A travelling wave is described by the function:y= Asin (kxwt) with 4 = 2.0 cm, w = 150 s¹ and k = 10.0 × 106 m−¹.Using the controls provided and explained below, produce a sine function that representsa snapshot of the wave at position x0 = 5.0 × 10-6 m for the displacement y versus time t.[Hint: You should check that the slope of the curve at the y-axis intercept is consistentwith the data and equation provided.]You can use the buttons to the right of the graph to change the period and amplitude ofthe sine function shown. The position arrow buttons allow you to move the sine functionto the left or right. When you are happy with your sine function click the 'Enter answer'button.y/m 0.040.030.020.01Period+Amplitude0.000.05.100.150.20+t/s-0.01-0.02-0.03-0.04Position<<>>

The period is 75πsThe amplitude is0.02mThe position is0.0153mExplanation:Step 1:The function is…

Answered: A travelling wave is described by the…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 86PQ

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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)
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?
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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.
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Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t+3) and y2(x,t)=0.6msin(8m1x6s1t) . What is the height of the resultant wave formed by the interference of the two waves at the position x=1.0 m at time t=3.0 s?
The equation of a wave in the international SI system, which propagates on a string, is given by the expression: y(x,t)=0.08cos(2π(2x-4t)) Determine the values of the velocity at the point located 2m from the origin at the instant t=5s.
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Two sinusoidal waves travelling in the same direction with the same amplitude, wavelength, and speed, interfere with each other to give the resultant wave: y_res (x,t) = 2 cm sin(4πx-60πt+π/3). The amplitude of the individual waves generating this wave is:

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