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## Homework Statement

I'm doing a lab report for frequency vs centripetal force and frequency vs radius. I have two tables and I have found the equations for both the graphs. When I combine the equations, should I make another table and how would it look like?

## Homework Equations

f = c

^{0.5}

f = r

^{-1}

## The Attempt at a Solution

I have two tables:

Table 1: Centripetal Force and Frequency for a constant radius of 60.7 cm and constant rotations of 10

Centripetal Force (0.1 N) Time Required (0.1 s) Average time (s) Period (for 1 rotation) (s) Frequency (Hz)

Trial 1 Trial 2 Trial 3

0.5 9.17 9.47 9.56 9.40 0.940 1.06

1.0 6.03 6.16 5.89 6.03 0.603 1.66

1.5 5.68 5.69 5.63 5.67 0.567 1.76

2.0 4.86 4.90 4.82 4.86 0.486 2.06

2.5 4.55 4.59 4.53 4.56 0.456 2.19

3.0 4.35 4.21 4.36 4.31 0.431 2.32

Table 2: Radius and Frequency for a constant centripetal Force of 1 N and constant rotations of 10

Radius (0.5 cm) Time Required

(0.1 s) Average time (s) Period (for 1 rotation) (s) Frequency (Hz)

Trial 1 Trial 2 Trial 3

52.2 4.84 4.97 4.66 4.82 0.482 2.07

55.7 5.56 5.68 5.68 5.64 0.564 1.77

61.1 6.01 5.96 5.75 5.91 0.591 1.69

64.9 5.95 6.09 6.01 6.02 0.602 1.66

69.1 6.20 6.30 6.15 6.22 0.622 1.61

75.4 6.87 6.77 6.50 6.71 0.671 1.49