What is a vibrational frequency of the n=6 harmonic of a string of length 0.71 m strung at the tension 27.6 N, if the string is made of steel (density 7700 kg/m3) and has a diameter of 0.00771 m?

The equation of a certain traveling transverse wave is y1 = 2 cos (200nt -0.05nx) where x and ·y are in cm and t is the time in seconds. 18.Find the transverse velocity of the vibration in y-direction, as a function of time. Hint: Take the partial derivative withrespect to t, treating x as a constant. a. Uy= -400 n sin 2n(l OOt - 0.025x) c. Uy= -0.05 sin 2n(l00t - 0.025x) b. Uy = -200 sin 2n(l OOt - 0.025x) d. Uy= -0.10 n sin 2n(l OOt - 0.025x)

A string with a mass ? = 8.00? and a length ? = 5.00 ? has one end attached to a wall; the other end is draped over a small, fixed pulley a distance ? = 4.00? from the wall and attached to a hanging object with a mass ? = 4.00?? as shown in the figure. If the horizontal part of the string is plucked, what is the fundamental frequency of its vibration?

The height of the speaker stack was designed to be equal to the wavelength of the sound wave produced by the lowest string.    If the frequency of this harmonic vibration is 31 Hz and the length of the string is 0.89m (89cm), what is the speed of the ave on the string?    If the density of the string is 0.0657 kg/m what is the Tension of the string?    If the speed of sound is 343 m/s what will be the wavelength of the sound made by the first harmonic vibration (hint: this is the height of the tallest stack of speakers)

(a) Plot y versus t at x = 0 for a sinusoidal wave of the form y = 0.150 cos (15.7x - 50.3t), where x and y are in meters and t is in seconds. (b) Determine the period of vibration.

One end of a horizontal string is attached to a small- amplitude mechanical 60.0-Hz oscillator. The string's mass per unit length is 3.2 x10-4kg/m. The string passes over a pulley, a distance l = 1.50 m away, and weights are hung from this end. Assume the string at the oscillator is a node, which is nearly true. (Figure 1) Figure Oscillator -1.50 m 1 of 1 m What mass m must be hung from this end of the string to produce one loop of a standing wave? Express your answer to two significant figures and include the appropriate units. m1 = Submit Part B m2 = μA Value O Request Answer What mass m must be hung from this end of the string to produce two loops of a standing wave? Express your answer to two significant figures and include the appropriate units. μA Units Value ? Units ?

A steel wire in a piano has a length of 0.520 m and a mass of 4.600 x 103 kg. To what tension must this wire be stretched so that the fundamental vibration corresponds to middle C (f. = 261.6 Hz on the chromatic musical scale)? Need Help? Read It

What is the radius of a wire that has a wave velocity of 225m / s when stretched with a tension of 150 N? The density of the wire is 8.60x103 kg / m3.

A periodic vibration at x = 0, t = 0 displaces air molecules along the x direction by smax = 3.2E-05 m. The motion produces a sound wave that travels at a velocity of v = 336 m/s with a frequency of f = 120 Hz. Take the density of air as ρa = 1.20 kg/m3. Calculate the displacement of the air molecules using an function for the traveling sound wave in terms of time and position at time t = 0.001 s and displacement x = 1.0 m.  Write an expression for the maximum pressure exerted by the sound wave ΔPmax in terms of the air density ρa, the sound velocity v, the angular frequency ω, and the maximum displacement smax. The sound wave is directly incident on a sheet of paper of surface area A = 0.013 m2. Calculate the maximum force Fmax, in newtons, exerted on this sheet.

A periodic, standing wave exists on a string of length L=3.23m.  If a particular wave is measured to have a wave velocity of v=37.54 m/s, what is the frequency (in Hz) of the n=10 vibrational mode?