A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + ¢). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) ym, (c) k, (d) w, (e) $, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 when t = 4.00 s? у (ст) Ys 10

A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of y = Ym sin(kx - wt + ¢). (a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine function? What are (b) ym, (c) k, (d) w, (e) $, (f) the sign in front of w, and (g) the wave speed (speed of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 when t = 4.00 s? у (ст) Ys 10

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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Concept explainers

Interference of sound

Seiche

A seiche is an oscillating standing wave in a body of water. The term seiche pronounced saysh) can be understood by the sloshing of water back and forth in a swimming pool. The same phenomenon happens on a much larger scale in vast bodies of water including bays and lakes. A seizure can happen in any enclosed or semi-enclosed body of water.

Question

parts (g)-(h)

A sinusoidal transverse wave of wavelength 24.0 cm travels along a string in the positive direction
of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of
time t. The scale of the vertical axis is set by y, = 3.00 cm. The wave equation is to be in the form of
y = Ym sin(kx - wt + ¢).
(a) At t = 0, is a plot of y versus x in the shape of a positive sine function or a negative sine
function? What are (b) ym, (c) k, (d) w, (e) $, (f) the sign in front of w, and (g) the wave speed (speed
of the wave along the string) and (h) What is the transverse velocity of the particle at x = 0 whent
%3D
= 4.00 s?
у (ст)
t (s)
10

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