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 0.69 m. a. What is the wavelength, in meters, of the 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 oscillating length of the properly tuned D-string by 0.12 m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?

A 62.5-Hz sound wave is barely audible at a sound intensity level of 60.0 dB. The density of air at 20.0°C is 1.20 kg/m3. Speed of sound in air at 20.0°C is 343 m/s. What is the displacement amplitude of a 62.5-Hz sound wave? in nm What is the ratio of the displacement amplitude to the average distance between molecules in air at room temperature, about 2.00 nm?

A string is fixed at both ends. The mass of the string is 0.0010 kg and the length is 4 m. The string is under a tension of 180 N. The string is driven by a variable frequency source to produce standing waves on the string. Find the wavelengths and frequencies of the first four modes of standing waves. a. A1 = fi = Hz b. A2 = m f2 = Hz c. A3 = m f3 Hz %3D d. X4 = m fa = Hz

2 flutists are tuning their flutes with one playing a 560 Hz tone and the other playing a 548 Hz tone. A. determine the beat frequency. B. determine the resulting tone frequency everyone hears.

A heavy piece of hanging sculpture is suspended by a 90.0-cm-long, 5.00 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency of 80.0 Hz. a. What is the speed of the wave on the wire?b. What is the mass of the sculpture pulling down on the wire?

A violin string of length L=31.8 cm and linear mass density µ=0.64gm/is tuned to play an A4 note at 440.0 Hz. This means that the string is in its mode of oscillation fundamental, that is, it will be on that note without placing any fingers on it. From this information, A. Calculate the tension in the string that will keep it in tune. B. If the midpoint of the string is observed to have a maximum transverse motion of 2.59 mm when in the fundamental mode, what is the maximum speed vy máx of the antinode of the string? C. If the string tension is reduced by 6.3% of the tension found in part A, what is the resulting frequency of the note produced? D. When playing the violin, different notes can be produced depending on the position of the fingers of one hand on the string. The usual technique presses the string hard against the fretboard, reducing the length of the string that can vibrate. If we consider this string initially tuned for an A4, and a finger is placed a third of the way down…

A transverse sine wave is moving in the positive x direstion along a string stretched on the x axis. The wave has frequency 440 Hz and wavelength 0.341 m. The string has linear density 0.0032 kg/m. The amplitude in the y direction is 0.006 m. a. Find the velocity of the wave. b. Find the tension in the string. c. Find the maximum velocity of a small section of the string. d. Find the maximum acceleration of a small section of the string.

A wire is 5.00m long and is held in place at both ends. The wire is stretched to a tension of 200N . The string vibrates in its third harmonic at a frequency of 22.0Hz.a. What is the wavelength for this harmonic?b. What is the frequency of the fundamental? c. What is the wave speed? d. What is the mass per length of the wire

A string of length L=1.68 m is attached at both ends. The string is parallel to an x-axis and extends from x=0 to x=L. The speed of waves on this string is v= 285.6m/s. For 3. standing waves: a. What is the wavelength of the fundamental mode (n=1 mode), 4 ? b. Whatis the frequency of the fifth harmonic, f;? c. Draw the envelopes of the string displacement wave function for the first three harmonics and label each node with the letter 'N' and antinode with letter 'A'. Please make three separate drawings. d. For the third harmonic, n=3 , what are the three x values where the transverse speed of the string is a maximum, X, Xm2, X3 compared to other xlocations? e. For this string oscillating in the third harmonic (n=3), with a maximum deviation from equilibrium of 2y. = 0.280 cm at points x= xml,X =Xm2,X= X3 , what is the maximum (positive) transverse speed of the string (speed perpendicular to the direction of the string), Max(u,(xmt)) ?

A.)A wave has a speed of 260.0 m/s and a wavelength of 5.2 m. What is the frequency of the wave?  B.)What is the period of the wave?   .