Question

Pendulum clocks are made to run at the correct rate by adjusting the pendulum's length. Suppose you move from one city to another where the acceleration due to gravity is slightly greater, taking your pendulum clock with you, will you have to lengthen or shorten the pendulum to keep the correct time, other factors remaining constant? Explain your answer.
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Answer 1

Explanation:

answer.Since the time period of the simple pendulum is proportional to the ratio of the length to theacceleration of gravity. The length of the simple pendulum must be increased to show the correcttime.

Answer 2

Answer: The length of the simple pendulum must be increased to show the correct time.

Explanation:

The equation to find the time period of a simple pendulum is given as,

T=2π$\sqrt{\frac{L}{G} }$

Here,T ,L denotes the time period and length of the pendulum respectively.

Since the time period of the simple pendulum is proportional to the ratio of length to the acceleration due to gravity. So, if pendulum is placed in a city where acceleration is slightly greater than the value of g at the earlier place the length of the pendulum should be increased so that the ratio of length to the acceleration due to gravity remain unchanged.

Therefore, the length of the simple pendulum must be increased to show the correct time.

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