Angular Speed of Particle in Circular Motion at Constant Speed

Theorem

Let $P$ be a particle moving in a circle of radius $r$ at constant speed.

The angular speed $\omega$ of $P$ is given by:

$\omega = \dfrac v r$

Proof

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Sources

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