Uniform circular motion proportionalities

AI Thread Summary
The discussion revolves around understanding the relationships in uniform circular motion, particularly how frequency of revolution relates to centripetal force, radius, and mass. It is noted that frequency and radius have an inverse relationship, but further clarification on the other variables is needed. Participants are encouraged to derive equations for frequency based on tension, radius, and mass, and to compare these with a given net force equation. The investigation aims to illustrate Newton's laws of motion through the dynamics of a rubber stopper attached to a string. The thread also includes a request for deletion due to accidental posting, highlighting the user's frustration with the forum interface.
MiniTank
Messages
62
Reaction score
0
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:
\SigmaF = 4\pi^2mrf^2
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:
f=\sqrt{\frac{\SigmaF}{4\pi^2mr}}
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.
 
Physics news on Phys.org
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
 
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanged mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top