Equation for the Period of a Pendulum

  • Thread starter Thread starter Spoon.
  • Start date Start date
  • Tags Tags
    Pendulum Period
Click For Summary

Homework Help Overview

The discussion revolves around the equation for the period of a pendulum, specifically T = 2π√(l/g). The original poster seeks clarification on the derivation of this equation and its implications, particularly in relation to plotting Log T vs Log L.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster asks for an explanation of the derivation of the pendulum period equation. Another participant raises a question about the significance of the slope obtained from a Log T vs Log L graph, indicating a potential relationship between length and period.

Discussion Status

Some participants have provided links for further reading, while others are exploring the implications of the slope from the logarithmic graph. There is an ongoing inquiry into the relationship between the variables involved, but no consensus has been reached regarding the derivation or the significance of the slope.

Contextual Notes

The original poster expresses confusion after researching the derivation, indicating a need for clearer explanations. The second participant's question about the slope suggests a focus on understanding the mathematical relationship rather than deriving the original equation.

Spoon.
Messages
5
Reaction score
0
Hey, I know that the equation to find the period of a pendulum is

T = 2\pi\sqrt{\frac{l}{g}}

and my question is how exactly did they derive this? I've done some research and it confused me even more, can someone please explain the procedure to derive this equation?

Thanks.
 
Last edited:
Physics news on Phys.org
Ok I got that figured out. Thanks so much!

But I have another question...

I am to plot Log T vs Log L, where L is length of the pendulum and T is the period. I graphed this and found the slope to be around 0.404. What is significant about this slope and how does it show the relationship between L and T?

I think I'm suppose to find the equation of the line?

Thanks.
 
Last edited:
Take the log of both sides of the Simple Pendulum equation, what is the slope of the line?
 

Similar threads

  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
2K
  • · Replies 11 ·
Replies
11
Views
3K