Root Mean Square Pressure when Sound Pressure Level Calculator

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

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✖The Pressure RMS in Micropascal refers to the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.ⓘ Root Mean Square Pressure when Sound Pressure Level [P_m]

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Root Mean Square Pressure when Sound Pressure Level Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Pressure RMS in Micropascal - (Measured in Pascal) - The Pressure RMS in Micropascal refers to the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.
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.

STEP 1: Convert Input(s) to Base Unit

Sound Level in Decibels: 20 Decibel --> 20 Decibel No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

P_m = 0.0002

STEP 3: Convert Result to Output's Unit

0.0002 Pascal -->200 Micropascal (Check conversion here)

FINAL ANSWER

200 Micropascal <-- Pressure RMS in Micropascal

(Calculation completed in 00.007 seconds)

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Credits

Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has created this Calculator and 500+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Root Mean Square Pressure Calculators

Root Mean Square Pressure given Sound Intensity

LaTeX Go Pressure RMS = sqrt(Sound Intensity Level*Density of Air*Velocity of Sound Wave)

Root Mean Square Pressure when Sound Pressure Level

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

Root Mean Square Pressure when Sound Pressure Level Formula

LaTeX Go

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

What is Sound Pressure Level?

Sound pressure level is the pressure level of a sound, measured in decibels (dB). The sound pressure level is the most commonly used indicator of the acoustic wave strength.

How to Calculate Root Mean Square Pressure when Sound Pressure Level?

Root Mean Square Pressure when Sound Pressure Level calculator uses Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20) to calculate the Pressure RMS in Micropascal, The Root Mean Square Pressure when Sound Pressure Level formula is defined as the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave. Pressure RMS in Micropascal is denoted by P_m symbol.

How to calculate Root Mean Square Pressure when Sound Pressure Level using this online calculator? To use this online calculator for Root Mean Square Pressure when Sound Pressure Level, enter Sound Level in Decibels (L) and hit the calculate button. Here is how the Root Mean Square Pressure when Sound Pressure Level calculation can be explained with given input values -> 2E+8 = (20*10^(-6))*10^(20/20).

FAQ

What is Root Mean Square Pressure when Sound Pressure Level?

The Root Mean Square Pressure when Sound Pressure Level formula is defined as the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave and is represented as P_m = (20*10^(-6))*10^(L/20) or Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20). Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.

How to calculate Root Mean Square Pressure when Sound Pressure Level?

The Root Mean Square Pressure when Sound Pressure Level formula is defined as the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave is calculated using Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20). To calculate Root Mean Square Pressure when Sound Pressure Level, you need Sound Level in Decibels (L). With our tool, you need to enter the respective value for Sound Level in Decibels 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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