Question
In: Physics
A violin string 20.0 cm long with mass 4.8 g and tension 48 N, fixed at...
A violin string 20.0 cm long with mass 4.8 g and tension 48 N, fixed at both ends, oscillates in its n=2 mode. What is the wavelength in air of the sound emitted by this vibrating string? ( The speed of the sound in air is 343 m/s.)
The answer is 1.534 m, not sure how to find it.
Solutions
Expert Solution
Length L = 20 cm = 0.2 m
mass M = 4.8 g = 4.8 x10 -3 kg
Linear density m = M/L
= 0.024 kg / m
Tension T = 48 N
Speed of sound V = 343 m/s
For n=2 mode the frequency f = (2/2L) 
[T/m]
= (1/0.2) [48/(0.024)]
= 223.6 Hz
The wavelength in air of the sound emitted by this vibrating
string 
= V / f
= 343 / 223.6
= 1.534 m
genius_generous answered 1 year agoRelated Solutions
The G string on a violin is 30 cm long. when played without fingering, it vibrates...
The G string on a violin is 30 cm long. when played without
fingering, it vibrates at frequency 196 Hz. The next higher notes
on the scale are A(220 Hz), B(247 Hz), C(262 Hz), and D(294 Hz).
How far from the end of the string must a finger be placed to play
these notes?
A standard violin string is 32.8 cm long from the tuning peg to the bridge. When...
A standard violin string is 32.8 cm long from the tuning peg to
the bridge. When played open(without pressing a finger against the
fingerboard), this string has a fundamental (lowest)frequency of
440 Hz.
(a) What is the wavelength of the wave at this frequency? (Hint:
the lowest frequency is alsothe longest wavelength that can produce
a standing wave.) b.
(b) What is the speed of the wave on the string? (Hint: this is
not the speed of sound!)c.
(c) How...
A 52 cm long thin string is attached to a 25 g mass. You bring the...
A 52 cm long thin string is attached to a 25 g mass. You bring
the mass up until you make a 4.2◦ angle with respect to the
equilibrium position and let go. You start the timer when the
simple pendula has a 2.1◦ angle with respect to the equilibrium
position. (a) What are the equations for the position, velocity,
and acceleration of the system? (b) Using your equations, determine
what the three will equal at the instant you let...
One string of a certain musical instrument is 75.0-cm-long and has a mass of 8.75 g....
One string of a certain musical instrument is 75.0-cm-long and
has a mass of 8.75 g. It is being played in a room where the speed
of sound is 344 m/s.
(a) To what tension force must you adjust the string so that,
when vibrating in its second overtone, it produces sound of
wavelength 0.765 m? (Assume that the breaking stress of the wire is
very large and isn’t exceeded.)
(b) What frequency sound does this string produce in its...
A guitar string is 90 cm long and has a mass of 3.5g . The distance...
A guitar string is 90 cm long and has a mass of 3.5g . The distance from the bridge to the support post is L=62cm, and the string is under a tension of 540N . What are the frequencies of the fundamental and first two overtones? Express your answers using two significant figures. Enter your answers in ascending order separated by commas.
A guitar string has a mass of 3.23 g, a length of 3.18 cm, and is...
A guitar string has a mass of 3.23 g, a length of 3.18 cm, and
is under a tension of 980 N. What is the wave speed, fundamental
frequency, and the frequencies of the next two harmonics on the
string?
The G string on a guitar is 69 cm long and has a fundamental frequency of...
The G string on a guitar is 69 cm long and has a fundamental
frequency of 196 Hz. A guitarist can play different notes by
pushing the string against various frets, which changes the
string's length. The third fret from the neck gives B♭ (233.08 Hz);
the fourth fret gives B (246.94 Hz).
How far apart are the third and fourth frets?
Express your answer to two significant figures and include the
appropriate units.
To the end of a 50 cm long string, a ball of 100 g, which is...
To the end of a 50 cm long string, a ball of 100 g,
which is swinging under a vertical circle under the influence of
gravity, is tied. When the rope makes an angle = 12 ° with the
ball, the ball has a speed of 2.2 m / s. a) Find the current Radial
component of the acceleration (ar) b) When
angle = 18 °, find the magnitude of the tangential acceleration
(at). c) Find the magnitude of the...
The G-string on a guitar is 64.8 cm long and is properly tuned to 196 Hz...
The G-string on a guitar is 64.8 cm long and is properly tuned
to 196 Hz (fundamental) frequency.
a. Sketch the first harmonic on this guitar string at two
different times.
b. What is the frequency of the G note one octave above this
frequency? One octave below?
c. What is the frequency of the note a perfect fifth above this
frequency?
d. What is the wavelength of the first harmonic of this guitar
string?
e. What is the speed...
The G-string on a guitar is 64.8 cm long and is properly tuned to 196 Hz...
The G-string on a guitar is 64.8 cm long and is properly tuned
to 196 Hz (fundamental) frequency.
a. Sketch the first harmonic on this guitar string at two
different times.
b. What is the frequency of the G note one octave above this
frequency? One octave below?
c. What is the frequency of the note a perfect fifth above this
frequency?
d. What is the wavelength of the first harmonic of this guitar
string?
e. What is the speed...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- identify one intrapersonal relationship and evaluate its component.
- Using Python in vs code: The distribution of letters in a document has a distinctive and...
- Why is De Beers exploring the diamond reselling market? How does the creation of IIDV affect...
- programming in Python The body mass index (BMI) is calculated as a person’s weight (in lb)...
- 1. Show the steps in merging A and B into C where A= 8, 12, 19,...
- 1. Given the following information, determine the beta coefficient for Stock L that is consistent with...
- Generate the first ten rows of Pascal triangle using MATLAB. Post code in the response
ADVERTISEMENT