Magnitude of Coriolis Acceleration

Theorem

Let $B$ be a body in a rotating frame of reference $\FF$.

The magnitude of the Coriolis acceleration $\mathbf a$ on $B$ caused by the Coriolis force is given by:

$\size {\mathbf a} = 2 v \omega$ where:

$v$ is the magnitude of the velocity of $B$ relative to $\FF$

$\omega$ is the magnitude of the angular velocity of $\FF$ relative to an inertial frame.

Proof

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Sources

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