ACOUSTICS & VIBRATIONS

sound pressure level

uses a logarithmic scale to express the magnitude of the root mean square sound pressure relative to the reference value.

Lp=20log⁡10prmsp0L_p=20\log_{10}\frac{p_{rms}}{p_0}

symbols, variables and units

L_p: dB; p_rms,p₀: Pa; p₀ in air is usually 20 μPa.

applicable conditions and boundaries

Reference sound pressure, frequency weighting and integration time must be specified.

formula source code

The following is a copyable LaTeX expression.

L_p=20\log_{10}\frac{p_{rms}}{p_0}

Reference and Extended Learning

OpenStax · University Physics Volume 1, Sound ↗

is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.

sound pressure leveldecibels

Same subject formula

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