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Centripetal Force Calculator

Calculate the inward force and acceleration for circular motion. Enter tangential speed or rotational frequency and compare the equivalent result.

Classical point-mass estimate for uniform circular motion. It does not model gravity, friction, string/track strength, changing speed, extended-body rotation, orbital mechanics or relativistic motion. The force is inward (centripetal), not an extra outward force. Use correct units and consult a qualified source for safety-critical designs. All calculations run locally; values are not uploaded or stored.

How do you calculate centripetal force?

Use F = m × v² ÷ r, where mass is in kilograms, speed in metres per second and radius in metres. A 2 kg object moving at 4 m/s on a 3 m radius needs about 10.67 N of inward force.

Frequently asked questions

How do you calculate centripetal force?

Use F = m × v² ÷ r, where mass is in kilograms, speed in metres per second and radius in metres. A 2 kg object moving at 4 m/s on a 3 m radius needs about 10.67 N of inward force.

Are my motion values uploaded?

No. The calculation runs in this browser. Your mass, radius and speed are not uploaded or saved by this tool.

What is the centripetal-force formula?

For a point mass moving in a circle at constant speed, F = m × v² ÷ r. The inward acceleration is v² ÷ r.

Can I enter RPM instead of speed?

Yes. Choose rotation rate and enter RPM or hertz. The tool converts it using v = 2π × radius × frequency.

Is centripetal force a real outward force?

The required centripetal force points inward toward the centre. An apparent outward centrifugal force is a description used in a rotating reference frame, not an extra inward-force input here.