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 = 0, x = 0 is y = 23.00 cm, and the element has a positive velocity here. We wish to findan expression for the wave function describing this wave. (a) Sketch the wave at t = 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency ω and (e) the wave speed υ. (f) From the information about t = 0, find the phase constant φ. (g) Write an expression for the wave function y(x, t).
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 = 0, x = 0 is y = 23.00 cm, and the element has a positive velocity here. We wish to findan expression for the wave function describing this wave. (a) Sketch the wave at t = 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency ω and (e) the wave speed υ. (f) From the information about t = 0, find the phase constant φ. (g) Write an expression for the wave function y(x, t).
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
Problem 12PQ: The equation of a harmonic wave propagating along a stretched string is represented by y(x, t) = 4.0...
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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 = 0, x = 0 is y = 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 = 0. (b) Find the angular wave number k from the wavelength. (c) Find the period T from the frequency. Find (d) the angular frequency ω and (e) the wave speed υ. (f) From the information about t = 0, find the phase constant φ. (g) Write an expression for the wave function y(x, t).
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