Question

**Please Ensure that part e) is completed**

The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in the following diagram for a tube of length L = 2.1 cm. The fundamental mode for the sound-pressure standing wave is indicated.The standing wave properties of an ear canal are often modelled as a tube with one end open and one end closed. This is shown in the following diagram for a tube of length L = 2.1 cm. The fundamental mode for the sound-pressure standing wave is indicated.

a) What is the fundamental frequency?

b) Redraw the tube 3 times. Sketch in the standing wave patterns for the 2nd, 3rd and 5th harmonics.

c) What is the wavelength of the 5th harmonic?

d) What is the fundamental frequency if the ear was filled with water?

e) Consider a second tube that is open-open with length L2.

(i) Draw the standing wave pattern for the 3rd harmonic.

(ii) What is L2 so that the 3rd harmonic frequency equals the second harmonic frequency of the ear canal? (assume air-filled for both)

Answer #1

The standing wave properties of an ear canal are often modelled
as a tube with one end open and one end closed. This is shown in
the following diagram for a tube of length L = 2.1 cm. The
fundamental mode for the sound-pressure standing wave is
indicated.The standing wave properties of an ear canal are often
modelled as a tube with one end open and one end closed. This is
shown in the following diagram for a tube of...

1.The human ear canal is about 2.3 cm long. If it is regarded as
a tube open at one end and closed at the eardrum, what is the
fundamental frequency around which we would expect hearing to be
most sensitive?
?kHz
2. An airplane traveling at half the speed of sound emits a
sound of frequency 5.30 kHz.
(a) At what frequency does a stationary listener hear the sound
as the plane approaches?
? kHz
(b) At what frequency does...

Four standing waves, labeled A through D, are described
below:
Wave A: first harmonic; pipe closed at one end; length = 1 m
Wave B: first harmonic; pipe open at both ends; length = 1 m
Wave C: second harmonic; pipe open at both ends; length = 3
m
Wave D: second harmonic; pipe closed at one end; length = 3
m
Rank the standing waves in order of decreasing frequency. Rank
from greatest to smallest. To rank items as...

A stove is connected to a stovepipe of length L=3m. When the
wind blows, the pipe sometimes “sings” (just like blowing across
the top of a coke bottle). The fundamental frequency and lowest few
overtones are usually heard. Assume the speed of sound to be 300
m/s.
a) Assume that the pipe is “open” on one end and “closed” on the
other. Draw a displacement standing wave diagram for this case and
determine the fundamental frequency of sound that is...

A stove is connected to a stove pipe of length L=3m. When the
wind blows, the pipe sometimes “sings” (just like blowing across
the top of a coke bottle). The fundamental frequency and lowest few
overtones are usually heard. Assume the speed of sound to be 300
m/s.
a) Assume that the pipe is “open” on one end and “closed” on the
other. Draw a displacement standing wave diagram for this case and
determine the fundamental frequency of sound that...

A stove is connected to a stove pipe of length L=3m. When the
wind blows, the pipe sometimes “sings” (just like blowing across
the top of a coke bottle). The fundamental frequency and lowest few
overtones are usually heard. Assume the speed of sound to be 340
m/s.
a) Assume that the pipe is “open” on one end and “closed” on the
other. Draw a displacement standing wave diagram for this case and
determine the fundamental frequency of sound that...

7) (a) Draw a diagram to represent the standing wave patterns
for the first three harmonics of a pipe with one open end.
(i) How many nodes and antinodes are there for each harmonic?
(ii) What are the relations for the length of the rope L, the
wavelength λ, and the frequency f of the standing waves?

for
a string to form a standing wave, does the length of the string
have to be in a multiple of 1/2 lambda or 1/4 lambda? what about
for a tube with one open and and one closed end and a tube with two
open ends. why is this the case for each scenerio?

part 1. A 9.00-m long string sustains a three-loop standing wave
pattern as shown. The string has a mass of 45 g and under a tension
of 50 N.
a. What is the frequency of vibration?
b. At the same frequency, you wish to see four loops, what
tension you need to use.
Part 2.
a. Determine the shortest length of pipe, open at both ends,
which will resonate at 256 Hz (so the first harmonics is 256Hz).
The speed...

d) An open-ended pipe contains a plunger so that the
length of the closed-open pipe can be varied. The sound wave has
frequency 2.1 kHz. (i) As the pipe length is increased
from zero, what are the first 3 lengths that produce a standing
wave? (ii) Draw the standing wave patterns in each case.
(iii) The speed of sound varies increases with √? where T
is the temperature of the air in Kelvin. Consider two identical
pipes resonating at their...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 35 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago