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The Period of a Pendulum Is Given by the Formula π\pi

Question 61

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The period of a pendulum is given by the formula T = 2 π\pi Lg\sqrt { \frac { L } { g } }
, where L is the length of the pendulum in feet, g = 32 ft/ S2S ^ { 2 } is the acceleration due to gravity, and T is the length of one period in seconds. If the length of the pendulum is measured to be three feet long to within ±18\pm \frac { 1 } { 8 } inch, what is the approximate percentage error in the calculated period, T?

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