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When a pendulum with a period of 2.00000 s is moved to a new location from...

When a pendulum with a period of 2.00000 s is moved to a new location from one where the acceleration due to gravity was 9.80 m/s2, its new period becomes 1.99894 s. By how much does the acceleration due to gravity differ at its new location?

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Answer #1

Time period T of a pendulum is inversely proportional to the square root of the acceleration due to gravity at that place i.e.,

Hence, for two different places we must have,

So, change in acceleration due to gravity is

This is by how much the acceleration due to gravity at the new place differs.

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