1 When you speak. your vocal cords emit a range of frequencies as they vibrate.
ID: 1382594 • Letter: 1
Question
1 When you speak. your vocal cords emit a range of frequencies as they vibrate. The sounds that are amplified are the natural resonances of your vocal tract. Although the vocal tract ?s quite complicated, we can make a simple model of it as an Open-dosed tube extending from the opening of the mouth to the diaphragm, the large muscle separating the abdomen and the chest cavity. a. What is the length of the vocal tract if its fundamental frequency equals a typical speech frequency of 200 Hz in air at 20 degrees Celsius? Does this result for the vocal tract length seem reasonable? b. Imagine now that you speak in the same way physically that you spoke in part a. but before speaking you breathe from a balloon filled with Helium, in which the speed of sound s much greater than in aw. Would the fundamental frequency of your vocal tract (the tube, not your vocal cords) be higher or lower than normal, or would it be unaffected by the helium?Explanation / Answer
The fundamental frequency of open closed pipe is
f= v/4L
L = v/4f
the speed of the sound at 20 degree celsius is
v = 331 m/s + 0.6 T
= 331 m/s + 0.6 ( 20)
=343 m/s
L = 343 m/s/ 2( 200 Hz)
=0.8575 m
yes it is reasonable
(b)
fundamental frequency is proportional speed of the sound if speed of sound is greter than fundamenatal
frequency also higher.
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