Question

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?

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...

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...

1a. Derive a formula for the wavelength of a standing wave on a
fixed string at both ends in terms of the number of antinodes, n,
and the length of the string.
1b. For an aluminum rod, when a wave is set up in the rod, do
you expect the ends of the rod to allow vibrations or not? Are they
considered open or closed for displacement?
1c. Draw schematic pictures of the two longest wavelengths that
could fit on...

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...

a) What are nodes and antinodes for a standing wave?
b) How is the distance between nodes related to the wavelength
of a standing wave?
c) How do standing waves look for a string?
d) A pipe that is open at both ends?
e) A pipe that is closed at one end and open at the other?
please type your responses.

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...

Standing waves on a 1.5-meter long string that is fixed at both
ends are seen at successive (that is, modes m and m + 1)
frequencies of 38 Hz and 42 Hz respectively. The tension in the
string is 720 N.
What is the fundamental frequency of the standing wave? Hint:
recall that every harmonic frequency of a standing wave is a
multiple of the fundamental frequency.
What is the speed of the wave in the string?
What is the...

A standing wave pattern is created on a string with mass density
μ = 3 × 10-4 kg/m. A wave generator with frequency f =
63 Hz is attached to one end of the string and the other end goes
over a pulley and is connected to a mass (ignore the weight of the
string between the pulley and mass). The distance between the
generator and pulley is L = 0.68 m. Initially the 3rd harmonic wave
pattern is formed....

A standing wave on a string fixed at both ends is described by
y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and
time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above
standing wave
b) Find the amplitude, wave number, frequency, period and speed of
each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance
between the nodes...

A standing wave pattern is created on a string with mass density
μ = 3 × 10-4 kg/m. A wave generator with frequency f = 63 Hz is
attached to one end of the string and the other end goes over a
pulley and is connected to a mass (ignore the weight of the string
between the pulley and mass). The distance between the generator
and pulley is L = 0.68 m. Initially the 3rd harmonic wave pattern
is formed....

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