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Physics & engineering

Centripetal force

Centripetal force: The inward force needed for uniform circular motion is F = mv²/r.

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How it works

The inward force needed for uniform circular motion is F = mv²/r.

Input definitions

Mass (kg)
Enter the value in the labeled unit.
Tangential speed (m/s)
Enter the value in the labeled unit.
Path radius (m)
Enter the value in the labeled unit.

A worked example

Mass (kg)
2
Tangential speed (m/s)
3
Path radius (m)
1
18

Assumptions & limits

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Does this force act along the direction of travel?

No. Centripetal force points toward the centre of the circular path and is perpendicular to the instantaneous tangential velocity.

How does Centripetal force work?

The inward force needed for uniform circular motion is F = mv²/r.

What should I check before using Centripetal force?

Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.

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