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Q. 17

Expert-verified
Found in: Page 483

### Physics for Scientists and Engineers: A Strategic Approach with Modern Physics

Book edition 4th
Author(s) Randall D. Knight
Pages 1240 pages
ISBN 9780133942651

# 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 .

See the 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 .