Infinite Time Period of Simple Pendulum at Center of Earth

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Discussion Overview

The discussion revolves around the behavior of a simple pendulum at the center of the Earth, specifically addressing the implications of gravitational acceleration being zero (g=0) on the pendulum's time period. Participants explore the concept of an infinite time period in this context.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant states that at the center of the Earth, gravitational acceleration (g) is zero, leading to an infinite time period for the pendulum's oscillation.
  • Another participant points out that if g=0, the equation for the time period becomes undefined, suggesting that without gravity, the pendulum would not oscillate but rather float.
  • A further question is raised about the implications of no gravitational force on the pendulum's motion and how long it would take to swing in such a scenario.

Areas of Agreement / Disagreement

Participants express differing views on the implications of zero gravity for the pendulum's behavior, with no consensus reached on the nature of its motion or time period.

Contextual Notes

The discussion does not resolve the mathematical implications of the time period equation when g=0, nor does it clarify the assumptions regarding the pendulum's motion in a zero-gravity environment.

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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