Question

a) Strings on a full-scale violin are 32 centimeters long. The third harmonic of the fourth string vibrates at a frequency of 1320 Hz. What is the wavelength of the vibration of the string in this third-harmonic mode? (Hint: draw a sketch)

b) What is the fundamental frequency of this tone? Show your work

c) What is the speed of a wave on this string? Show your work

d) The violinist firmly places a finger on the string 1/3 of the way from its upper end, effectively shortening the string. What is the new fundamental frequency? Show your work

Answer #1

Solution :

A string of a violin vibrates in its fundamental mode of one
loop with frequency of 100 Hz. What will be the frequency of the
wave that will produce a three-loop pattern on the same string?

A violin string of length 40 cm and mass 1.4 g has a frequency
of 526 Hz when it is vibrating in its fundamental mode. (a) What is
the wavelength of the standing wave on the string? (b) What is the
tension in the string? (c) Where should you place your finger to
increase the frequency to 676 Hz?cm from the fixed end of the
string (from the peg of the violin)

Two violin strings each have a length of 0.32 m and are each
under a tension of 51 N. The lighter string has a mass density of
6.43x10-4 kg/m, whereas the heavier string has a mass
density of 2.48x10-3 kg/m. (Note, for stringed
instruments, both ends of the string are fixed.)
(a) What are the fundamental frequencies of the (i) lighter and
(ii) heavier violin strings?
(b) These strings are plucked simultaneously in such a way that the
fundamental of...

You are playing a violin, where the fundamental
frequency of one of the strings is 440 ??, as you are standing in
front of the opening of a long tube that is closed at the other
end. As you play, you notice that the first time you hear an echo
from the tube is when the sound from the 440 ?? string is in its
fourth harmonic. Assuming you are playing this string on earth,
what must be the length...

You are playing a violin, where the fundamental frequency of one
of the strings is 440 ??, as you are standing in front of the
opening of a long tube that is closed at the other end. As you
play, you notice that the first time you hear an echo from the tube
is when the sound from the 440 ?? string is in its fourth harmonic.
Assuming you are playing this string on earth, what must be the
length...

The D-string on a properly tuned guitar produces a tone with a
fundamental frequency of 146.8 Hz. The oscillating length of a
D-string on a certain guitar is 0.63m.
(a) What is the wavelength, in meters, of a standing wave in the
D-string when it is oscillating at its third harmonic (also called
its second overtone)?
(b) Determine the frequency, in hertz, of the third harmonic of
the tone produced by the properly tuned D-string.
(c) The guitarist shortens the...

⦁ A person sitting in a stationary boat notices that
it takes the water waves 2 seconds to pass the entire length of the
boat that is 12 m. Calculate the speed of the water waves. Show
your calculation.
12/2 = 6m/s
⦁ The person in Question #1 also notices the water
waves passing by the bow of the ship once every 4 seconds. b) What
are the frequency and c) the wavelength of the water waves? Show
all your...

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...

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