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Although the vocal tract is quite complicated, we can make a simple model of it as an open-closed tube extending from the opening of the mouth to the diaphragm, the large muscle separating the abdomen and the chest cavity. What is the length of this tube if its fundamental frequency equals a typical speech frequency of 200 Hz? Assume a sound speed of 350 m/s. Does this result for the tube length seem reasonable, based on observations on your own body?

Respuesta :

Answer: L = 0.4375m, the from observations, the length seem too long.

Explanation: Since the voice tract has been modeled to be an open close tube, then the length of pipe and wavelength is related by the formulae

L = λ/4, hence λ = 4L

But v = 350m/s, f = 200Hz and λ=4L

But v = fλ

350 = 200 * 4L

350 = 800* L

L = 350/800

L = 0.4375m

The average length of an human voice tract is between 0.169m ( 16.9cm) for male and 0.141m (14cm) for female.

Comparing this to L = 0.4375m (43.75m) means that this model for the human voice tract is very long compared to the average.

Thus the fundamental note produced won't be at 200Hz