Uniform circular motion proportionalities

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Homework Help Overview

The discussion revolves around a lab assignment focused on uniform circular motion, specifically examining the relationships between frequency of revolution and various factors such as centripetal force, radius, and mass. The original poster expresses difficulties in understanding these relationships and how to represent them graphically and mathematically.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to identify the relationships between frequency and other variables, noting an inverse relationship between frequency and radius. They express uncertainty regarding the effects of mass and centripetal force. They also seek guidance on sketching graphs and deriving equations related to frequency.

Discussion Status

The discussion is ongoing, with the original poster actively seeking help on multiple aspects of the problem. Some participants have responded to requests for assistance, but there is no explicit consensus or resolution yet. The original poster has indicated specific areas where they need clarification and guidance.

Contextual Notes

The original poster mentions that they may provide results if needed, suggesting that data points are available but not currently shared. There is also a note about the complexity of the task, indicating that it encompasses multiple concepts from Newton's laws of motion.

MiniTank
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I have a lab with which I am having some major difficulties.

(a) Whats the relationship between frequency of revolution and
- the magnitude of the force causing the circular motion(centripetal force)?
- the radius of the circular path?
- the mass of the object?
(b) Sketch three graphs to illustrate your answer to (a)
(c) Find the proportionalities between frequency of revolution and the variables in (a)
(d) cominge the three results from (c) to obtain the equation for frequency in terms of the tension, the radius, and the mass. check your equation using your data points
(e) The following relationship gives the magnitude of the net force causing the acceleration of an object in uniform circular motion:
[tex]\SigmaF = 4\pi^2mrf^2[/tex]
Rearrange this equation to isolate the frequency. Compare this result with the equation you derived in (d). Indicate the likely causes for any discrepancies.
(f) Draw a FBD for the rubber stopper***
(g) Explain how this investigation illustrates all three of Newton's laws of motion.

***the rubber stopper is attatched to a string which goes through a hollow tube which is attached to weight .. you twirl the stopper from the tube

Heres what I know
(a) the frequency and radius have an inverse relationship
.. the other variables I am not sure
(b) i know what the graph looks like for radius:
|
|
|
\_________
.. something like that
(c) same as above
(d) I need help with
(e) I can rearrange the equation to:
[tex]f=\sqrt{\frac{\SigmaF}{4\pi^2mr}}[/tex]
the next part is hard to do without (d)
(f) I think it has a Tension force going to the left or right, and a Force of gravity, not sure.
(g) Could maybe figure this out after knowing the other answers.

If you need my results just ask, but I doubt you do.

Thanks

BTW i know its a lot but any help would be appreciated.
 
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could someone delete this thread .. i accidentally pressed post instead of preview.. thanks
 
Delete it yourself by clicking edit and selecting the first options.
 
i want to delete the whole thread, not just the post... b/c it is a re-post .. the proper one has the same title .. you can't delete threads
 

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