90 A certain transverse sinu-soidal wave of wavelength 20 cmis moving in the positive direc-t (s)tion of an x axis. The transversevelocity of the particle at x = 0as a function of time is shown inFig. 16-49, where the scale ofthe vertical axis is set by u, = 5.0 cm/s. What are the (a) wavespeed, (b) amplitude, and (c) frequency? (d) Sketch the wavebetween x = 0 andx = 20 cm at t = 2.0 s.Figure 16-49 Problem 90.(s/uɔ) n

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Answered: 90 A certain transverse sinu- soidal…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The wavefunction of a mechanical wave on a string is described by: y(x.t) = 0.012cos(TtX-100rtt+2rt/3), where x and y are in meters and t is in seconds. The transverse velocity of an element on the string at the left end (x = 0), at time t = 0 is: O None of the listed O -0.6v3Tt m/s -0.6n m/s +0.6m m/s +0.6 3m m/s
When a plane wave travels in a medium, the displace- ments of particles are given by y = 0.01 sin [27 (2t – 0.01x)] where x and y are in metre and t in second. Find (a) the amplitude, wavelength, wave velocity and frequency of the wave, (b) the phase difference between two positions of the same particle in a time interval of 0.25s and (c) the phase difference at a given instant of time between two particles 50 m apart.
95 A continuous traveling wave with amplitude A is incident on a boundary. The continuous reflection, with a smaller amplitude B, travels back through the incoming wave. The resulting interference pattern is displayed in Fig. 16-51. The standing wave ratio is defined to be A + B А - В SWR = The reflection coefficient R is the ratio of the power of the reflected wave to the Amax Amin Anax power of the incoming wave and is thus proportional to the ratio (BIA). What is the SWR for (a) total reflection and (b) no reflection? (c) For SWR = 1.50, what is R expressed as a percentage? Figure 16-51 Problem 95.
A uniform rope of length 5 meters and mass 200 grams supports a 9-kg block as shown in Fig. Determine the speed of propagation that a transverse wave would have if it were to propagate down the string in that situation. (Assume the system remains in equilibrium)
A model aircraft with an engine producing vibrations of constant frequency of ?0 =500 ?? flies at a constant speed in horizontal circle of radius ? = 15 ? and completes one revolution in 5.0 ?. An observer situated in the plane of the circle and 50 ? from its centre monitors the frequency of sound from the engine. Using the speed of sound in air as 340 m/s, calculate the maximum and minimum observed frequencies.
66 Figure 16-44 shows the dis- placement y versus time t of the point on a string at x= 0, as a wave passes through that point. The scale of the y axis is set by y, = 6.0 mm. The wave is given by y(x, t) = ym sin(kx – wt + 4). What is 4? (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of w into y(x, 1) and then plotting the function.) y (mm) Figure 16-44 Problem 66.
40 cm/s is in question not 40 m/s..its printing mistake... please solve using 40 cm/s.
Some Hawaiian tsunamis For an interval of 45 minutes, the tsunamis near Hawaii caused by the Chilean earthquake of TT 1960 could be modeled by the equation y = 8 sin -t, 6 where y is in feet and t is in minutes. (a) Find the amplitude and period of the waves. (b) If the distance from one crest of the wave to the next was 21 kilometers, what was the velocity of the wave? (Tidal waves can have velocities of more than 700 km/hr in deep sea water.)
A wave is described by the given wave function ,, Calculate the following: 1) The velocity of the wave in meters per second = 2) The time period of the wave in seconds = 3) The wavelength of the wave in meters =
c) The intensity of an earthquake wave travelling through the Earth and detected 100 km from the source is 1.0 x 106 W/m². Compute: i) ii) the total power emitted by the source the intensity at a distance of 400 km from the source.
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