Pendulum swing from 1deg to 2 deg

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    Pendulum Swing
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Homework Help Overview

The discussion revolves around the behavior of a pendulum, specifically examining the relationship between the amplitude of the swing and the period of oscillation. The original poster presents a scenario where a pendulum swings through arcs of 1 degree and 2 degrees, questioning whether the time period remains the same for both amplitudes.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula for the period of a pendulum and questions the influence of amplitude on the period. Some participants reference real-life observations of swings to support their reasoning about the period being independent of amplitude.

Discussion Status

Participants are exploring the concept of pendulum motion, with some confirming the original poster's assertion that the period does not depend on the amplitude for small angles. The conversation reflects a mix of personal experience and theoretical understanding, with no explicit consensus reached.

Contextual Notes

The discussion includes references to practical experiences with swings, suggesting a blend of theoretical and experiential learning. There is an underlying assumption that the pendulum's motion is being analyzed under the conditions of small angles, though this is not explicitly stated.

Kaxa2000
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A pendulum swings through a maximum arc of one degree in 1 sec. Later, the pendulum is made to swing through a max of 2 degrees. What is the time required for the 2 degree arc?

T = 2pi(L/g)^(1/2)

Is the time the same since the swing depends on only the length and gravity due to acceleration?
 
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Hi there,

Have you never used a swing a kid, and noticed that the period is the same whether you rock just a bit or whether you make the whole structure jump around. This is a real life problem. Now if you want to have a mathematical model that explain that, you gave the equation, in which the amplitude of the movement is not involved in the period.

And it works. Mathematical modeling can explain a real life problem. YEAH!

I did not sutdy all these years for nothing.

Just kidding about the last part.

Cheers
 
Kaxa2000 said:
Is the time the same since the swing depends on only the length and gravity due to acceleration?
Yes.
 
Thanks for the confirmation :smile:
 

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