✖The Pressure RMS refers to 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%
✖The Density of Air refers to the mass per unit volume of Earth's atmosphere, typically around 1.225 kg/m³ at sea level and 15°C, affecting sound propagation and weather.ⓘ Density of Air [ρ]			+10% -10%
✖The Velocity of Sound Wave refers to the speed of sound with the distance traveled per unit of time by a sound wave.ⓘ Velocity of Sound Wave [C]			+10% -10%

✖The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).ⓘ Sound Intensity with respect to Sound Pressure [I]

⎘ Copy

👎

Formula

✖

Sound Intensity with respect to Sound Pressure

Formula

`"I" = (("P"_{"rms"}^2)/("ρ"*"C"))`

Example

`"9.9E^-11W/m²"=((("0.00021Pa")^2)/("1.293kg/m³"*"343m/s"))`

Calculator

LaTeX

Reset

👍

Download Noise Pollution Formulas PDF PDF Image

Sound Intensity with respect to Sound Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave))
I = ((P_rms^2)/(ρ*C))
This formula uses 4 Variables

Variables Used

Sound Intensity Level - (Measured in Watt per Square Meter) - The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).
Pressure RMS - (Measured in Pascal) - The Pressure RMS refers to the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.
Density of Air - (Measured in Kilogram per Cubic Meter) - The Density of Air refers to the mass per unit volume of Earth's atmosphere, typically around 1.225 kg/m³ at sea level and 15°C, affecting sound propagation and weather.
Velocity of Sound Wave - (Measured in Meter per Second) - The Velocity of Sound Wave refers to the speed of sound with the distance traveled per unit of time by a sound wave.

STEP 1: Convert Input(s) to Base Unit

Pressure RMS: 0.00021 Pascal --> 0.00021 Pascal No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required
Velocity of Sound Wave: 343 Meter per Second --> 343 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = ((P_rms^2)/(ρ*C)) --> ((0.00021^2)/(1.293*343))

Evaluating ... ...

I = 9.94365263506795E-11

STEP 3: Convert Result to Output's Unit

9.94365263506795E-11 Watt per Square Meter --> No Conversion Required

FINAL ANSWER

9.94365263506795E-11 ≈ 9.9E-11 Watt per Square Meter <-- Sound Intensity Level

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Environmental Engineering » Noise Pollution » Characteristics of Sound and its Measurements » Sound Intensity » Sound Intensity with respect to Sound 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!

< 7 Sound Intensity Calculators

Sound Intensity with respect to Sound Pressure

Go Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave))

Density of Air given Sound Intensity

Go Density of Air = Pressure RMS^2/(Sound Intensity Level*Velocity of Sound Wave)

Sound Intensity Level

Go Sound Level in Decibels = 10*log10(Sound Intensity Level/10^-12)

Power of Sound Wave given Sound Intensity

Go Sound Power = Sound Intensity Level*Area for Sound Intensity

Unit Area given Sound Intensity

Go Area for Sound Intensity = Sound Power/Sound Intensity Level

Sound Intensity

Go Sound Intensity Level = Sound Power/Area for Sound Intensity

Sound Intensity using Sound Intensity Level

Go Sound Intensity Level = (10^-12)*10^(Sound Level in Decibels/10)

Sound Intensity with respect to Sound Pressure Formula

Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave))
I = ((P_rms^2)/(ρ*C))

What is Sound Pressure?

Sound Pressure or acoustic pressure is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave. In air, sound pressure can be measured using a microphone, and in water with a hydrophone. The SI unit of sound pressure is the pascal.

How to Calculate Sound Intensity with respect to Sound Pressure?

Sound Intensity with respect to Sound Pressure calculator uses Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)) to calculate the Sound Intensity Level, The Sound Intensity with respect to Sound Pressure formula is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Sound Intensity Level is denoted by I symbol.

How to calculate Sound Intensity with respect to Sound Pressure using this online calculator? To use this online calculator for Sound Intensity with respect to Sound Pressure, enter Pressure RMS (P_rms), Density of Air (ρ) & Velocity of Sound Wave (C) and hit the calculate button. Here is how the Sound Intensity with respect to Sound Pressure calculation can be explained with given input values -> 9E-9 = ((0.00021^2)/(1.293*343)).

FAQ

What is Sound Intensity with respect to Sound Pressure?

The Sound Intensity with respect to Sound Pressure formula is defined as the power carried by sound waves per unit area in a direction perpendicular to that area and is represented as I = ((P_rms^2)/(ρ*C)) or Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)). The Pressure RMS refers to the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave, The Density of Air refers to the mass per unit volume of Earth's atmosphere, typically around 1.225 kg/m³ at sea level and 15°C, affecting sound propagation and weather & The Velocity of Sound Wave refers to the speed of sound with the distance traveled per unit of time by a sound wave.

How to calculate Sound Intensity with respect to Sound Pressure?

The Sound Intensity with respect to Sound Pressure formula is defined as the power carried by sound waves per unit area in a direction perpendicular to that area is calculated using Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)). To calculate Sound Intensity with respect to Sound Pressure, you need Pressure RMS (P_rms), Density of Air (ρ) & Velocity of Sound Wave (C). With our tool, you need to enter the respective value for Pressure RMS, Density of Air & Velocity of Sound Wave 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 Sound Intensity Level?

In this formula, Sound Intensity Level uses Pressure RMS, Density of Air & Velocity of Sound Wave. We can use 2 other way(s) to calculate the same, which is/are as follows -

Sound Intensity Level = Sound Power/Area for Sound Intensity
Sound Intensity Level = (10^-12)*10^(Sound Level in Decibels/10)

Home

FREE PDFs

🔍 Search