Finding the angle in a Uniform Circular Motion problem?

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SUMMARY

This discussion centers on calculating the angle (theta) in a Uniform Circular Motion problem involving a simple pendulum with specified mass, length, and velocity. Participants suggest using quadratic equations and basic force formulas to derive theta. The conversation highlights the importance of understanding the relationship between velocity and angle, particularly when the angle is not explicitly provided in a problem statement. The need for clarity in problem definitions is emphasized, especially in academic settings.

PREREQUISITES
  • Understanding of Uniform Circular Motion principles
  • Familiarity with pendulum dynamics
  • Knowledge of quadratic equations
  • Basic concepts of force and motion in physics
NEXT STEPS
  • Study the derivation of theta as a function of time in pendulum motion
  • Learn how to apply quadratic equations in physics problems
  • Explore the relationship between maximum velocity and angle in pendulum dynamics
  • Investigate advanced techniques for analyzing pendulum motion
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Students studying physics, educators teaching mechanics, and anyone interested in understanding pendulum motion and its mathematical implications.

daniiela
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1. Alright say you have a simple pendulum with given mass, length, and velocity (I think.. correct me if I'm wrong) ... how would I go about calculating theta (in degrees)?



2. I'm assuming the quadratic eq will have to be used? Among a couple of the simple force formulas.



3. I just took a test with this on it and I was prepared to calculate the velocity with a given angle. Boy was I surprised to see no angle and one of the first questions was to calculate it.


Dieing to figure it out.. I obviously can't go back and fix what I did on the test but atleast I can feel confident knowing if I ever see this problem or something similar to it I will know what to do. =)
 
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Welcome to PF,

Hmm. So I guess you cannot give us the exact problem statement because you do not have it in front of you. That's really too bad because it's not totally clear what the question is asking. I mean the pendulum is swinging, right? So the angle of the pendulum changes depending upon when you look. We say that theta is a function of time. I know a method that can be used to figure out the expression for theta vs. time, but I suspect that is a bit advanced for the level at which you are studying physics.

If the question is, at what angle was the pendulum released, then I think you can figure that out provided that the velocity you have been given is the maximum velocity. Is that what is going on here?
 

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