Simple Pendulum / Rotational Kinematics

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Discussion Overview

The discussion centers around the equations governing the motion of a simple pendulum, specifically focusing on the expression for angular frequency, ω² = g/L. Participants seek clarification on the derivation and terminology related to this equation.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about the origin of the equation ω² = g/L and requests further explanation.
  • Another participant suggests that ω should be understood as the angular frequency of the motion.
  • A participant corrects the terminology, stating that g refers to the acceleration of free fall, not gravitational force.
  • There is a reference to an external resource for a derivation of the equation.

Areas of Agreement / Disagreement

Participants generally agree on the definition of g and the interpretation of ω, but the discussion remains unresolved regarding the specific derivation of the equation.

Contextual Notes

There are indications of missing assumptions related to the derivation of the equation, and the discussion does not clarify the conditions under which the equation applies.

llauren84
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I was just wondering where this comes from. Our professor was giving a lesson on the simple pendulum in the lab class. I copied all of the equations and how he manipulated then I understood, except for this part. I forgot to ask after class, but if you can explain it or want more relative info, let me know. Thanks so much! =)

ω2=g/L

Where ω is the rotational velocity (or speed...I don't know which is the correct way to say this), g is the gravitational force and L is the length of the pendulum.

Thanks.
 
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Also g is the acceleration of free fall, not gravitational force.
 
Razzor7 said:
Also g is the acceleration of free fall, not gravitational force.
Thanks! I forgot.

Doc Al said:
It's best to think of ω as the angular frequency of the motion. For a derivation, see this: http://hyperphysics.phy-astr.gsu.edu/HBASE/pend.html#c3"

Thanks! That helped.

I realize I should have put this in the homework help section...
 
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