- #1
n3w ton
- 19
- 0
Homework Statement
Hi I'm doing a physics lab about uniform circular motion to measure frequency and to compare it to mass,radius and force tension.
(A & B) I did
(C,D, E) I need help
(a) What variables are being measured / manipulated in this lab? What type of relationship is being tested? (radius, mass, force tension/force causing centripetal force)
(b) Graph the relationship between the frequency of revolution and each of the following:
• the magnitude of the tension force [force causing the circular motion(centripetal force)]
• the radius of the circular path
• the mass of the object
**■→(c) Find the proportionalities between frequency of revolution and the variables in radius, mass, and force of tension/centripetal force.
**■→(d) Derive an equation for the frequency in terms of the tension, the radius, and the mass by combining your results from (c) and using your results from (b) to verify.
**■→(e) The following relationship gives the magnitude of the net force causing the acceleration of an object in uniform circular motion:
Fc = 4π²mrf²
Rearrange this equation to isolate the frequency. Compare this result with the equation you derived in (d). Indicate the likely causes for any discrepancies.
Data: http://i.imgur.com/dLpyP.png
Frequency vs Force Graph: http://i.imgur.com/fyFci.png
Frequency vs Mass Graph: http://i.imgur.com/GJ2ms.png
Frequency vs Radius Graph: http://i.imgur.com/JtxbR.png
Homework Equations
Fc = 4π²mrf²
The Attempt at a Solution
C) and D) I am stuck at
E)
Fc = 4π²mrf²
[itex]\sqrt{}\frac{Fc}{4π²mr}[/itex]