A pendulum clock keeps correct time at sea level when taken to a place 1 km belo sea level
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Gravitational acceleration decreases with altitude. The time period of a simple pendulum varies inversely as the square root of the gravitational acceleration. Hence the pendulum's time period will increase. In other words, it will take more time to complete one cycle, and hencThe time perod for simple pendulum is inversely proportional to the square root of acceleration due to gravity.
Time period=2×pie×(l/g)^0.5
And acceleration due to gravity is inversely related to square of the distance from the center of the earth.
g=GM/r^2
Thus, higher the altitude, lesser the acceleration due to gravity, and greater the time period.And it will lose time.e it will lose time.
Time period=2×pie×(l/g)^0.5
And acceleration due to gravity is inversely related to square of the distance from the center of the earth.
g=GM/r^2
Thus, higher the altitude, lesser the acceleration due to gravity, and greater the time period.And it will lose time.e it will lose time.
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