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A crude approximation of voice production is to consider the breathing passages and mouth to be a resonating tube closed at one end. What is the fundamental frequency if the tube is 0.203-m long, by taking air temperature to be 37.0ºC?

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boffeemadrid

Answer:

435.467980296 Hz

Explanation:

T = Temperature = 37.0ºC

L = Length of the tube = 0.203 m

Speed of sound at a specific temperature is given by

[tex]v=331.4+0.6\times T\\\Rightarrow v=331.4+0.6\times 37\\\Rightarrow v=353.6\ m/s[/tex]

Frequency is given by (one end open other end closed)

[tex]f=\dfrac{v}{4L}\\\Rightarrow f=\dfrac{353.6}{4\times 0.203}\\\Rightarrow f=435.467980296\ Hz[/tex]

The fundamental frequency is 435.467980296 Hz

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