Resonance in air column

Resonance in air column - LAB REPORT EXPERIMENT#4 RESONANCE...

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LAB REPORT EXPERIMENT #4 RESONANCE OF AN AIR COLUMN DATE PERFORMED: APRIL 29, 2007 DAEJIN (BRYAN) KIM LAB PARTNER: ALFONSO HERMANDEZ
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Procedure: In this lab experiment we investigate the speed of sound by observing the resonances of sound wves in a column of air. We are given an air column with a single frequency so that one mode of oscillation is excited. In a real instrument, the air column is presented with a rich sound containing many frequencies so that several modes are excited at once. Data: Antinode 288Hz 320Hz 384Hz 480Hz 512Hz 341.3H z 426.7H z Position s X1 (m) 0.275 0.155 0.0 0.162 0.091 0.076 0.275 X2 (m) 0.825 0.684 0.405 0.526 0.423 0.583 0.654 X3 (m) 0.846 0.886 0.754 X4 (m) Xave (m) 0.55 0.529 0.423 0.362 0.331 5 0.507 0.379 λ (m) 1.19 1.08 0.896 0.717 0.672 1.014 0.758 T(sec) = 1/f 0.003 5 0.003 1 0.002 6 0.002 1 0.001 9 0.0029 0.0022
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λ vs. T 0 0.2 0.4 0.6 0.8 1 1.2 1.4 0 0.0005 0.001 0.0015 0.002 0.0025 0.003 0.0035 0.004 T (sec) λ (m) Slope = speed of sound = 338 m/s Speed of sound in the room (calculated) 334 m/s
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Calculations: 1. First, we need to convert everything to the SI units for the lab. 2. We need to find our speed of sound so in order to do so we need the temperature on the day the lab was performed. We plug that into our equation, v= 331.4m/s + (0.6 m/s ‘C) (21 ‘C)
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