Loudness Solution

STEP 0: Pre-Calculation Summary
Formula Used
Loudness = 10*log10(Sound Intensity/Reference Intensity)
Q = 10*log10(Is/Iref)
This formula uses 1 Functions, 3 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
Loudness - (Measured in Decibel) - Loudness is a measure of the amplitude or intensity of a sound wave, typically measured in decibels, which determines the perceived volume of the sound.
Sound Intensity - (Measured in Watt per Square Meter) - Sound Intensity is a measure of the amplitude or loudness of a sound wave, typically measured in decibels, and is a fundamental property of wave propagation.
Reference Intensity - (Measured in Watt per Square Meter) - Reference Intensity is the measure of the amplitude or magnitude of a wave, indicating the amount of energy it carries or its loudness.
STEP 1: Convert Input(s) to Base Unit
Sound Intensity: 75 Watt per Square Meter --> 75 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
Q = 10*log10(Is/Iref) --> 10*log10(75/0.001)
Evaluating ... ...
Q = 48.750612633917
STEP 3: Convert Result to Output's Unit
48.750612633917 Decibel --> No Conversion Required
FINAL ANSWER
48.750612633917 48.75061 Decibel <-- Loudness
(Calculation completed in 00.008 seconds)

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Created by Anirudh Singh
National Institute of Technology (NIT), Jamshedpur
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Loudness Formula

​LaTeX ​Go
Loudness = 10*log10(Sound Intensity/Reference Intensity)
Q = 10*log10(Is/Iref)

What is intensity of sound?

The intensity of sound refers to the amount of energy a sound wave carries per unit area in a direction perpendicular to that area. It determines the loudness of the sound and is measured in decibels (dB). Higher intensity means a louder sound, while lower intensity means a softer sound.






How to Calculate Loudness?

Loudness calculator uses Loudness = 10*log10(Sound Intensity/Reference Intensity) to calculate the Loudness, Loudness formula is defined as a measure of the intensity of sound, which is a subjective perception of the pressure and frequency of sound waves, and is typically expressed in decibels, providing a way to quantify and compare the loudness of different sounds. Loudness is denoted by Q symbol.

How to calculate Loudness using this online calculator? To use this online calculator for Loudness, enter Sound Intensity (Is) & Reference Intensity (Iref) and hit the calculate button. Here is how the Loudness calculation can be explained with given input values -> 48.75061 = 10*log10(75/0.001).

FAQ

What is Loudness?
Loudness formula is defined as a measure of the intensity of sound, which is a subjective perception of the pressure and frequency of sound waves, and is typically expressed in decibels, providing a way to quantify and compare the loudness of different sounds and is represented as Q = 10*log10(Is/Iref) or Loudness = 10*log10(Sound Intensity/Reference Intensity). Sound Intensity is a measure of the amplitude or loudness of a sound wave, typically measured in decibels, and is a fundamental property of wave propagation & Reference Intensity is the measure of the amplitude or magnitude of a wave, indicating the amount of energy it carries or its loudness.
How to calculate Loudness?
Loudness formula is defined as a measure of the intensity of sound, which is a subjective perception of the pressure and frequency of sound waves, and is typically expressed in decibels, providing a way to quantify and compare the loudness of different sounds is calculated using Loudness = 10*log10(Sound Intensity/Reference Intensity). To calculate Loudness, you need Sound Intensity (Is) & 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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