A simplified version of our voice production system consists of considering the

Question

A simplified version of our voice production system consists of considering the breathing passage and the mouth to be a tube closed at one end.

(a) Determine the frequency of the fundamental (to the nearest Hertz) if the simulation tube is 0.237 m long and the air temperature to be 35.0°C. The speed of sound in air at 0°C is 331 m/s. Answer in Hz

(b) Assuming that the temperature dependence for helium is the same as for air, determine the frequency of the fundamental (to the nearest Hertz) if the air is replaced by helium. The speed of sound in helium at 0°C is 965 m/s.

Explanation / Answer

a) Use equation,

f = nv/4L

Plugging valus,

f1 = (1*331)/(4*0.237) = 349 Hz

b) f = nv/4L

Plugging valus,

f1 = (1*965)/(4*0.237) = 1018 Hz

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