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The period of a pendulum is given by the formula T = 2pi(L/G)^1/2 where L is the

ID: 3288144 • Letter: T

Question

The period of a pendulum is given by the formula T = 2pi(L/G)^1/2 where L is the length of the pendulum in feet, G = 32 ft/s^2 is the acceleration due to gravity, and T is the length of one period in seconds. A) If the Length of the pendulum is measured to be 3 feet long with a max error of 1/8th of an inch, what is the approximate max error in the period, T? B) Find the relative error in the period, in terms of the relative error in length. C) Find the relative error in the period, for part a Additional Note: Does the fact that the error is measured in inches while G and L are given in feet matter?

Explanation / Answer

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