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

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

+10%

-10%

✖Sound Pressure Level is the pressure level of a sound, measured in decibels.ⓘ Sound Pressure Level in Decibels (Root Mean Square Pressure) [dB]

⎘ Copy

👎

Formula

✖

Sound Pressure Level in Decibels (Root Mean Square Pressure)

Formula

`"dB" = 20*log10("P"_{"rms"}/20)`

Example

`"25.10545dB"=20*log10("360Pa"/20)`

Calculator

LaTeX

Reset

👍

Download Environmental Engineering Formula PDF

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

STEP 0: Pre-Calculation Summary

Formula Used

Sound Pressure Level = 20*log10(Pressure RMS/20)
dB = 20*log10(P_rms/20)
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 Pressure Level - (Measured in Decibel) - Sound Pressure Level is the pressure level of a sound, measured in decibels.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure RMS: 360 Pascal --> 360 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

dB = 20*log10(P_rms/20) --> 20*log10(360/20)

Evaluating ... ...

dB = 25.1054501020661

STEP 3: Convert Result to Output's Unit

25.1054501020661 Decibel --> No Conversion Required

FINAL ANSWER

25.1054501020661 ≈ 25.10545 Decibel <-- Sound Pressure Level

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Noise Pollution » Characteristics of Sound and its Measurements » Sound Pressure » Sound Pressure Level in Decibels (Root Mean Square Pressure)

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

Suraj Kumar has verified this Calculator and 600+ more calculators!

< 4 Sound Pressure Calculators

Total Atmospheric Pressure given Sound Pressure

Go Atmospheric Pressure = Pressure+Barometric Pressure

Barometric Pressure given Sound Pressure

Go Barometric Pressure = Atmospheric Pressure-Pressure

Sound Pressure

Go Pressure = Atmospheric Pressure-Barometric Pressure

Sound Pressure Level in Decibels (Root Mean Square Pressure)

Go Sound Pressure Level = 20*log10(Pressure RMS/20)

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

Sound Pressure Level = 20*log10(Pressure RMS/20)
dB = 20*log10(P_rms/20)

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 Pressure Level = 20*log10(Pressure RMS/20) to calculate the Sound Pressure Level, Sound Pressure Level in Decibels (Root Mean Square Pressure) Pressure is the pressure level of a sound, measured in decibels (dB). Sound Pressure Level is denoted by dB 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 (P_rms) 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 -> -80 = 20*log10(360/20).

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 dB = 20*log10(P_rms/20) or Sound Pressure Level = 20*log10(Pressure RMS/20). Pressure RMS 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 Pressure Level = 20*log10(Pressure RMS/20). To calculate Sound Pressure Level in Decibels (Root Mean Square Pressure), you need Pressure RMS (P_rms). With our tool, you need to enter the respective value for Pressure RMS and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search