The period of a clock pendulum The period T of a clock

Chapter 3, Problem 27AAE

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Problem 27AAE

The period of a clock pendulum The period T of a clock pendulum (time for one full swing and back) is given by the formula where T is measured in seconds, and L, the length of the pendulum, is measured in feet. Find approximately

a. the length of a clock pendulum whose period is T = 1 sec

b. the change dT in T if the pendulum in part (a) is lengthened 0.01 ft.

c. the amount the clock gains or loses in a day as a result of the period’s changing by the amount dT found in part (b).

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