Centrifugal Force on Particle
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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