# 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.

 🖹 Normal View🗖 Full Page View Calculator Precision (Decimal Places)0123456789101112131415 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 × 10 power of
 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 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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## Related Physics Sections with Tutorials

Section 3: Kinematics

Section 10: Oscilations

Section 11: Waves

Section 21: Cosmology

## 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

I = P/4π × r2

P = E/t

t = r/v

## Loudness of sound wave Formula and Calculation

L(dB) = 10 × logE × v × I0/4π × r3

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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