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Acoustics - Formula Sheet

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Key Formulas

FormulaDescriptionSymbol Definitions
V = n * λWave Velocity Equation
  • V: Velocity of the sound wave (ms-1)
  • n: Frequency of the wave (Hz)
  • λ: Wavelength of the wave (m)
n = 1 / TFrequency and Time Period Relationship
  • n: Frequency of the sound wave (Hz)
  • T: Time period of one wave cycle (s)
d = v * t / 2Minimum Distance for Echo Perception
  • d: Distance to reflecting surface (m)
  • v: Speed of sound in the medium (ms-1)
  • t: Total round-trip time for echo (s)
n' = [ (v ± vL) / (v ∓ vs) ] * nDoppler Effect General Equation
  • n': Apparent frequency heard by listener (Hz)
  • n: Original frequency of the source (Hz)
  • v: Velocity of sound in medium (ms-1)
  • vL: Velocity of the listener (ms-1)
  • vs: Velocity of the source (ms-1)
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