Out of Phase Waves: Solving the Relevant Equation

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SUMMARY

The discussion focuses on the phase relationship between two waves, specifically identifying that the waves are 90 degrees out of phase, represented as π/2. The key insight is that wave X oscillates upward before wave Y, indicating that wave X is ahead of wave Y in time. This conclusion is drawn from analyzing the waveforms at a specific time (t=0) and observing their positions, confirming that wave X leads wave Y by one quarter of a period.

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ravsterphysics
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2. Relevant equation

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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