A sinusoidal wave traveling in the negative x direction
Chapter 16, Problem 18(choose chapter or problem)
A sinusoidal wave traveling in the negative x direction (to the left) has an amplitude of 20.0 cm, a wavelength of 35.0 cm, and a frequency of 12.0 Hz. The transverse position of an element of the medium at t 5 0, x 5 0 is y 5 23.00 cm, and the element has a positive velocity here. We wish to find an expression for the wave function describing this wave. (a) Sketch the wave at t 5 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency v and (e) the wave speed v. (f) From the information about t 5 0, find the phase constant f. (g) Write an expression for the wave function y(x, t).
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