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 T2 = 4π2L/g, where T is measured in seconds, g = 32.2 ft/sec2, 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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