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Water Surface Wave

Water Surface Wave
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2018-07-15 02:18
VectorTrigonometryCoordinate GeometryParametric EquationGraphing
This example demonstrates the mathematical model and visualization of water surface waves. It involves core concepts like coordinate geometry, trigonometry, vectors, and parametric equations. Constructed using GeoGebra's Curve and Surface commands with parameters t, ω, r, λ, a, b, A, etc., it models wave phenomena suitable for high school students and math enthusiasts.

GeoGebra Commands & Parameters

  1. CurveCartesian((u - (r * cos((ω * t) - (((2 * pi) * u)) / λ)), 0, (r * sin((ω * t) - (((2 * pi) * u)) / λ))), u, 0, (20 * pi)) → a
  2. Surface((u - (r * cos((ω * t) - (((2 * pi) * u)) / λ)), v, (r * sin((ω * t) - (((2 * pi) * u)) / λ))), u, (-pi), (20 * pi), v, -10, 10) → b