Sound Intensity with respect to Sound Pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sound Intensity = ((Sound pressure^2)/(Density of Air*Velocity of sound wave))
l = ((p^2)/(ρ*C))
This formula uses 4 Variables
Variables Used
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.
Sound pressure - (Measured in Pascal) - Sound pressure or acoustic pressure is the local pressure deviation from the ambient (average or equilibrium) atmospheric pressure, caused by a sound wave.
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.
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
Sound pressure: 2 Pascal --> 2 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: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = ((p^2)/(ρ*C)) --> ((2^2)/(1.293*10))
Evaluating ... ...
l = 0.309358081979892
STEP 3: Convert Result to Output's Unit
0.309358081979892 Watt per Square Meter --> No Conversion Required
FINAL ANSWER
0.309358081979892 0.309358 Watt per Square Meter <-- Sound Intensity
(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)

Sound Intensity with respect to Sound Pressure Formula

Sound Intensity = ((Sound pressure^2)/(Density of Air*Velocity of sound wave))
l = ((p^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 = ((Sound pressure^2)/(Density of Air*Velocity of sound wave)) to calculate the Sound Intensity, The Sound Intensity with respect to Sound Pressure is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Sound Intensity is denoted by l 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 Sound pressure (p), 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 -> 0.309358 = ((2^2)/(1.293*10)).

FAQ

What is Sound Intensity with respect to Sound Pressure?
The Sound Intensity with respect to Sound Pressure is defined as the power carried by sound waves per unit area in a direction perpendicular to that area and is represented as l = ((p^2)/(ρ*C)) or Sound Intensity = ((Sound pressure^2)/(Density of Air*Velocity of sound wave)). Sound pressure or acoustic pressure is the local pressure deviation from the ambient (average or equilibrium) atmospheric pressure, caused by a sound wave, Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure & 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 Sound Intensity with respect to Sound Pressure?
The Sound Intensity with respect to Sound Pressure is defined as the power carried by sound waves per unit area in a direction perpendicular to that area is calculated using Sound Intensity = ((Sound pressure^2)/(Density of Air*Velocity of sound wave)). To calculate Sound Intensity with respect to Sound Pressure, you need Sound pressure (p), Density of Air (ρ) & Velocity of sound wave (C). With our tool, you need to enter the respective value for Sound pressure, 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?
In this formula, Sound Intensity uses Sound pressure, 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 = Sound Power/Area
  • Sound Intensity = (10^-12)*10^(Sound intensity level/10)
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