Wave Displacement Graphs

Wave Displacement vs Time Graphs

This simulation shows displacement-time graphs at different positions for a traveling wave.

Question 9: For the wave described:

y(x, t) = 3 sin(36t + 0.018x + π/4)

Plot y vs t graphs for x = 0, 2, and 4 cm and analyze the oscillatory motion.

x = 0 cm
x = 2 cm
x = 4 cm
Value: 5.0 s
Points: 50

Analysis

Three sine waves with identical amplitude and frequency but different phases.

Key Observations:

  • All points oscillate with the same amplitude (3 cm)
  • All points oscillate with the same frequency (36 rad/s)
  • Points differ only in their phase due to their positions

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