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Intensity and Loudness of Sound Waves Calculator

The Intensity and Loudness of Sound Waves Calculator will calculate the:

  1. Intensity of sound waves when energy of sound and distance from the source are known.
  2. Loudness of sound waves when their intensity is known.
Intensity and Loudness of Sound Waves Calculator
Intensity and Loudness of Sound Waves Calculator Results (detailed calculations and formula below)
The intensity of sound waves when energy of sound and distance from the source are known is W/m2
The loudness of sound waves when their intensity is known is dB
Intensity of sound wave calculation
I = E × v/4π × r3
I = × /(4 × ) × 3
I = / ×
I = /
I =
Loudness of sound wave calculation
L(dB) = 10 × logE × v/4π × r3 × I0
L(dB) = 10 × log × /(4 × ) × 3 ×
L(dB) = 10 × log/ × ×
L(dB) = 10 × log/
L(dB) = 10 × log()
L(dB) = 10 ×
L(dB) =
Intensity And Loudness Of Sound Waves Calculator Input Values
Energy of sound waves (E) J
Speed of sound wave (v) m/s
Distance from the source (r) m
Archimedes constant (π)
Threshold of hearing (I0) W/m2

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each intensity and loudness of sound waves calculation, the Intensity And Loudness Of Sound Waves Calculator will automatically calculate the results and update the Physics formula elements with each element of the intensity and loudness of sound waves calculation. You can then email or print this intensity and loudness of sound waves calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Intensity And Loudness Of Sound Waves. This image shows the properties and intensity and loudness of sound waves formula for the Intensity And Loudness Of Sound Waves. This excellent physics calculator will calculate the intensity of sound waves when energy of sound and distance from the source are known and the loudness of sound waves when their intensity is known

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Intensity of sound wave Formula and Calculation

I = E × v/4π × r3

The Intensity of sound wave formula is obtained by the combination of three other formulae

Formula 1

I = P/4π × r2

Formula 2

P = E/t

Formula 3

t = r/v

Loudness of sound wave Formula and Calculation

L(dB) = 10 × logE × v/4π × r3 × I0

The Loudness of sound wave formula is obtained by the combination of two other formulae

Formula 1

L(dB) = 10 × logI/I0

Formula 2

I = E × v/4π × r3

Waves Physics Tutorials associated with the Intensity And Loudness Of Sound Waves Calculator

The following Physics tutorials are provided within the Waves section of our Free Physics Tutorials. Each Waves tutorial includes detailed Waves formula and example of how to calculate and resolve specific Waves questions and problems. At the end of each Waves tutorial you will find Waves revision questions with a hidden answer that reveals when clicked. This allows you to learn about Waves and test your knowledge of Physics by answering the test questions on Waves.

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