Two simusoidal waves in a string are defined by the wave functions Yn = 2.00 sin(20.0z – 32.01) Y1 = 2.00 sin(25.0z – 40.01) where z, yn and y2 are in centimeters, t is in seconds and the angles are measured in radians. (a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s. Give your final answer in degrees between 0° and 360°. (b) What is the positive z value closest to the origin for which the two phases differ by +r at t = 2.00 s resulting in a zero displacement? Show all your workings and explain your reasoning.

Two simusoidal waves in a string are defined by the wave functions Yn = 2.00 sin(20.0z – 32.01) Y1 = 2.00 sin(25.0z – 40.01) where z, yn and y2 are in centimeters, t is in seconds and the angles are measured in radians. (a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s. Give your final answer in degrees between 0° and 360°. (b) What is the positive z value closest to the origin for which the two phases differ by +r at t = 2.00 s resulting in a zero displacement? Show all your workings and explain your reasoning.

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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Question

Two sinusoidal waves in a string are defined by the wave functions
Yn = 2.00 sin(20.0r – 32.01)
Y = 2.00 sin(25.0r – 40.0t)
where r, y1 and y2 are in centimeters, t is in seconds and the angles are measured in radians.
(a) What is the phase difference between these two waves at the point r = 5.00 cm at t = 2.00 s.
Give your final answer in degrees between 0° and 360°.
(b) What is the positive a value closest to the origin for which the two phases differ by +r at t = 2.00 s
resulting in a zero displacement? Show all your workings and explain your reasoning.

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