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Doppler Effect and Mach 1

Doppler Effect and Mach 1
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2024-10-14 20:16
In collections The Domain of the Time (intuitive kinematics)
This example demonstrates the relationship between sound speed and Mach number using GeoGebra, showing the graphical representation of sound propagation. Key mathematical concepts include vectors, functions, and geometric constructions. Construction involves using commands like Sequence, Vector, and If to create dynamic graphics, and applying coordinate geometry and locus analysis to visualize sou

GeoGebra Commands & Parameters

  1. Sequence(Circle[M - ((r + st) / vs * v), r + st], r, -300, 2000 - st, 50) → ondas
  2. Vector(A, B) → u
  3. Vector(B, A) → w
  4. If(80 < v0 ≤ 110, (v0 / 5 - 16)°, 110 < v0 ≤ 140, (28 - v0 / 5)°, 0) → ω
  5. If(80 < v0 < 140, Rotate[P1, ω, (P1 + P2) / 2], P1) → Q1
  6. If(80 < v0 < 140, Rotate[P2, ω, (P1 + P2) / 2], P2) → Q2