Engineering acoustics relies on core fundamental metrics and equations to quantify sound pressure, energy, impedance, and room characteristics.

spl, sound pressure level

reference acoustic pressure by medium

MediumReference Pressure, prefp_{ref} in ozf/in2 or osi
Air46.4 billionths
Freshwater2.32 billionths
Seawater2.32 billionths

Sound SourceSPL (dB)RMS acoustic pressure (osi)
140
130
120
110
100
90
80
70
60
50
40
30
20
10
0

Measures the logarithmic ratio of a sound pressure wave relative to the standard reference threshold of hearing in air (20 ฮผPa)

SPL = 20log10โก(p/pref)\log_{10} (p/p_{ref}) dB

acoustic impedence

Z=p/v=ฯcZ=p/v=\rho c

  • ZZ is acoustic impedanceย (Pa*s/m) or Rayls
  • pp is sound pressure
  • vv is particle velocity
  • ฯ\rho is medium density in kg/m3
  • cc is speed of sound

acoustic intensity

Itotal=prms2ฯocI_{total}=\frac{p_{rms}^2}{\rho_oc}

  • ItotalI_{total}
  • prmsp_{rms}
  • ฯ0\rho_0
  • cc

sound intensity level

a logarithmic measure of sound power per unit area, expressed in decibels (dB), relative to the threshold of human hearing (10โปยนยฒ W/mยฒ)

IL=IL=10log10โก(I/Iref)\log_{10} (I/I_{ref})

pressure spectrum level

the effective SPL of an acoustic signal contained within a frequency band of 1 Hz or 1 cycle/sec wide

PSL = SPL – 10log10โก(ฮ”f/1 Hz)\log_{10} (\Delta f/1 \space\text{Hz})

band level

BL = PSL + 10log10โก(ฮ”f/1 Hz)\log_{10} (\Delta f/1 \space\text{Hz})


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