A large pendulum with a 200 lb gold-plated bob 12 inches in diameter is on displ

Question

A large pendulum with a 200 lb gold-plated bob 12 inches in diameter is on display in the lobby of the United Nations building. It is used to show the rotation of the Earth -- for this reason it is referred to as a Foucault pendulum. If the pendulum is 11.4 m in length, what is the least amount of time it takes for the bob to swing from a position of maximum displacement to the equilibrium position of the pendulum? (Assume that the acceleration due to gravity is g = 9.81 m/s2 at the UN building.) _____s

Explanation / Answer

T= 2pv(L/g) = 2pv(11.4/9.81) = 6.77 sec (full period) T(max to center) = T/4 = 1.693 sec Note that the mass of the bob is not used

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