Out of Phase Waves: Solving the Relevant Equation

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The discussion focuses on understanding the phase relationship between two waves, specifically that they are 90 degrees out of phase, or π/2. There is confusion regarding which wave is ahead; while it appears Y is ahead of X, the analysis shows that X oscillates upward before Y does. The key to resolving this is to examine the waveforms at the same time, particularly at t=0, to determine which wave is leading. The term "ahead" refers to the earlier position on the time axis, indicating that X is indeed ahead of Y by one quarter period. This clarification helps in accurately interpreting the phase difference between the two waves.
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The Attempt at a Solution



I can see straight away that the waves are 90 degrees out of phase so pie/2.

But how is X ahead of Y? It looks like Y is ahead of X by pie/2.
 
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ravsterphysics said:
But how is X ahead of Y? It looks like Y is ahead of X by pie/2.
The horizontal axis is time, so X is oscillating up before Y is oscillating up. Look at the origin -- X is full size, and Y is just starting to move positive from zero... The key is to look at where the two waveforms are at the same time (say t=0) and ask yourself which one is "leading" the other. Makes sense?
 
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Another way to look at it..
"Ahead" means earlier in time. Earlier in the graph is to the left. The X curve is left of the Y curve by one quarter period.
 
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