Centripetal Force Calculator

Centripetal force is the inward-pointing force that keeps an object moving along a circular path instead of flying off in a straight line — like the tension in a string swinging a ball, or a car's tires gripping a curve.

Fc r
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Centripetal Force -
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What Is a Centripetal Force Calculator?

Centripetal force is the inward-pointing force that keeps an object moving along a circular path instead of flying off in a straight line — like the tension in a string swinging a ball, or a car's tires gripping a curve. This calculator finds that force from mass, speed, and the radius of the circular path.

How to Use This Centripetal Force Calculator

  1. Enter the object's mass in kilograms.
  2. Enter its speed along the circular path, in meters per second.
  3. Enter the radius of the circle, in meters.
  4. Click Calculate to get the centripetal force in newtons.

Formula

Worked Example

A 0.2 kg ball swings on a string in a circle of radius 0.8 m at 4 m/s. Fc = (0.2 × 4²) / 0.8 = (0.2 × 16) / 0.8 = 4 N.

Frequently Asked Questions

What is centripetal force?

It's the force that keeps an object moving in a circular path, directed toward the center of the circle.

How is it calculated?

Centripetal force = (mass x velocity squared) divided by radius, or equivalently mass x angular velocity squared x radius.

What's a real-world example?

The tension in a string when swinging a ball in a circle, or the friction between tires and road that keeps a car turning through a curve.

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