Calculating Deflection of a Plumb Bob due to Rotation of Earth

[Destrio]

Because of the rotation of the Earth, a plumb bob may not hang exactly along the direction of the Earth's gravitational force on the plumb bob but may deviate slightly from that direction.
a) Show that the deflection A in radians at a point at latitude L is given by

A = sin2L[(2(pi^2)R)/(gT^2)]

where R is the radius of the Earth and T is the period of Earth's rotation.

b) At what latitude is the deflection a maximum? How much is this deflection?

c) What is the deflection at the poles? At the equator?



Any ideas of where I can start with this?

Thanks

 

[Kurdt]

Its always best to draw a diagram of these things first as you can right down several relationships which might get you going. What do you have so far?