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Will a clock at the equator run slightly faster or

Chapter 18, Problem 20E

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QUESTION:

Will a clock at the equator run slightly faster or slightly slower than an identical clock at one of Earth’s poles?

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QUESTION:

Will a clock at the equator run slightly faster or slightly slower than an identical clock at one of Earth’s poles?

ANSWER:

Solution Step 1 of 2 Here we shall consider a pendulum clock, The time period, T of the pendulum swing is l T= 2 g Where l is the length of pendulum and g is acceleration due to gravity. As earth is rotating, earth is not perfect sphere but it is a bulged sphere. It is flatten at the poles(radius is less) whereas it is bulged at equator(radius if more). As in figure below,

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