Question

Use the following data to answer questions

Length of string in vibration L = 6.0 meters

Frequency of the wave (from wave generator) f = 150Hz

Linear Density = 3.2 x 10^-3 kg/m

Tension = 80N

1. what is the wave speed

2. what is the wavelength

3. number of nodes?

4. number of antinodes?

5. What is the tension needed to produce a standing wave pattern with 9 antinodes?

Answer #1

1-state the relationship between a wave's velocity wavelength
and frequency?
2- What is the principle of superposition?
3- The distance between two nodes or two antinodes in a standing
wave is …………………. Wavelength?
4- - The distance between an antinode and a node in a standing
wave is …………………. Wavelength?
5- A string, which has a mass of 0.50 kg and a length of 3.0
meters, is clamped on both ends. If the tension in the string is 25
Newtons,...

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 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 is set up in a L=2.00m long string fixed at both
ends. The string vibrates in its 5th harmonic when driven by a
frequency f=120Hz source. The mass of the string is m=3.5grams.
Recall that 1kg = 1000grams.
A. Find the linear mass density of the string
B. What is the wavelength of the standing wave
C. What is the wave speed
D. What is the tension in the string
E. what is the first harmonic frequency...

29a)A violin string is set in vibration at a frequency of 440Hz.
How many vibrations does it make while its sound travels 200m if
the temperature is 25C
29b)A wire with a linear mass density of 2.5x10^-3 kg/m is under
35N of tension. If the wire is plucked what is the frequency of the
wave on the wire if its wavelength is 2m

A stretched string fixed at each end has a mass of 46.0 g and a
length of 9.00 m. The tension in the string is 52.0 N.
(a) Determine the positions of the nodes and antinodes for the
third harmonic. (Enter your answers from smallest to largest
distance from one end of the string.)
nodes:
m
m
m
m
antinodes:
m
m
m
(b) What is the vibration frequency for this harmonic?
Hz

A stretched string fixed at each end has a mass of 39.0 g and a
length of 7.20 m. The tension in the string is 44.0 N.
(a) Determine the positions of the nodes and antinodes for the
third harmonic. (Enter your answers from smallest to largest
distance from one end of the string.)
nodes:
m
m
m
m
antinodes:
m
m
m
(b) What is the vibration frequency for this harmonic?
Hz

A stretched string fixed at each end has a mass of 36.0 g and a
length of 7.60 m. The tension in the string is 48.0 N.
(a) Determine the positions of the nodes and antinodes for the
third harmonic. (Enter your answers from smallest to largest
distance from one end of the string.)
nodes:
_____ m
_____m
_____m
_____m
antinodes:
_____m
_____m
_____m
(b) What is the vibration frequency for this harmonic?
________ Hz
A train at a speed...

A stretched string fixed at each end has a mass of 40.0 g
and a length of 8.00 m. the tension in the string is 49.0 N.
(a) Determine the positions of the nodes and antinodes for
the third harmonic.
(b) What is the vibration frequency of this harmonic?
I know the answers to each part but I need depth explanantion
for each step please ..... why is the fundamental for the antinodes
lamda/4 and why is the nodes lamda/2...

A string is stretched out horizontally between two xed posts.
(a) When set vibra ng at a frequency of between 200 Hz and 600 Hz
(3 SF, no zeroes), the string exhibits a standing wave with ve (5)
loops. Make and label a sketch showing the wavelength ? of the
waves and the length L of the string when vibra ng in this mode.
(b) The string is between 4 and 9 meters long (3 SF, no zeroes).
Calculate the...

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