How to Calculate g with Known Pendulum Length and Negligible Amplitude?

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Homework Help Overview

The discussion revolves around calculating the acceleration due to gravity (g) using the length of a simple pendulum, with the condition that the amplitude is negligible. Participants are exploring the relationship between pendulum length and gravitational strength.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for the period of a pendulum and how to manipulate it to express g in terms of length. There is also a question about whether the calculation should involve the period or solely the length.

Discussion Status

The conversation is ongoing, with participants questioning the assumptions behind the relationship between pendulum length and gravity. Some guidance has been offered regarding the formula, but there is no clear consensus on the approach to take.

Contextual Notes

There is a noted concern about the assumptions regarding how length relates to gravity, particularly in different gravitational environments, which may affect the interpretation of the problem.

Bibigul
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How to calculate g if amplitude of a simple pendulum is negligible and the length is known?




T=2π\sqrt{}l/g
 
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In terms of the period? Just solve for g in terms of T and L.
 
No, only in terms of L.
 
Check your problem:
Why should the length L depend on the strength of gravity? This is usually something you just cut to whatever length you like - 1m on Jupiter is the same as 1m on the moon... unless, I suppose, you are doing the measuring from a different gravity from the one the meter is in? (This forum I don't want to make too many assumptions!)
 

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