Sound Intensity Level Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sound intensity level = 10*log10(Sound Intensity/10^-12)
β = 10*log10(l/10^-12)
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 intensity level - (Measured in Decibel) - Sound intensity level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value.
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.
STEP 1: Convert Input(s) to Base Unit
Sound Intensity: 0.00128 Watt per Square Meter --> 0.00128 Watt per Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
β = 10*log10(l/10^-12) --> 10*log10(0.00128/10^-12)
Evaluating ... ...
β = 91.0720996964787
STEP 3: Convert Result to Output's Unit
91.0720996964787 Decibel --> No Conversion Required
FINAL ANSWER
91.0720996964787 91.0721 Decibel <-- Sound intensity level
(Calculation completed in 00.004 seconds)

Credits

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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!
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Verified by Suraj Kumar
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 Level Formula

Sound intensity level = 10*log10(Sound Intensity/10^-12)
β = 10*log10(l/10^-12)

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 Sound Intensity Level?

Sound Intensity Level calculator uses Sound intensity level = 10*log10(Sound Intensity/10^-12) to calculate the Sound intensity level, The Sound Intensity Level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value. Sound intensity level is denoted by β symbol.

How to calculate Sound Intensity Level using this online calculator? To use this online calculator for Sound Intensity Level, enter Sound Intensity (l) and hit the calculate button. Here is how the Sound Intensity Level calculation can be explained with given input values -> 91.0721 = 10*log10(0.00128/10^-12).

FAQ

What is Sound Intensity Level?
The Sound Intensity Level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value and is represented as β = 10*log10(l/10^-12) or Sound intensity level = 10*log10(Sound Intensity/10^-12). Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
How to calculate Sound Intensity Level?
The Sound Intensity Level is the level (a logarithmic quantity) of the intensity of a sound relative to a reference value is calculated using Sound intensity level = 10*log10(Sound Intensity/10^-12). To calculate Sound Intensity Level, you need Sound Intensity (l). With our tool, you need to enter the respective value for Sound Intensity 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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