Exercise from Goldstein's Classical Mechanics, 3rd
edition. Chapter 4 "The Kinematics of Rigid Motion".
I hope...
The Foucault pendulum experiment consists in setting a long pendu- lum in motion at a point on the surface of the rotating Earth with its mo- mentum originally in the vertical plane containing the pendulum bob and the point of suspension. Show that the pendulum's subsequent motion may be described by saying that the plane of oscillation rotates uniformly 2? cos ? radians per day, where (is the co-latitude. What is the direction of rotation? The approximation of small oscillations may be used, if desired.