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 ago
Next > < Previous

Related 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
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT