Infinite Time Period of Simple Pendulum at Center of Earth

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At the center of the Earth, gravitational acceleration (g) is zero, leading to an infinite time period (T) for a simple pendulum, as calculated by the formula T=2π√(L/g). This means that if g equals zero, the pendulum cannot oscillate, effectively rendering its period undefined or infinite. Without gravitational force, the pendulum would not swing but rather float in place. The discussion emphasizes that the concept of time period becomes irrelevant in a zero-gravity scenario. Therefore, a pendulum at the Earth's center does not exhibit oscillatory motion.
Mr royal
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In the center of earth, g=0,

T=2*3.14*√(L/g) =∞

question: what do you mean by the "infinite time period"? and explain the situation of simple pendulum at the center of earth
 
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in your equation you're dividing by g, and if g = 0 then its infinite or undefined... basically if there is no gravity, the pendulum will not oscillate. It will just float there, hence infinite period
 
If there is no gravitational force to pull the pendulum down how long will it take to swing?
 
thanks all
 
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