Loudness Calculator

✖Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.ⓘ Sound Intensity [I_s]			+10% -10%
✖Reference Intensity is a measure of the amplitude or magnitude of a wave, representing the maximum amount of energy carried by the wave at a given point in space.ⓘ Reference Intensity [I_ref]			+10% -10%

✖Loudness is a measure of the amplitude or intensity of sound waves, which determines the perceived volume or loudness of a sound.ⓘ Loudness [Q]

⎘ Copy

👎

Formula

✖

Loudness

Formula

Q = 10 \cdot \log 10 (\frac{I s}{I ref})

Example

48.75061 dB = 10 \cdot \log 10 (\frac{75 W/m²}{0.001 W/m²})

Calculator

LaTeX

Reset

👍

Download Wave Properties and Equations Formulas PDF PDF Image

Loudness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loudness = 10*log10(Sound Intensity/Reference Intensity)
Q = 10*log10(I_s/I_ref)
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 sound waves, which determines the perceived volume or loudness of a sound.
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.
Reference Intensity - (Measured in Watt per Square Meter) - Reference Intensity is a measure of the amplitude or magnitude of a wave, representing the maximum amount of energy carried by the wave at a given point in space.

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(I_s/I_ref) --> 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 00.004 seconds)

You are here -

Home » Physics » Wave Properties and Equations » Basic Physics » Optics and Waves » Waves and Sound » Wave Characteristics » Loudness

Credits

Created by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has created this Calculator and 300+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Wave Characteristics Calculators

Mass per Unit Length of String

Go Mass per Unit Length = Tension of String/(Velocity of Wave^2)

Tension in String

Go Tension of String = Velocity of Wave^2*Mass per Unit Length

Wave Number using Angular Frequency

Go Wave Number = Angular Frequency/Velocity of Wave

Wave Number

Go Wave Number = (2*pi)/Wavelength

Loudness Formula

Loudness = 10*log10(Sound Intensity/Reference Intensity)
Q = 10*log10(I_s/I_ref)

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 (I_s) & Reference Intensity (I_ref) 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(I_s/I_ref) 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 a measure of the amplitude or magnitude of a wave, representing the maximum amount of energy carried by the wave at a given point in space.

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 (I_s) & Reference Intensity (I_ref). 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.

Home

FREE PDFs

🔍 Search