 #1
MiniTank
 62
 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) combine 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]\sum F = 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{\sum F}{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.
(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) combine 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]\sum F = 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{\sum F}{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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