Velocity of Sound Wave given Sound Intensity Calculator

✖Pressure RMS is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.ⓘ Pressure RMS [P_rms]			+10% -10%
✖Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.ⓘ Sound Intensity [l]			+10% -10%
✖Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.ⓘ Density of Air [ρ]			+10% -10%

✖The Velocity of sound wave is the speed of sound with the distance traveled per unit of time by a sound wave.ⓘ Velocity of Sound Wave given Sound Intensity [C]

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Formula

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Velocity of Sound Wave given Sound Intensity

Formula

`"C" = "P"_{"rms"}^2/("l"*"ρ")`

Example

`"0.002417m/s"=("0.002Pa")^2/("0.00128W/m²"*"1.293kg/m³")`

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Velocity of Sound Wave given Sound Intensity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air)
C = P_rms^2/(l*ρ)
This formula uses 4 Variables

Variables Used

Velocity of sound wave - (Measured in Meter per Second) - The Velocity of sound wave is the speed of sound with the distance traveled per unit of time by a sound wave.
Pressure RMS - (Measured in Pascal) - Pressure RMS is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.
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.
Density of Air - (Measured in Kilogram per Cubic Meter) - Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

STEP 1: Convert Input(s) to Base Unit

Pressure RMS: 0.002 Pascal --> 0.002 Pascal No Conversion Required
Sound Intensity: 0.00128 Watt per Square Meter --> 0.00128 Watt per Square Meter No Conversion Required
Density of Air: 1.293 Kilogram per Cubic Meter --> 1.293 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = P_rms^2/(l*ρ) --> 0.002^2/(0.00128*1.293)

Evaluating ... ...

C = 0.0024168600154679

STEP 3: Convert Result to Output's Unit

0.0024168600154679 Meter per Second --> No Conversion Required

FINAL ANSWER

0.0024168600154679 ≈ 0.002417 Meter per Second <-- Velocity of sound wave

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 3 Velocity of Sound Calculators

Velocity of Sound Wave given Sound Intensity

Go Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air)

Velocity for Wavelength of Wave

Go Velocity of sound wave = (Wavelength of a Wave*Frequency)

Speed of Sound Wave

Go Velocity of sound wave = 20.05*sqrt(Temperature)

Velocity of Sound Wave given Sound Intensity Formula

Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air)
C = P_rms^2/(l*ρ)

What is sound intensity?

Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

How to Calculate Velocity of Sound Wave given Sound Intensity?

Velocity of Sound Wave given Sound Intensity calculator uses Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air) to calculate the Velocity of sound wave, The Velocity of Sound Wave given Sound Intensity refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity. Velocity of sound wave is denoted by C symbol.

How to calculate Velocity of Sound Wave given Sound Intensity using this online calculator? To use this online calculator for Velocity of Sound Wave given Sound Intensity, enter Pressure RMS (P_rms), Sound Intensity (l) & Density of Air (ρ) and hit the calculate button. Here is how the Velocity of Sound Wave given Sound Intensity calculation can be explained with given input values -> 0.002417 = 0.002^2/(0.00128*1.293).

FAQ

What is Velocity of Sound Wave given Sound Intensity?

The Velocity of Sound Wave given Sound Intensity refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity and is represented as C = P_rms^2/(l*ρ) or Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air). Pressure RMS is the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave, Sound Intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area & Density of Air is the mass of air per unit volume; it decreases with altitude due to lower pressure.

How to calculate Velocity of Sound Wave given Sound Intensity?

The Velocity of Sound Wave given Sound Intensity refers to speed, although, properly, velocity implies both speed and direction. The velocity of a wave is equal to the product of its wavelength and frequency (number of vibrations per second) and is independent of its intensity is calculated using Velocity of sound wave = Pressure RMS^2/(Sound Intensity*Density of Air). To calculate Velocity of Sound Wave given Sound Intensity, you need Pressure RMS (P_rms), Sound Intensity (l) & Density of Air (ρ). With our tool, you need to enter the respective value for Pressure RMS, Sound Intensity & Density of Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Velocity of sound wave?

In this formula, Velocity of sound wave uses Pressure RMS, Sound Intensity & Density of Air. We can use 2 other way(s) to calculate the same, which is/are as follows -

Velocity of sound wave = (Wavelength of a Wave*Frequency)
Velocity of sound wave = 20.05*sqrt(Temperature)

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