A A pendulum of length 1m and period 2.01 sec is placed at the top of the Mount Everst having an altitude of 8849 - Calculate the value of 9
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Answer: The value of g is 9.77 m/s²
Explanation:
Time period of a pendulum is dependent on its length and acceleration due to gravity. For a fixed length , we get different time periods when we take the pendulum to different heights as the acceleration due to gravity varies with height.
The relation between time period , length and acceleration due to gravity is given by :
T ⇒ Time period
L ⇒ Length of pendulum
g ⇒ Effective acceleration due to gravity at that place
Therefore,
Substituting values of Tand L,
g = 4π²/(2.01)²
g = 9.77 m/s²
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