Root Mean Square Pressure when Sound Pressure Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure RMS = 20*10^(Sound Pressure Level/20)
Prms = 20*10^(dB/20)
This formula uses 2 Variables
Variables Used
Pressure RMS - (Measured in Pascal) - Pressure RMS is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.
Sound Pressure Level - (Measured in Decibel) - Sound Pressure Level is the pressure level of a sound, measured in decibels.
STEP 1: Convert Input(s) to Base Unit
Sound Pressure Level: 25 Decibel --> 25 Decibel No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Prms = 20*10^(dB/20) --> 20*10^(25/20)
Evaluating ... ...
Prms = 355.655882007785
STEP 3: Convert Result to Output's Unit
355.655882007785 Pascal --> No Conversion Required
FINAL ANSWER
355.655882007785 355.6559 Pascal <-- Pressure RMS
(Calculation completed in 00.004 seconds)

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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2 Root Mean Square Pressure Calculators

Root Mean Square Pressure given Sound Intensity
Go Pressure RMS = sqrt(Sound Intensity*Density of Air*Velocity of sound wave)
Root Mean Square Pressure when Sound Pressure Level
Go Pressure RMS = 20*10^(Sound Pressure Level/20)

Root Mean Square Pressure when Sound Pressure Level Formula

Pressure RMS = 20*10^(Sound Pressure Level/20)
Prms = 20*10^(dB/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 = 20*10^(Sound Pressure Level/20) to calculate the Pressure RMS, The Root Mean Square Pressure when Sound Pressure Level is the square root of the average of the square of the pressure of the sound signal over a given duration. Pressure RMS is denoted by Prms 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 Pressure Level (dB) 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 -> 355.6559 = 20*10^(25/20).

FAQ

What is Root Mean Square Pressure when Sound Pressure Level?
The Root Mean Square Pressure when Sound Pressure Level is the square root of the average of the square of the pressure of the sound signal over a given duration and is represented as Prms = 20*10^(dB/20) or Pressure RMS = 20*10^(Sound Pressure Level/20). Sound Pressure Level is the pressure level of a sound, measured in decibels.
How to calculate Root Mean Square Pressure when Sound Pressure Level?
The Root Mean Square Pressure when Sound Pressure Level is the square root of the average of the square of the pressure of the sound signal over a given duration is calculated using Pressure RMS = 20*10^(Sound Pressure Level/20). To calculate Root Mean Square Pressure when Sound Pressure Level, you need Sound Pressure Level (dB). With our tool, you need to enter the respective value for Sound Pressure Level and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Pressure RMS?
In this formula, Pressure RMS uses Sound Pressure Level. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Pressure RMS = sqrt(Sound Intensity*Density of Air*Velocity of sound wave)
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