Question
Can a pendulum clock be used in an earth satellite?

Answer

No. According to the relation:$\text{T}=2\pi\sqrt{\frac{\text{l}}{\text{g}}}$
The time period of the pendulum clock depends upon the acceleration due to gravity. As the earth-satellite is a free falling body and its g (effective acceleration due to gravity) is zero at the satellite, the time period of the clock is infinite.

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