Lab 2 Part 2 - Data and Calculations: Vibrating String...

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Data and Calculations: Vibrating String Length of String L = 0.98 m Mass per Unit Length of String μ = 2.92E-04 kg/m Acceleration of Gravity g = 9.81 m/sec 2 Frequency f = 120 1/sec n m (kg) n 2 1/m (1/kg) First Harmonic 1 1.35 1 0.740741 Second Harmonic 2 0.35 4 2.857143 Third Harmonic 3 0.15 9 6.666667 Fourth Harmonic 4 0.05 16 20 Fifth Harmonic 5 omit 25 Graph 1 Harmonic Squared vs. 1/ mass n^2 = 0.7369(1/m) + 1.9247 0 5 10 15 20 25 30 0 5 10 15 20 25 1/m (1/kg) n 2 (4f 2 L 2 μ)/g = 1.646601 Slope = 0.7369 Percent Difference = [Theoretical Value – Measured Value]/[Theoretical Value] x 100% = [1.646601 – 07369]/[1.646601] x 100 = 55.25%
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Sound Resonance Temperature, ˚C 25 Theoretical Speed of Sound, m/sec 346.4 Radius of Tube, m 0.015 Theoretical End Correction, L ec , m 0.009 Tuning Fork #1 #2 #3 Frequency, Hz 250 320 512 Calculated Wavelength, m 1.385 1.0825 0.6765 Calculated 1/4 Wavelength, m 0.34625 0.270625 0.169125 L (m) ∆L (m) L(m) ∆L (m) L (m) ∆L (m) Position of First Resonance, m 0.34 0.26 0.16 Position of Second Resonance, m 1.023 0.683 0.792 0.532 0.47 0.31 Position of Third Resonance, m
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This note was uploaded on 04/07/2009 for the course PHYSICS 232 taught by Professor Mannella during the Spring '08 term at University of Tennessee.

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Lab 2 Part 2 - Data and Calculations: Vibrating String...

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