The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane:Y1(x, t) = (8.10 mm) sin( 5.90zX - 440zt)y2(x, t) = ( 8.10 mm) sin( 5.90xx + 440zt),with x in meters and tin seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upwarddisplacement to maximum downward displacement, how far does each wave move along the string?NumberUnits

Given, two equations of waves y1 & y2 sent in opposite direction. Both form a standing wave.…

Answered: The following two waves are sent in…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...

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Similar questions

At t = 0, a transverse pulse in a wire is described by the function y=6.00x2+3.00 where xand y are in meters. If the pulse is traveling in the positive x direction with a speed of 4.50 m/s, write the function y(x, t) that describes this pulse.
The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0 sin (1.5x 45t), where x and y are in meters and the time t is in seconds. a. In what direction is the wave propagating? be. N What are the b. amplitude, c. wavelength, d. frequency, and e. propagation speed of the wave?
Two traveling sinusoidal waves are described by the wave functions y1 = 5.00 sin [(4.00x 1 200t)] y2 = 5.00 sin [(4.00x 1 200t 0.250)] where x, y1 and y2 are in meters and t is in seconds. (a) What is the amplitude of the resultant wave function y1 + y2? (b) What is the frequency of the resultant wave function?
A standing transverse wave on a string of length 60 cm is represented by the equation y(x, t) = 4.0 sin(x/15) cos(96t), where x and y are in centimeters and t is in seconds. a. What is the maximum value of the standing wave at the point x = 5.0 cm? b. Where are the nodes located along the string for this particular standing wave? c. What is the vertical velocity vy of the string at x = 7.5 cm when t = 0.25 s?
Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of 3.00 cm, a wavelength of 5.20 m, and a period of 6.52 s, but one has a phase shift of an angle . What is the phase shift if the resultant wave has an amplitude of 5.00 cm? [Hint: Use the trig identity sinu+sinv=2sin(u+v2)cos(uv2)
When a standing wave is set up on a string fixed at both ends, which of the following statements is true? (a) The number of nodes is equal to the number of antinodes. (b) The wavelength is equal to the length of the string divided by an integer. (c) The frequency is equal to the number of nodes times the fundamental frequency. (d) The shape of the string at any instant shows a symmetry about the midpoint of the string.
A flute has a length of 58.0 cm. If the speed of sound in air is 343 m/s, what is the fundamental frequency of the flute, assuming it is a tube closed at one end and open at the other? (a) 148 Hz (b) 296 Hz (c) 444 Hz (d) 591 Hz (e) none of those answers
Two sinusoidal waves are moving through a medium in the positive x-direction, both having amplitudes of 6.00 cm, a wavelength of 4.3 m, and a period of 6.00 s, but one has a phase shift of an angle =0.50 rad. What is the height of the resultant wave at a time t=3.15 s and a position x=0.45 m ?
A tuning fork is known to vibrate with frequency 262 Hz. When it is sounded along with a mandolin siring, four beats are heard every second. Next, a bit of tape is put onto each line of the tuning fork, and the tuning fork now produces five beats per second with the same mandolin siring. What is the frequency of the string? (a) 257 Hz (b) 258 Hz (c) 262 Hz (d) 266 Hz (e) 267 Hz

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