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Experiment 24

# Experiment 24 - Experiment 24 The Speed of Sound in Air...

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Experiment 24 – The Speed of Sound in Air: Resonance Method (i) Equation 2 [λ = 4L/(2n – 1)] cannot really be derived, but can be proven by this experiment. (Dr. Placek said to be sure to note this). (ii) (iii) A pipe organ most closely represents this air column model. (iv) The experimental data vs. the theoretical values do not seem to give a specific trend in error- it gets larger, smaller, and the larger yet again. Table I shows number of resonant wave (n), theoretical resonance length found using Equation Four [L(m)], experimental resonance length [L(m)], and percent error. Table I Resonance Length Data for d(m) = 0.0025m Eq. (4) Expt. n L(m) L(m) % Err. 1 0.085 m 0.085 m 0.00% 2 0.255 m 0.243 m 4.71% 3 0.425 m 0.416 m 2.12% 4 0.595 m 0.580 m 2.52% 5 0.765 m 0.464 m 39.3%

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Calculations: L = [(2n – 1)V a ]/4f L = [(2(1) – 1)(340 m/s)]/[4(1000 Hz)] = 0.085 m L = [(2(2) – 1)(340 m/s)]/[4(1000 Hz)] = 0.255 m L = [(2(3) – 1)(340 m/s)]/[4(1000 Hz)] = 0.425 m L = [(2(4) – 1)(340 m/s)]/[4(1000 Hz)] = 0.595 m L = [(2(5) – 1)(340 m/s)]/[4(1000 Hz)] = 0.765 m
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Experiment 24 - Experiment 24 The Speed of Sound in Air...

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