Time period formula-proof required

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Homework Help Overview

The discussion revolves around proving the formula for the time period of a pendulum, specifically T=2π√(l/g), where l represents the length of the pendulum and g is the acceleration due to gravity. The original poster expresses uncertainty about how to begin the proof and questions the independence of the period from the angle of displacement.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the original poster's lack of a starting point for the proof and the potential relevance of trigonometric functions. There is also a question regarding the relationship between the period and the angle of displacement.

Discussion Status

Some guidance has been offered, with participants encouraging the original poster to share their understanding and previous attempts. The discussion is ongoing, with multiple interpretations of the problem being explored, particularly regarding the angle's influence on the period.

Contextual Notes

The original poster indicates familiarity with calculus, which may influence the depth of discussion. There is a mention of a useful external link that provides additional context on pendulum motion.

IB1
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Hello everyone, I'm new here, sorry if I make mistakes. My english is poor.

Prove that :
[tex]T=2\pi \sqrt{\frac{l}{g}}[/tex]
where [tex]l[/tex] is length and [tex]g[/tex] is gravity

I hope you understand my question, else: I will try to write it again.
Thank you !
 
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Welcome to PF!

Hi IB1! Welcome to PF! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
Thank you tiny-tim, It's nice joining this forum.

As for the problem: Well, I don't know even how to start proving this. I was first thinking for any trigonometric solution but I can not understand how the period can be independent from the angle. Hope you understand to which angle I refer.

It is not necessary to give an own proof, a link would be good enough.
 
Last edited:
Hi IB1! :smile:

(just got up :zzz: …)

It's difficult to know how to help without knowing how advanced your knowledge is …

which part of the course is this in (for example, have you done calculus)?

Maybe this will help … http://en.wikipedia.org/wiki/Pendulum" :smile:
 
Last edited by a moderator:
Thank you, the link was useful. You understood what I was asking :) . As for Calculus, yes -I know Calculus.

It Seems that I was right, the period is not very independent from the angle [tex]\theta[/tex] .
 

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