Density of Air given Sound Intensity Calculator

✖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 Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).ⓘ Sound Intensity Level [I]			+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 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 given Sound Intensity [ρ]

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Density of Air given Sound Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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).
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
Sound Intensity Level: 1E-10 Watt per Square Meter --> 1E-10 Watt per Square 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

ρ = P_rms^2/(I*C) --> 0.00021^2/(1E-10*343)

Evaluating ... ...

ρ = 1.28571428571429

STEP 3: Convert Result to Output's Unit

1.28571428571429 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.28571428571429 ≈ 1.285714 Kilogram per Cubic Meter <-- Density of Air

(Calculation completed in 00.005 seconds)

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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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< Sound Intensity Calculators

Sound Intensity with respect to Sound Pressure

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

Sound Intensity Level

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

Sound Intensity

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

Sound Intensity using Sound Intensity Level

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

Density of Air given Sound Intensity Formula

LaTeX Go

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

What is Sound Intensity?

Sound Intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

How to Calculate Density of Air given Sound Intensity?

Density of Air given Sound Intensity calculator uses Density of Air = Pressure RMS^2/(Sound Intensity Level*Velocity of Sound Wave) to calculate the Density of Air, The Density of Air given Sound Intensity formula is defined as the mass per unit volume of Earth's atmosphere. Density of Air is denoted by ρ symbol.

How to calculate Density of Air given Sound Intensity using this online calculator? To use this online calculator for Density of Air given Sound Intensity, enter Pressure RMS (P_rms), Sound Intensity Level (I) & Velocity of Sound Wave (C) and hit the calculate button. Here is how the Density of Air given Sound Intensity calculation can be explained with given input values -> 116.6181 = 0.00021^2/(1E-10*343).

FAQ

What is Density of Air given Sound Intensity?

The Density of Air given Sound Intensity formula is defined as the mass per unit volume of Earth's atmosphere and is represented as ρ = P_rms^2/(I*C) or Density of Air = Pressure RMS^2/(Sound Intensity Level*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 Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB) & 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 Density of Air given Sound Intensity?

The Density of Air given Sound Intensity formula is defined as the mass per unit volume of Earth's atmosphere is calculated using Density of Air = Pressure RMS^2/(Sound Intensity Level*Velocity of Sound Wave). To calculate Density of Air given Sound Intensity, you need Pressure RMS (P_rms), Sound Intensity Level (I) & Velocity of Sound Wave (C). With our tool, you need to enter the respective value for Pressure RMS, Sound Intensity Level & 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.

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