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National Institute of Technology (NIT), Jamshedpur
Anirudh Singh has created this Calculator and 300+ more calculators!
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Loudness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Loudness = 10*(log10(Sound Intensity/Reference Intensity))
L = 10*(log10(I/Iref))
This formula uses 1 Functions, 2 Variables
Functions Used
log10 - Common logarithm function (base 10), log10(Number)
Variables Used
Sound Intensity - Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. (Measured in Watt per Square Meter)
Reference Intensity - Reference Intensity is the lowest intensity of sound a person with normal hearing can perceive. (Measured in Watt per Square Meter)
STEP 1: Convert Input(s) to Base Unit
Sound Intensity: 50 Watt per Square Meter --> 50 Watt per Square Meter No Conversion Required
Reference Intensity: 0.001 Watt per Square Meter --> 0.001 Watt per Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = 10*(log10(I/Iref)) --> 10*(log10(50/0.001))
Evaluating ... ...
L = 46.9897000433602
STEP 3: Convert Result to Output's Unit
46.9897000433602 Decibel --> No Conversion Required
FINAL ANSWER
46.9897000433602 Decibel <-- Loudness
(Calculation completed in 00.000 seconds)
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Loudness Formula

Loudness = 10*(log10(Sound Intensity/Reference Intensity))
L = 10*(log10(I/Iref))

What is intensity of sound?

Intensity Of Sound is the quality or state of being intense especially , extreme degree of strength , force , energy or feeling . It is a magnitude of quantity per unit area.

How to Calculate Loudness?

Loudness calculator uses Loudness = 10*(log10(Sound Intensity/Reference Intensity)) to calculate the Loudness, Loudness refers to how loud or soft a sound seems to a listener. The loudness of sound is determined, in turn, by the intensity of the sound waves. Intensity is a measure of the amount of energy in sound waves. Loudness is denoted by L symbol.

How to calculate Loudness using this online calculator? To use this online calculator for Loudness, enter Sound Intensity (I) & Reference Intensity (Iref) and hit the calculate button. Here is how the Loudness calculation can be explained with given input values -> 46.9897 = 10*(log10(50/0.001)).

FAQ

What is Loudness?
Loudness refers to how loud or soft a sound seems to a listener. The loudness of sound is determined, in turn, by the intensity of the sound waves. Intensity is a measure of the amount of energy in sound waves and is represented as L = 10*(log10(I/Iref)) or Loudness = 10*(log10(Sound Intensity/Reference Intensity)). Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area & Reference Intensity is the lowest intensity of sound a person with normal hearing can perceive.
How to calculate Loudness?
Loudness refers to how loud or soft a sound seems to a listener. The loudness of sound is determined, in turn, by the intensity of the sound waves. Intensity is a measure of the amount of energy in sound waves is calculated using Loudness = 10*(log10(Sound Intensity/Reference Intensity)). To calculate Loudness, you need Sound Intensity (I) & Reference Intensity (Iref). With our tool, you need to enter the respective value for Sound Intensity & Reference 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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