Experiment 1 - Simple Harmonic Motion: Equation of Motion Phase and Energy

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Professor Blanco PHYC-241-3435 Experiment 1 - Simple Harmonic Motion: Equation of Motion, Phase, and Energy Summary Table Mass used = 0.500kg Part A:Estimates of period from direct timing: Period T= 1.55 ± 0.01s Angular Frequency ω= 4.05 ± 0.01rad s . Part B:Estimated amplitude A= 0.172m, Estimated initial phase angleΦ= 2.184rad. Part B estimate of equation of motion: x= 0.172cos(4.05t + 2.184). Part C: From the 5 times sampled: Calculated A= 0.1673 ± 0.0001m, φ= ± radian. Part C estimate of equation of motion: x= 0.1673cos(4.05t +2.23). Part D:Vernier Software best-fit sinusoidal equation of motion: x= 0.169cos(3.998t +2.355). Conclusions In this experiment, we oscillated a weight on a spring to observe simple harmonic motion and to estimate an equation of motion. We observed the characteristics of waves such as amplitude, period, angular frequency, and initial phase angle. The sources of random errors in our experiment include the old condition of the motion detector and the misshapen condition of the
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