Many opera singers (and some pop singers) have a range of about 2 octaves or even greater. Suppose a soprano's range extends from A below middle C (frequency 220 Hz) up to E-flat above high C (frequency 1244 Hz). Although the vocal tract is quite complicated, we can model it as a resonating air column, like an organ pipe, that is open at the top and closed at the bottom. The column extends from the mouth down to the diaphragm in the chest cavity. Assume that the lowest note is the fundamental.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
Problem 32P: The overall length of a piccolo is 32.0 cm. The resonating air column is open at both ends. (a) Find...
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Many opera singers (and some pop singers) have a range of about 2 octaves or even
greater. Suppose a soprano's range extends from A below middle C (frequency 220 Hz)
up to E-flat above high C (frequency 1244 Hz). Although the vocal tract is quite
complicated, we can model it as a resonating air column, like an organ pipe, that is open at
the top and closed at the bottom. The column extends from the mouth down to the
diaphragm in the chest cavity. Assume that the lowest note is the fundamental.
Transcribed Image Text:Many opera singers (and some pop singers) have a range of about 2 octaves or even greater. Suppose a soprano's range extends from A below middle C (frequency 220 Hz) up to E-flat above high C (frequency 1244 Hz). Although the vocal tract is quite complicated, we can model it as a resonating air column, like an organ pipe, that is open at the top and closed at the bottom. The column extends from the mouth down to the diaphragm in the chest cavity. Assume that the lowest note is the fundamental.
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