Theory and ExamplesTemperature and the period of a

Chapter 3, Problem 103E

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QUESTION:

Problem 103E

Theory and Examples

Temperature and the period of a pendulum For oscillations of small amplitude (short swings), we may safely model the relationship between the period T and the length L of a simple pendulum with the equation  Assuming this to be the case, show that the rate at which the period changes with respect to temperature is kT/2

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QUESTION:

Problem 103E

Theory and Examples

Temperature and the period of a pendulum For oscillations of small amplitude (short swings), we may safely model the relationship between the period T and the length L of a simple pendulum with the equation  Assuming this to be the case, show that the rate at which the period changes with respect to temperature is kT/2

ANSWER:

Solution:

Step 1 of 4:

In this question, we have to show that the rate at which the period changes with respect to temperature is

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