# Time period related to acceleration due to gravity

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The pendulum motion is caused by a restoring force whose whose tangential component is opposite to displacement in direction. The tension from the string, if any, would always be perpendicular to the path. When there is no such force to provide the restoring force, the type of oscillation you mentioned would not happen.

BTW, a kind reminder- Mathematics is powerful friend of Physics, and a reliable ally also, in most of the cases. (Just a metaphorical illustration LOL) To clearly understand a problem, perhaps it's best to start at the physics, instead of the mathematics, since the equations were derived for particular scenario (e.g. in the presence of certain fields), which might be fundamentally different from the scenario at hand.

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### Steffi

Updated on August 13, 2022

• Steffi 2 months

The period of a pendulum is given by $$T = 2\pi \sqrt{\frac{L}{g}}.$$ If we take a pendulum where there is no gravitational field, then $g=0$, therefore the period should become infinity. In such a condition what will our time relative to that of a person on earth will be? I believe that the time of a person will become too slow as it takes infinite time to complete one oscillation. Please tell me whether I am right or wrong, and if I am wrong please help me understand why.

• Hritik Narayan over 7 years
The infinite time period just indicates that the pendulum won't move at all.
• Time4Tea over 7 years
Just because a pendulum clock doesn't 'tick' in zero g doesn't mean that time stops.
• AV23 over 7 years
Adding to @Time4Tea's comment: does time stop when your watch runs out of battery?
• pentane over 7 years
This doesn't appear to address the question.
• Steffi over 7 years
Please can u tell me what will be the relative time of a person experiencing no gravitational field to that of a person living on earth
• Steffi over 7 years
How can it happen time and value of g are related
• Steffi over 7 years
Example on time on earth running different from a satellite orbiting the earth as both of them experience different g. That is time goes little faster for satellite.