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Centrifugal force calculator

Calculate radial force and acceleration from mass, radius and speed, using either tangential velocity or angular velocity with inverse solve modes.

Calculator

Radial force magnitude
6
Radial acceleration
3
Equivalent Earth weight mass
0.61183

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How this calculator works

This page reports the outward apparent force in a frame rotating with the object. Both descriptions use the same magnitude for steady circular motion. Enter the radius of the actual path, measured from the rotation axis. The equivalent Earth weight mass divides force by standard gravity and is a comparison only; the object's inertial mass stays unchanged. The model does not include tangential acceleration.

Formula

F = m v²/r = m omega² r; a_r = F/m; equivalent Earth weight mass = F/9.80665.

Worked example

A 2 kg mass moving at 3 m/s on a 3 m radius circle requires a radial force of 6 N. At 2 rad/s, a 4 kg mass on a 3 m radius has radial force 48 N.

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Frequently asked questions

Which way does the force point?

It is away from the axis in the rotating frame. An inertial observer describes the required real net force as inward.

Why does doubling speed matter so much?

Force depends on speed squared, so doubling speed at unchanged radius and mass quadruples force.

Can I solve mass at zero speed?

No. Zero speed gives zero radial acceleration and does not determine mass from radial force.

Sources

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