Centripetal Force Calculator

Centripetal force calculator finds the centripetal force of an object moving in a circular motion. In other words, it calculates the magnitude of centripetal force. It can also find the velocity, mass, and radius of an object if force is given.

If the answer to your calculation is a negative number, it means the centrifugal force is acting on the object.

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What is centripetal force?

Centripetal force is a net force that acts on an object to keep it moving along a circular path. It is necessary for an object to move with a circular motion. 

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How to find centripetal force?

To find centripetal force, you should have the velocity, radius of the circular path, and mass of the object moving in a circular path. If you have the angular acceleration of the body, you can still find the magnitude of centripetal force.

1. Take the square of the velocity.
2. Multiply it to the mass of the body.
3. Divide the value by the radius of the circle in which the body is moving.

Example:

Calculate the centripetal force of an object if it is moving in a circle having a radius of 5 m, the mass of the body is 10 kg, and the velocity is 15 m/s.

Solution:

Place the given values in the equation of centripetal force.

F_c = mv²/r

F_c =10 × (15)²/5

F_c = 450 N

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Is centripetal and centrifugal force the same?

Both are the same but opposite in direction. The centripetal force acts inwardly (pulls the object toward the centre) while centrifugal force pushes it away from the centre. Both have the same formulas. The only difference is, centrifugal force is accompanied by a negative sign.