19) The vertical displacement y(x,t) of a string stretched along the horizontal x-axis is given by y(x,t) = (0.25 m) sin[(4 m-1)x - (9.27 rad/s)f]. (i) For one complete cycle, sketch a plot of y vs x, and separately plot y vs t. Label the wavelength, period, and the amplitude of the wave. %3D (ii) How fast does this wave travel? (iii) Show that y(x,t) is a solution to the wave equation.

19) The vertical displacement y(x,t) of a string stretched along the horizontal x-axis is given by y(x,t) = (0.25 m) sin[(4 m-1)x - (9.27 rad/s)f]. (i) For one complete cycle, sketch a plot of y vs x, and separately plot y vs t. Label the wavelength, period, and the amplitude of the wave. %3D (ii) How fast does this wave travel? (iii) Show that y(x,t) is a solution to the wave equation.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 16P

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