Rotating Frame of Reference is Non-Inertial

Theorem

Let $F$ be a frame of reference.

Let $F$ be rotating.

Then $F$ is a non-inertial frame of reference.

A particle fixed in such a frame has a centripetal component of acceleration relative to an inertial frame.

Proof

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Sources

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