, legal or medical advice. Verify before you rely on it.

How to use the Centripetal Force Calculator

The Centripetal Force Calculator works out your centripetal force in an instant. Enter mass, speed and radius and the result updates as you type — it is free, needs no sign-up, and runs entirely in your browser so your figures stay private.

  1. Enter the mass.
  2. Enter the speed.
  3. Enter the radius.
  4. Read off your centripetal force — the calculator updates automatically, with no button to press.

Formula

The Centripetal Force Calculator uses the formula:

Centripetal force = Mass × Speed ^ 2 ÷ Radius

Worked example

For example, with mass of 2 kg, speed of 5 m/s and radius of 3 m, the centripetal force is 16.6667.

Inputs used
Mass 2 kg
Speed 5 m/s
Radius 3 m
Results
Centripetal force 16.6667

Results are estimates for educational use, not professional advice.

Key terms explained

Force
A push or pull on an object, equal to mass × acceleration (Newton's second law).
Radius
The distance from the centre of a circle or sphere to its edge.

Frequently asked questions

It is the inward force that keeps an object moving in a circle: F = mv² ÷ r. A 2 kg object at 5 m/s on a 3 m radius needs about 16.7 N.

Always toward the centre of the circle, perpendicular to the object's motion.

Tension, gravity, friction or a normal force can supply it, depending on the situation.

Force grows with the square of speed, so doubling the speed needs four times the force.

The Centripetal Force Calculator uses the formula: Centripetal force = Mass × Speed ^ 2 ÷ Radius. For example, with mass of 2 kg, speed of 5 m/s and radius of 3 m, the centripetal force is 16.6667.

Enter the mass. Enter the speed. Enter the radius. Read off your centripetal force — the calculator updates automatically, with no button to press.

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