Simple Pendulum / Rotational Kinematics

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SUMMARY

The discussion centers on the equation for a simple pendulum, specifically the relationship ω² = g/L, where ω represents the angular frequency, g is the acceleration due to gravity, and L is the length of the pendulum. Participants clarified that g is not the gravitational force but rather the acceleration of free fall. The importance of understanding ω as angular frequency was emphasized, and a resource for further derivation was provided from HyperPhysics.

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  • Understanding of rotational kinematics
  • Familiarity with the concepts of angular frequency
  • Basic knowledge of gravitational acceleration
  • Ability to manipulate and derive equations in physics
NEXT STEPS
  • Study the derivation of the simple pendulum equation from HyperPhysics
  • Learn about the relationship between angular frequency and period of motion
  • Explore the effects of varying pendulum length on oscillation frequency
  • Investigate the impact of gravitational acceleration on pendulum motion
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Students studying physics, educators teaching rotational kinematics, and anyone interested in the dynamics of simple pendulum systems.

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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