Speed of Sound - Resonance Tube Room Temp: 23 degrees cel Tuning Fork A: Stamped

Question

Speed of Sound - Resonance Tube

Room Temp: 23 degrees cel

Tuning Fork A:

Stamped Freq, f (Hz) = 480

Length of Tube, L0 (m) = 16.4 cm

Length of Tube, L1 (m) = 541.7 cm

Turning fork B

Stamped freqency, f (Hz) = 2048

Length of Tube, L0 (m) = 18.5

Length of Tube, L1 (m) = 28.5

Questions:

Tuning Fork A

Calculate the wavelength of the sound wave.
A =  

Calculate the error in wavelength measurement. (Hint: Use = 2(L0 + L1) for your calculation.)
A =  

Calculate the experimental speed of sound.
vA =  

Calculate the error in speed measurement.
vA =  

Tuning Fork B

Calculate the wavelength of the sound wave.
B =   

Calculate the error in wavelength measurement. (Hint: Use = 2(L0 + L1) for your calculation.)
B =   

Calculate the experimental speed of sound.
vB =  

Calculate the error in speed measurement. (Hint: Use v = f for your calculation.)
vB =  

Average Speed of Sound

Calculate the average experimental speed of sound.
vavg =  

Calculate the error in average experimental speed of sound. (Hint: Use vavg =

vA + vB

2

for your calculation.)
vavg =  

Calculate the percent fractional discrepancy from the theoretical speed of sound.
Ptheo =

vA + vB

2

Explanation / Answer

Tuning fork A:

Wavelengh of sound = 2 * (L2-L1) = 2*(525.3) = 1050.6 cm

error in wavelength delta_lambda = 2(0.1+0.1) = 0.4 cm

Speed of sound = Lambda * f = 480 * 1050.6 = 504.2 m/s

Error in speed delta _v = (delta_lambda * f)

                                 = 0.4cm * 480 =1.92 m/s

Tuning fork B:

wavelenth = 2 * (10) = 20 cm =0.2 m

Error in wavelenth = 2*(0.1+0.1) = 0.4 cm

speed of sound = 0.2 * 2048 = 409.6 m/s

Error in speed = 0.4 cm * 2048 = 8.1 m/s

average speed V _avg = 456.9 m/s

Error in speed measurement delta_V avg = 5 m/s

fractional discrepancy from theoritical sppeed of sound = (456.9 - 345.3)/345.3*100 = 32.3%

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