F15PH1113_lab_09_Abigail_Hundt_.docx

F15PH1113_lab_09_Abigail_Hundt_.docx - Abigail Hundt Imani...

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Abigail Hundt 11/02/17 Imani Walt & Kaitlyn Groves Simple Harmonic Motion Summary The objective of this experiment was to explore Hooke’s Law and evaluate the period of motion as functions of amplitude and mass. After experimentation, the spring constant was determined statically and dynamically for accuracy. Body Estimates of position, velocity, and acceleration for a mass on a spring Measurements of amplitude and period: Y max: 0.225 m -Y max: 0.122 m Mass: .250 kg T= 2π m g T=2 π 0.250 kg 9.8 m / s 2 T=2 π (0.1597) seconds
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Graphs: Period of motion as f(A) Controlled mass of .1 kg for all trials 0.12 0.14 0.16 0.18 0.2 0.22 0.24 0.26 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0.91 0.93 0.92 Period of motion as a function of amplitude Amplitude(meters) Period(seconds) Period of motion as f(m) Controlled amplitude 0.235m Mass (kg) Period (second s) Uncertain ty 0.1 0.926 ±0.007 0.12 0.977 ±0.0029 0.14 1.02 ±0.006 0.15 1.04 ±0.009 0.17 1.09 ±0.0007
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0.09 0.1 0.11 0.12 0.13 0.14 0.15 0.16 0.17 0.18 0 0.2 0.4 0.6 0.8 1 1.2 1.4 0.86 0.96 1.04 1.08 1.19 f(x) = 4.65x + 0.39 Period as a function of mass Mass(kg) Period^2(seconds) From the distance verse time graph period of motion and the spring constant were measured.
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