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

AI Thread Summary
To calculate the acceleration due to gravity (g) using a simple pendulum with negligible amplitude, the formula T=2π√(L/g) can be rearranged to solve for g in terms of the period (T) and length (L). It is emphasized that the length of the pendulum does not inherently depend on the strength of gravity, as 1 meter remains 1 meter regardless of the gravitational field. The discussion highlights the importance of understanding the relationship between period, length, and gravity without making assumptions about the measuring conditions. The focus is on deriving g accurately based on known parameters. Accurate calculations are essential for understanding pendulum dynamics in different gravitational environments.
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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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