Centrifugal Force on Particle

Theorem

Let $P$ be a particle which is stationary in a rotating frame of reference which itself is rotating with constant angular velocity $\omega$.

Let the mass of $P$ be $m$.

Let $P$ be a distance $r$ from the axis of rotation of the frame of reference.

Then $P$ can be treated as a particle in an inertial frame of reference experiencing a radial centrifugal force of magnitude $m r \omega^2$.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): inertial force
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): inertial force