The period T of a clock pendulum(time for one full swing and back) is given by the formulaT2 = 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 the amount the clock gains or loses in a day as a result of the period’s changing by the amount dT

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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 the amount the clock gains or loses in a day as a result of the
period’s changing by the amount dT

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