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

Alysha A.
Took a long time but I finally got it :) thanks tho!10/24/20