PHY 215 Lab_ #7_ Harmonic Motion Spring.docx - Laboratory#7 Simple Harmonic Motion Title Page Format(10 pt max Results and Discussion(65 pt max Data

PHY 215 Lab_ #7_ Harmonic Motion Spring.docx - Laboratory#7...

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Laboratory #7: Simple Harmonic MotionTitle Page & Format __ (10 pt. max)Results and Discussion __ (65 pt. max)Data & Graphical Presentation __ (20 pt max)Data Analysis __ (30 pt max)Description & Discussion of Results __ (15 pt max)Conclusions __ (20 pt. max)References __ (5 pt. max)Total Grade: ______ (100pt max) Results and DiscussionData and Graphical Presentation:Spring and Bracket #2Initial position of Lower end of spring, x0: 30.5cmTable 1: Elongation Data (Wide Spring)
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LoadPosition of Lower End(cm)Elongation, X (cm)Mass (G)Weight (N)100.0.98.409.5200.01.96.4918.5300.02.94.5928.5400.03.92.6837.5500.04.977.547Equation of Best Fit: y=10.423x+0.0007Slope of Best Fit Line: 10.42 N/mSpring Constant, kexpl: 10.42 N/mLinear Correlation coefficient squared, r2:.99 = 1Table 2. Oscillation Data (Wide Spring)Mass ofLoad (g)Amplitude(cm)Time for 25 Vibrations (s)AveragePeriod, TPeriodSquared, T2
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200.05.0023.223.323.28.93.87300.05.0027.4527.7727.631.111.22400.05.0031.4331.6031.501.261.59500.05.0034.7235.2235.101.401.96600.05.0038.1338.938.121.532.36200.010.0023.4523.4523.33.94.88Equation of Best Fit Line: 3.6916x+0.1244Slope of Best fit Line: 3.69 s2/ kgSpring Constant, kexpl:10.69 N/mLinear correlation coefficient squared, r2: .99 = 1Percent Difference in spring constants, kexplfor Table 2 vs Table 1: 2.59%Data Analysis:Part 1: Slope=Change in Force/Change in displacement=Force/change in displacement (N/m)Hooke’s Law- Force/Change in displacement=Spring Constant (k)
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Slope=kSlope =10.42 N/m--> k=10.42 N/m Part 2: K= 4π2/slopeK=4π2/(3.69 s2/ kg)= 10.69 N/m Percent Difference in spring constant(Table 2 vs Table 1): ((experimental-theoretical) / theoretical) x 100%((10.69 N/m - 10.42 Nm) / 10.42 N/m) x 100% = 2.59%
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