Angular Speed of Rotation of Plane of Oscillation of Foucault's Pendulum

Theorem

Let $P$ be a Foucault pendulum.

The angular speed of rotation $\alpha$ of the plane of oscillation of $P$ is given by:

$\alpha = \omega \sin \lambda$

where:

$\lambda$ denotes the latitude on Earth at which $P$ is located

$\omega$ denotes the angular speed of rotation of Earth.

Proof

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Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Foucault's pendulum
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Foucault's pendulum