?For the following exercises, complete each task.The period T of a simple pendulum with

Chapter 4, Problem 205

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For the following exercises, complete each task.

The period T of a simple pendulum with small oscillations is calculated from the formula \(T=2 \pi \sqrt{\frac{L}{g}}\), where L is the length of the pendulum and g is the acceleration resulting from gravity. Suppose that L and g have errors of, at most, 0.5% and 0.1%, respectively. Use differentials to approximate the maximum percentage error in the calculated value of T.

Text Transcription:

T=2_pi_sqrt_frac_L/g

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