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Sound Intensity with respect to Sound Pressure Formula

GoSound Intensity Formula

GoSound Intensity using Sound Intensity Level Formula

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The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB). Check FAQs

I = (\frac{{P rms}^{2}}{ρ \cdot C})

I - Sound Intensity Level?P_rms - Pressure RMS?ρ - Density of Air?C - Velocity of Sound Wave?

Sound Intensity with respect to Sound Pressure Example

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Here is how the Sound Intensity with respect to Sound Pressure equation looks like with Values.

Here is how the Sound Intensity with respect to Sound Pressure equation looks like with Units.

Here is how the Sound Intensity with respect to Sound Pressure equation looks like.

9.9E-11 = (\frac{{0.0002}^{2}}{1.293 \cdot 343})

9.9E-11W/m² = (\frac{{0.0002Pa}^{2}}{1.293kg/m³ \cdot 343m/s})

9.9E-11 = (\frac{{0.0002}^{2}}{1.293 \cdot 343})

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Sound Intensity with respect to Sound Pressure Solution

Follow our step by step solution on how to calculate Sound Intensity with respect to Sound Pressure?

FIRST Step Consider the formula

I = (\frac{{P rms}^{2}}{ρ \cdot C})

Next Step Substitute values of Variables

∴

I = (\frac{{0.0002Pa}^{2}}{1.293kg/m³ \cdot 343m/s})

Next Step Prepare to Evaluate

∴

I = (\frac{{0.0002}^{2}}{1.293 \cdot 343})

Next Step Evaluate

∴

I = 9.94365263506795E-11W/m²

LAST Step Rounding Answer

∴

I = 9.9E-11W/m²

Sound Intensity with respect to Sound Pressure Formula Elements

Variables

Sound Intensity Level

The Sound Intensity Level refers to the logarithmic measure of the sound power per unit area, expressed in decibels (dB).

Symbol: I

Measurement: IntensityUnit: W/m²

Note: Value should be greater than 0.

Formulas to find Sound Intensity Level

Pressure RMS

The Pressure RMS refers to the root mean square value is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave.

Symbol: P_rms

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Pressure RMS

Density of Air

The Density of Air refers to the mass per unit volume of Earth's atmosphere, typically around 1.225 kg/m³ at sea level and 15°C, affecting sound propagation and weather.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density of Air

Velocity of Sound Wave

The Velocity of Sound Wave refers to the speed of sound with the distance traveled per unit of time by a sound wave.

Symbol: C

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Sound Wave

Other Formulas to find Sound Intensity Level

Go Sound Intensity

I = \frac{W}{A}

Go Sound Intensity using Sound Intensity Level

I = (10^{- 12}) \cdot 10^{\frac{L}{10}}

Other formulas in Sound Intensity category

Go Sound Intensity Level

L = 10 \cdot \log 10 (\frac{I}{10^{- 12}})

Go Density of Air given Sound Intensity

ρ = \frac{{P rms}^{2}}{I \cdot C}

Go Power of Sound Wave given Sound Intensity

W = I \cdot A

Go Unit Area given Sound Intensity

A = \frac{W}{I}

How to Evaluate Sound Intensity with respect to Sound Pressure?

Sound Intensity with respect to Sound Pressure evaluator uses Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)) to evaluate the Sound Intensity Level, The Sound Intensity with respect to Sound Pressure formula is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Sound Intensity Level is denoted by I symbol.

How to evaluate Sound Intensity with respect to Sound Pressure using this online evaluator? To use this online evaluator for Sound Intensity with respect to Sound Pressure, enter Pressure RMS (P_rms), Density of Air (ρ) & Velocity of Sound Wave (C) and hit the calculate button.

FAQs on Sound Intensity with respect to Sound Pressure

What is the formula to find Sound Intensity with respect to Sound Pressure?

The formula of Sound Intensity with respect to Sound Pressure is expressed as Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)). Here is an example- 9E-9 = ((0.00021^2)/(1.293*343)).

How to calculate Sound Intensity with respect to Sound Pressure?

With Pressure RMS (P_rms), Density of Air (ρ) & Velocity of Sound Wave (C) we can find Sound Intensity with respect to Sound Pressure using the formula - Sound Intensity Level = ((Pressure RMS^2)/(Density of Air*Velocity of Sound Wave)).

What are the other ways to Calculate Sound Intensity Level?

Here are the different ways to Calculate Sound Intensity Level-

Sound Intensity Level=Sound Power/Area for Sound Intensity
Sound Intensity Level=(10^-12)*10^(Sound Level in Decibels/10)

Can the Sound Intensity with respect to Sound Pressure be negative?

No, the Sound Intensity with respect to Sound Pressure, measured in Intensity cannot be negative.

Which unit is used to measure Sound Intensity with respect to Sound Pressure?

Sound Intensity with respect to Sound Pressure is usually measured using the Watt per Square Meter[W/m²] for Intensity. Watt per Square Centimeter[W/m²], Watt per Square Millimeter[W/m²], Kilowatt per Square Meter[W/m²] are the few other units in which Sound Intensity with respect to Sound Pressure can be measured.

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Sound Intensity with respect to Sound Pressure Formula

​GoSound Intensity Formula

​GoSound Intensity using Sound Intensity Level Formula

Sound Intensity with respect to Sound Pressure Example

Sound Intensity with respect to Sound Pressure Solution

Sound Intensity with respect to Sound Pressure Formula Elements

Other Formulas to find Sound Intensity Level

Other formulas in Sound Intensity category

How to Evaluate Sound Intensity with respect to Sound Pressure?

FAQs on Sound Intensity with respect to Sound Pressure

Variable Name

GoSound Intensity Formula

GoSound Intensity using Sound Intensity Level Formula