Two simusoidal waves in a string are defined by the wave functious n = 2.00 sin(20.0z- 32.04) = 2.00 sin(25.0z - 40.02) where z, y, and yz 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 z = 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Two simusoidal waves in a string are defined by the wave functions
n = 2.00 sin(20.0r – 32.01)
= 2.00 sin(25.0z - 40.01)
where r, yi and y2 are in centimeters, t is in seconds and the angles are measured in radiaus.
(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 r 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.
Transcribed Image Text:Two simusoidal waves in a string are defined by the wave functions n = 2.00 sin(20.0r – 32.01) = 2.00 sin(25.0z - 40.01) where r, yi and y2 are in centimeters, t is in seconds and the angles are measured in radiaus. (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 r 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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