Physics Help for a Lab

Question

1. Derive an equation for the frequency in terms of the tension, the radius, and the mass by combining your results from graphing. (1 mark)

2. The equation Fc = 4π^2mrf^2 gives the magnitude of the net force causing the acceleration of an object in uniform circular motion.

a. Manipulate the equation to solve for frequency. How does this compare with your results from (2)? (1 mark)

b. What are the most likely causes for any discrepancies? (1 mark)

Data Given:

Washer’s Mass (kg)	Times (s) ±	Frequency (Hz) ±
0.05	20.0 ± 0.2	0.5 ± 0.01
0.11	13.6 ± 0.2	0.74 ± 0.01
0.26	8.8 ± 0.2	1.14 ± 0.02
0.35	7.6 ± 0.2	1.32 ± 0.03

Radius (m) ±	Times (s) ±	Frequency (Hz) ±
2.0 ± 0.1	20.0 ± 0.2	0.50 ± 0.01
1.8 ± 0.1	18.9 ± 0.2	0.53 ± 0.01
1.0 ± 0.1	14.2 ± 0.2	0.70 ± 0.01
0.5 ± 0.1	10.0 ± 0.2	1.0 ± 0.02

(Force of Tension) Moving Mass (kg)	Times (s) ±	Frequency (Hz) ±
0.025	20.0 ± 0.2	0.50 ± 0.01
0.075	34.8 ± 0.2	0.29 ± 0.01
0.095	39.1 ± 0.2	0.26 ± 0.01
0.15	49.3 ± 0.2	0.20 ± 0.004

Answer 1

Could you please give a description of your laboratory apparatus? This lab seems like it might be a version of a classic centripetal force lab involving an unknown mass swung around on a string with washers tied on the other end, but I would need to confirm that to offer any help.