Understanding the Basics of Wave Phases for Beginners

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SUMMARY

This discussion centers on understanding wave phases, specifically the concept of phase (φ) in oscillatory motion. The equation for oscillation at a fixed point is given as y = A cos(ωt - φ), where φ represents the phase. Participants clarify that an anti-node corresponds to maximum amplitude while a node corresponds to minimum amplitude. The key question raised is whether the phase φ changes as a point moves along the wave from position X to position Y.

PREREQUISITES
  • Basic understanding of wave mechanics
  • Familiarity with oscillation equations
  • Knowledge of amplitude concepts (nodes and anti-nodes)
  • Understanding of trigonometric functions in physics
NEXT STEPS
  • Study the implications of phase shifts in wave interference
  • Learn about the relationship between phase and wave speed
  • Explore the concept of standing waves and their characteristics
  • Investigate the effects of phase on sound waves in different media
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Students studying physics, educators teaching wave mechanics, and anyone interested in the fundamentals of oscillatory motion and wave behavior.

K41
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Wave Phases? Wtf?

Homework Statement



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The Attempt at a Solution



I managed to do the first part, but not the second part regarding phases. I don't have a clue how to work the second part out. I know that an anti-node is maximum amplitude and a node is at minimum amplitude. But I don't have a clue how to work out phases, nor do I understand what phase means or why it is used.
 
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Welcome to Physics Forums.

It may help to write out the general equation for oscillation at a fixed point:

y = A cos(ωt - φ)​

φ is the phase they are speaking of. The question is, essentially, does φ change as the point P moves from X to Y.
 

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