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Sound Wave Superposition

Sound Wave Superposition
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2016-01-14 18:07
FunctionTrigonometrySlider Animation
This example demonstrates the superposition of sound waves. By adjusting parameters, you can observe how waves of different frequencies and phases interact. Key mathematical concepts include trigonometric functions and differential equations. It utilizes GeoGebra's sine function, parametric equations, and slider animations. Suitable for high school physics and mathematics education.

GeoGebra Commands & Parameters

  1. Numeric a_1(-2.9)
  2. Numeric ω_1(-0.4)
  3. Numeric ψ_1(4.3)
  4. g(x) = (a_1 * sin((ω_1 * x) + ψ_1))
  5. Numeric a_2(-3.9)
  6. Numeric ω_2(-0.9)
  7. Numeric ψ_2(-2.1)
  8. h(x) = (a_2 * sin((ω_2 * x) + ψ_2))
  9. f(x) = (a_2 * sin(ω_2 + ψ_2))
  10. sum(x) = g(x) + h(x)