Solution Found!
Unless indicated otherwise,
Chapter 16, Problem 27E(choose chapter or problem)
Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.
BIO The Human Voice. The human vocal tract is a pipe that extends about 17 cm from the lips to the vocal folds (also called “vocal cords”) near the middle of your throat. The vocal folds behave rather like the reed of a clarinet, and the vocal tract acts like a stopped pipe. Estimate the first three standing-wave frequencies of the vocal tract. Use v = 344 m/s. (The answers are only an estimate, since the position of lips and tongue affects the motion of air in the vocal tract.)
Questions & Answers
QUESTION:
Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.
BIO The Human Voice. The human vocal tract is a pipe that extends about 17 cm from the lips to the vocal folds (also called “vocal cords”) near the middle of your throat. The vocal folds behave rather like the reed of a clarinet, and the vocal tract acts like a stopped pipe. Estimate the first three standing-wave frequencies of the vocal tract. Use v = 344 m/s. (The answers are only an estimate, since the position of lips and tongue affects the motion of air in the vocal tract.)
ANSWER:Solution 27E
Step 1:
The relationship between the length “L” and the wavelength “𝛌” of a closed end pipe is,
𝛌n = 4L /n
Where, “n” is the order
The frequency of the wave “f” and wavelength “𝛌” is related as,
fn = v/𝛌n