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United Nations Pendulum A large pendulum with a 200-ib gold-plated both 12 inche

ID: 1514359 • Letter: U

Question

United Nations Pendulum A large pendulum with a 200-ib gold-plated both 12 inches in diameter is on display in the lobby of the United Nations building. The pendulum has a length of 75 ft. It is used to show the rotation of the Earth - for this reason it is referred to as a Foucault pendulum. 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/s^2 at the UN billing)

Explanation / Answer

I have converted 9.81 m/s^2 to 32.2 ft/sec^2

T/4 = /2(L/g) = /2(75/32.2) = 2.4 sec

T(max to center) = 4 x 2.4 = 9.6 sec

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