Pendulum The period of a pendulum is given by 7, T = 2n where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by %. (a) Find the approximate percent change in the period. (b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.

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Pendulum The period of a pendulum is given by
7,
T = 2n
where L is the length of the pendulum in feet, g is the
acceleration due to gravity, and T is the time in seconds. The
pendulum has been subjected to an increase in temperature
such that the length has increased by %.
(a) Find the approximate percent change in the period.
(b) Using the result in part (a), find the approximate error in
this pendulum clock in 1 day.
Transcribed Image Text:Pendulum The period of a pendulum is given by 7, T = 2n where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by %. (a) Find the approximate percent change in the period. (b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.
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