Experiment 2 Mass (kg) Amplitude (m) Time for 10 cycles Period (s) f (Hz) x=1/m f^2 0.574 1.74216028 20 3.03512244 0.812 1.23152709 10 1.51665898...
Question

This is a simple harmonic motion question. Using the reaction time of 0.2 seconds, what is the uncertainty in the period T, (time), measurement? The spring constant K = 5.9985. Please show your work, thank you!

Image transcriptions

Experiment 2 Mass (kg) Amplitude (m) Time for 10 cycles Period (s) f (Hz) x=1/m f^2 0.05 0.2 5.74 0.574 1.74216028 20 3.03512244 0.1 0.2 8.12 0.812 1.23152709 10 1.51665898 0.15 0.2 10.18 1.018 0.98231827 6.66666667 0.96494919 0.2 0.2 11.45 1.145 0.87336245 5 0.76276196 0.25 0.2 12.8 1.28 0.78125 4 0.61035156 0.3 0.2 14.14 1.414 0.70721358 3.33333333 0.50015105 Slope =0.1521 K = 0.1521*4*(3.14^2) 0.1521 5.99858064 The Relationship of Frequency vs. Mass 3.5 w y = 0.1521x - 0.0106 2.5 N Mass (x=1/m) 1.5 0.5 0 0 5 10 15 20 25 Frequency (f^2)

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