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Wave on a String

Transverse waves on a string with driven end, tension, and boundary conditions. Observe reflections, standing waves, and how frequency relates to wavelength.

Who it's for: Intro waves and sound; standing-wave labs and conceptual homework.

Key terms

  • transverse wave
  • standing wave
  • wavelength
  • frequency
  • boundary conditions

How it works

Discrete wave equation on a string with one driven end and one fixed end. Adjust frequency to see traveling pulses, reflections, and (with light damping) patterns resembling standing waves when the drive matches approximate resonance conditions.

Key equations

∂²y/∂t² = c² ∂²y/∂x² − γ ∂y/∂t
Fixed string (both ends) fundamental f₁ = c/(2L). Here the left end is driven, so the spectrum differs — use f as a sweep knob.

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