✖Pressure RMS in Micropascal is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.ⓘ Pressure RMS in Micropascal [P_m]

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✖Sound level in decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.ⓘ Sound Pressure Level in Decibels (Root Mean Square Pressure) [L]

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Formula

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Sound Pressure Level in Decibels (Root Mean Square Pressure)

Formula

`"L" = 20*log10("P"_{"m"}/(20*10^(-6)))`

Example

`"20dB"=20*log10("200μPa"/(20*10^(-6)))`

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Sound Pressure Level in Decibels (Root Mean Square Pressure) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6)))
L = 20*log10(P_m/(20*10^(-6)))
This formula uses 1 Functions, 2 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Sound Level in Decibels - (Measured in Decibel) - Sound level in decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.
Pressure RMS in Micropascal - (Measured in Pascal) - Pressure RMS in Micropascal is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.

STEP 1: Convert Input(s) to Base Unit

Pressure RMS in Micropascal: 200 Micropascal --> 0.0002 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = 20*log10(P_m/(20*10^(-6))) --> 20*log10(0.0002/(20*10^(-6)))

Evaluating ... ...

L = 20

STEP 3: Convert Result to Output's Unit

20 Decibel --> No Conversion Required

FINAL ANSWER

20 Decibel <-- Sound Level in Decibels

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 4 Sound Pressure Calculators

Sound Pressure Level in Decibels (Root Mean Square Pressure)

Go Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6)))

Total Atmospheric Pressure given Sound Pressure

Go Total Atmospheric Pressure = Pressure+Barometric Pressure

Barometric Pressure given Sound Pressure

Go Barometric Pressure = Total Atmospheric Pressure-Pressure

Sound Pressure

Go Pressure = Total Atmospheric Pressure-Barometric Pressure

Sound Pressure Level in Decibels (Root Mean Square Pressure) Formula

Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6)))
L = 20*log10(P_m/(20*10^(-6)))

What is root mean square pressure?

Root mean square pressure is the square root of the average of the square of the pressure of the sound signal over a given duration.

How to Calculate Sound Pressure Level in Decibels (Root Mean Square Pressure)?

Sound Pressure Level in Decibels (Root Mean Square Pressure) calculator uses Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6))) to calculate the Sound Level in Decibels, Sound Pressure Level in Decibels (Root Mean Square Pressure) Pressure is the pressure level of a sound, measured in decibels (dB). Sound Level in Decibels is denoted by L symbol.

How to calculate Sound Pressure Level in Decibels (Root Mean Square Pressure) using this online calculator? To use this online calculator for Sound Pressure Level in Decibels (Root Mean Square Pressure), enter Pressure RMS in Micropascal (P_m) and hit the calculate button. Here is how the Sound Pressure Level in Decibels (Root Mean Square Pressure) calculation can be explained with given input values -> 25.10545 = 20*log10(0.0002/(20*10^(-6))).

FAQ

What is Sound Pressure Level in Decibels (Root Mean Square Pressure)?

Sound Pressure Level in Decibels (Root Mean Square Pressure) Pressure is the pressure level of a sound, measured in decibels (dB) and is represented as L = 20*log10(P_m/(20*10^(-6))) or Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6))). Pressure RMS in Micropascal is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.

How to calculate Sound Pressure Level in Decibels (Root Mean Square Pressure)?

Sound Pressure Level in Decibels (Root Mean Square Pressure) Pressure is the pressure level of a sound, measured in decibels (dB) is calculated using Sound Level in Decibels = 20*log10(Pressure RMS in Micropascal/(20*10^(-6))). To calculate Sound Pressure Level in Decibels (Root Mean Square Pressure), you need Pressure RMS in Micropascal (P_m). With our tool, you need to enter the respective value for Pressure RMS in Micropascal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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