Can a simple pendulum vibrate at centre of earth?

A simple pendulum is transferred from earth to moon. Will it grow faster or slower?

Motion of a simple pendulum is an example for simple harmonic motion. The acceleration due to gravity on the surface of the moon is 1.7 m/s^2 .What is the time period of a simple pendulum on the moon,if its time period on the earth is 3.5 seconds ?

For a particle to leave from the earth's field, it should be projected with a minimum velocity. Find the period of a simple pendulum, if this experiment is performed inside a satellite?