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Lab 9 .docx - Lab#9 Standing Waves I Frequency Versus...

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Lab #9: Standing Waves
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I. Frequency Versus Number of Nodes String mass density: M total L total = 0.0025 kg 1.97 m = ¿ 0.00127 kg/m Tension: 4.9N Length: 1.5m Mode Number Frequency (Hz) 1 19.5 2 37.7 3 60.5 4 81.0 5 101.8 6 122.5 7 142.1 8 161.4 9 191.1 10 207.0 11 230.9 0 2 4 6 8 10 12 0 50 100 150 200 250 f(x) = 21.16x - 3.71 Plot I: Frequency as a Function of Mode Number Mode Number Frequency (Hz) Slope should equal to 1 2 L F μ Measured value of the slope = 21.16 Calculated value for the string’s mass density = 4.9 N [ 21.16 × 2 × 1.5 ] 2 = 0.00122 kg m
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II. Frequency Versus Tension String mass density: 0.00127 kg/m Mode: 4 Length: 1.5m Mass (kg) Tension (N) Frequency (Hz) 0.1 0.98 42.6 0.2 1.96 48.5 0.3 2.94 61.0 0.4 3.92 71.3 0.5 4.90 81.0 0.6 5.88 86.5 0.7 6.86 93.8 0.8 7.84 100.4 0.9 8.82 106.7 1.0 9.80 112.2 0.5 1 1.5 2 2.5 3 3.5 0 20 40 60 80 100 120 f(x) = 34.22x + 4.28 Plot II: Frequency as a Function of Squared Root of Tension Squared root of tension (N1/2) Frequency (Hz) slope should equal to n 2 L 1 μ Measured value of the slope = 34.22 Calculated value for the string’s mass density = 1 [ 34.22 × ( 2 × 1.5 m ) 4 ] 2 = 0.00152 kg m
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III: Frequency Versus Length String mass density: 0.00127 kg/m Tension: 4.9N Mode: 4 Length (m) Frequency (Hz) 0.50 200.7 0.75 149.7 1.00 119.4 1.25 100 1.50 81.0
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