Density of Air given Sound Intensity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Density of Air = Pressure RMS^2/(Sound Intensity*Velocity of sound wave)
ρ = Prms^2/(l*C)
This formula uses 4 Variables
Variables Used
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.
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 Intensity - (Measured in Watt per Square Meter) - Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
Velocity of sound wave - (Measured in Meter per Second) - The Velocity of sound wave is 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: 0.002 Pascal --> 0.002 Pascal No Conversion Required
Sound Intensity: 0.00128 Watt per Square Meter --> 0.00128 Watt per Square Meter No Conversion Required
Velocity of sound wave: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρ = Prms^2/(l*C) --> 0.002^2/(0.00128*10)
Evaluating ... ...
ρ = 0.0003125
STEP 3: Convert Result to Output's Unit
0.0003125 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
0.0003125 0.000312 Kilogram per Cubic Meter <-- Density of Air
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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Birsa Institute of Technology (BIT), Sindri
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7 Sound Intensity Calculators

Sound Intensity with respect to Sound Pressure
Go Sound Intensity = ((Sound pressure^2)/(Density of Air*Velocity of sound wave))
Density of Air given Sound Intensity
Go Density of Air = Pressure RMS^2/(Sound Intensity*Velocity of sound wave)
Sound Intensity Level
Go Sound intensity level = 10*log10(Sound Intensity/10^-12)
Power of Sound Wave given Sound Intensity
Go Sound Power = Sound Intensity*Area
Unit Area given Sound Intensity
Go Area = Sound Power/Sound Intensity
Sound Intensity
Go Sound Intensity = Sound Power/Area
Sound Intensity using Sound Intensity Level
Go Sound Intensity = (10^-12)*10^(Sound intensity level/10)

Density of Air given Sound Intensity Formula

Density of Air = Pressure RMS^2/(Sound Intensity*Velocity of sound wave)
ρ = Prms^2/(l*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*Velocity of sound wave) to calculate the Density of Air, Density of Air given Sound Intensity denoted as ρ, is 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 (Prms), Sound Intensity (l) & 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 -> 0.000312 = 0.002^2/(0.00128*10).

FAQ

What is Density of Air given Sound Intensity?
Density of Air given Sound Intensity denoted as ρ, is mass per unit volume of Earth's atmosphere and is represented as ρ = Prms^2/(l*C) or Density of Air = Pressure RMS^2/(Sound Intensity*Velocity of sound wave). Pressure RMS is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave, Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area & The Velocity of sound wave is 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?
Density of Air given Sound Intensity denoted as ρ, is mass per unit volume of Earth's atmosphere is calculated using Density of Air = Pressure RMS^2/(Sound Intensity*Velocity of sound wave). To calculate Density of Air given Sound Intensity, you need Pressure RMS (Prms), Sound Intensity (l) & Velocity of sound wave (C). With our tool, you need to enter the respective value for Pressure RMS, Sound Intensity & 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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