BIO The Vocal Tract. Many opera singers (and some pop singers) have a range of about 2 1 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, and we can also assume that the lowest note is the fundamental. How long is this column of air if υ = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
BIO The Vocal Tract. Many opera singers (and some pop singers) have a range of about 2 1 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, and we can also assume that the lowest note is the fundamental. How long is this column of air if υ = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
BIO The Vocal Tract. Many opera singers (and some pop singers) have a range of about
2
1
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, and we can also assume that the lowest note is the fundamental. How long is this column of air if υ = 354 m/s? Does your result seem reasonable, on the basis of observations of your own body?
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.
Part A
How long is this column of air if v = 354 m/s?
Express your answer with the appropriate units.
C'H
L =
Submit
μA
Value
Request Answer
Units
?
You hold a speaker up to closed ended air column that is 1.20 m long. You slowly
raise the frequency put out by the speaker until you hear the first resonant
harmonic at a frequency of 69.0 Hz. What is the speed of sound in the tube?
O 331 m/s
O 20.7 m/s
O 82.8 m/s
O 350 m/s
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.