Apendulum with a period of 2. s in one location (g = 9.80 m/s^{2} 2 ) is moved to a new location where the period is now 1.99796 s. what is the acceleration due to gravity at its new location?

Acceleration due to gravity at new location will be

Explanation:

We have given time period of pendulum T = 2 sec

Acceleration due to gravity

Time period of pendulum is given by , here L is length and G is acceleration due to gravity

So ------eqn 1

In second case time period is 1.99796 sec

So --------eqn 2

Now dividing eqn 1 by eqn 2

Squaring both side

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