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

Answered: Image /qna-images/answer/cfa4aa0c-2826-474f-8623-f9a7f71aa21e.jpg

Answered: 90 A certain transverse sinu- soidal…

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Wave Motion

Section: Chapter Questions

Problem 7P

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Similar questions

When all the strings on a guitar (Fig. OQ16.5) are stretched to the same tension, will the speed of a wave along the most massive bass string be (a) faster, (b) slower, or (c) the same as the speed of a wave on the lighter strings? Alternatively, (d) is the speed on the bass string not necessarily any of these answers?
Verify by direct substitution that the wave function for a standing wave given in Equation 17.1, y=(2Asinkx)coswt is a solution of the general linear wave equation, Equation 16.27: 2yx2=1v22yt2
Why is a pulse on a string considered to be transverse?
The speed of a one-dimensional compressional wave traveling along a thin copper rod is 3.56 ktn/s. The rod is given a sharp hammer blow at one end. A listener at the far end of the rod hears the sound twice, transmitted through the metal and through air, with a time interval t between the two pulses, (a) Which sound arrives first? (b) Find the length of the rod as a function of t, (c) Find the length of the rod if t = 127 ms. (d) Imagine that the copper rod is replaced by another material through which the speed of sound is r. What is the length of the rod in terms of t and r? (e) Would the answer to part (d) go to a well-defined limit as the speed of sound in the rod goes to infinity? Explain your answer.
On a marimba (Fig. P18.75), the wooden bar that sounds a tone when struck vibrates in a transverse standing wave having three ant modes and two nodes. The lowest-frequency note is 87.0 Hz, produced by a bar 40.0 cm long, (a) Find the speed of transverse waves on the bar. (b) A resonant pipe suspended vertically below the center of the bar enhances the loudness of the emitted sound. If the pipe is open at the top end only, what length of the pipe is required to resonate with the bar in part (a)?
In an earthquake, both S (transverse) and P (longitudinal) waves propagate from the focus of the earthquake. The focus is in the ground radially below the epicenter on the surface (Fig. (CQ16.9). Assume the waves move in straight lines through uniform material. The S waves travel through the Earth more slowly than the P waves (at about 5 km/s versus 8 km/s). By detecting the time of arrival of the waves at a seismograph. (a) how can one determine the distance to the focus of the earthquake? (b) How many detection stations are necessary to locate the focus unambiguously?
The wave is a particular type of pulse that can propagate through a large crowd gathered at a sports arena (Fig. P16.4). The elements of the medium are the spectators, with zero position corresponding to their being seated and maximum position corresponding to their standing and raising their arms. When a large fraction of the spectators participates in the wave motion, a somewhat stable pulse shape can develop. The wave speed depends on peoples reaction time, which is typically on the order of 0.1 s. Estimate the order of magnitude, in minutes, of the time interval required for such a pulse to make one circuit around a large sports stadium. State the quantities you measure or estimate and their values.
A swimmer in the ocean observes one day that the ocean surface waves are periodic and resemble a sine wave. The swimmer estimates that the vertical distance between the crest and the trough of each wave is approximately 0.45 m, and the distance between each crest is approximately 1.8 m. The swimmer counts that 12 waves pass every two minutes. Determine the simple harmonic wave function that would describes these waves.

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