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A pendulum clock is taken to a repair shop. Its pendulum isreplaced by a shorter one

Chapter 1, Problem Question 3

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QUESTION:

A pendulum clock is taken to a repair shop. Its pendulum is replaced by a shorter one that oscillates with a smaller period than the original. What effect, if any, does this have on how the clock runs?

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QUESTION:

A pendulum clock is taken to a repair shop. Its pendulum is replaced by a shorter one that oscillates with a smaller period than the original. What effect, if any, does this have on how the clock runs?

ANSWER:

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In this problem, we have a broken pendulum clock. We took this clock to the repair shop and the pendulum of the clock was replaced by a shorter pendulum. As stated in the problem text, this shorter pendulum oscillates with a smaller period than it should. Note that the pendulum clock uses its pendulum to measure time. Since the period of oscillation of its pendulum is equal to some value T and never changes, if the pendulum clock counted the number of oscillations of its pendulum, and knowing the period of pendulum T, after applying this period to the mechanism of the pendulum clock, it could measure time by counting the number of oscillations of its pendulum.

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Review this written solution for 936355) viewed: 67 isbn: 9781133104681 | Inquiry Into Physics - 7 Edition - Chapter 1 - Problem Question 3

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