Question

crude approximation of voice production is to consider the breathing passages and mouth to be a esonating tube closed at one end. What is the fundamental frequency if the tube is 0.240 m long, by taking air temperature to be 37.0°C? Number 367 Hz What would this frequency become if the person's breathing passage was filled with carbon dioxide instead of air? Assume the same temperature dependence for carbon dioxide as for air Number 1070 Hz

Answer 1

A)

Velocity of sound, v = 331 sqrt(310/273) = 352.71 m/s

Frequency, f = 352.71/(4 x 0.24) = 367 Hz

B)

Velocity, v = sqrt(1.28 x 8.314 x 310/0.044) = 274 m/s

Frequency, f = 274/(4 x 0.24) = 285.42 Hz

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