Its angular frequency is 3a rad/s, and it is Wave Y also has amplitude A and wavelength À, and is also traveling At time zero, the interference of X and Y is F wave X has amplitude A and wavelength À. traveling southwards. southwards. Its angular frequency is 57 rad/s. perfectly constructive. When will they next interfere this way?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 149CP: Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . The resultant wave form when...
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Wave X has amplitude A and wavelength ?. Its angular frequency is 3? rad/s, and it is traveling southwards. Wave Y also has amplitude A and wavelength ?, and is also traveling southwards. Its angular frequency is 5? rad/s. At time zero, the interference of X and Y is perfectly constructive. When will they next interfere this way?


F wave X has amplitude A and wavelength 1.
Its angular frequency is 3¤ rad/s, and it is
traveling southwards.
Wave Y also has amplitude A and wavelength 1, and is also traveling
southwards.
Its angular frequency is 5x rad/s.
At time zero, the interference of X and Y is
perfectly constructive.
When will they next interfere this way?
Sketch the situation, defining your variables.
Include accurate graphs of the displacement
functions.
For each equation
What physics equation (s) will you utilize in order to solve this problem?
you list, give a justification for why it applies to this situation.
Apply your equation (s) to solve, first for an algebraic expression (s), then for any numerical
answer (s).
Show the units of your answer (s), and how you got them.
Transcribed Image Text:F wave X has amplitude A and wavelength 1. Its angular frequency is 3¤ rad/s, and it is traveling southwards. Wave Y also has amplitude A and wavelength 1, and is also traveling southwards. Its angular frequency is 5x rad/s. At time zero, the interference of X and Y is perfectly constructive. When will they next interfere this way? Sketch the situation, defining your variables. Include accurate graphs of the displacement functions. For each equation What physics equation (s) will you utilize in order to solve this problem? you list, give a justification for why it applies to this situation. Apply your equation (s) to solve, first for an algebraic expression (s), then for any numerical answer (s). Show the units of your answer (s), and how you got them.
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