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Q. 17

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
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Short Answer

We can make a simple model of the human vocal tract as an open-closed tube extending from the opening of the mouth to the diaphragm. What is the length of this tube if its fundamental frequency equals a typical speech frequency of 250 Hz? The speed of sound in the warm air is 350 m/s.

The length of the tube from the opening of the mouth to the diaphragm is .

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Step by Step Solution

Given information

The fundamental frequency is .

The speed of sound in warm air is .

The length of the tube

For the open-closed tube, possible frequencies are

For a fundamental frequency of , the length of the vocal tract is

Therefore, the length of the tube is .

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