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Root Mean Square Pressure given Sound Intensity Formula

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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. Check FAQs

P rms = \sqrt{I \cdot ρ \cdot C}

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

Root Mean Square Pressure given Sound Intensity Example

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Here is how the Root Mean Square Pressure given Sound Intensity equation looks like with Values.

Here is how the Root Mean Square Pressure given Sound Intensity equation looks like with Units.

Here is how the Root Mean Square Pressure given Sound Intensity equation looks like.

0.0002 = \sqrt{1E-10 \cdot 1.293 \cdot 343}

0.0002Pa = \sqrt{1E-10W/m² \cdot 1.293kg/m³ \cdot 343m/s}

0.0002 = \sqrt{1E-10 \cdot 1.293 \cdot 343}

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Root Mean Square Pressure given Sound Intensity Solution

Follow our step by step solution on how to calculate Root Mean Square Pressure given Sound Intensity?

FIRST Step Consider the formula

P rms = \sqrt{I \cdot ρ \cdot C}

Next Step Substitute values of Variables

∴

P rms = \sqrt{1E-10W/m² \cdot 1.293kg/m³ \cdot 343m/s}

Next Step Prepare to Evaluate

∴

P rms = \sqrt{1E-10 \cdot 1.293 \cdot 343}

Next Step Evaluate

∴

P rms = 0.000210594159463172Pa

LAST Step Rounding Answer

∴

P rms = 0.0002Pa

Root Mean Square Pressure given Sound Intensity Formula Elements

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Root Mean Square Pressure category

Go Root Mean Square Pressure when Sound Pressure Level

P m = (20 \cdot 10^{- 6}) \cdot 10^{\frac{L}{20}}

How to Evaluate Root Mean Square Pressure given Sound Intensity?

Root Mean Square Pressure given Sound Intensity evaluator uses Pressure RMS = sqrt(Sound Intensity Level*Density of Air*Velocity of Sound Wave) to evaluate the Pressure RMS, The Root Mean Square Pressure given Sound Intensity formula is defined as square root of average of square of pressure of sound signal over given duration. Pressure RMS is denoted by P_rms symbol.

How to evaluate Root Mean Square Pressure given Sound Intensity using this online evaluator? To use this online evaluator for Root Mean Square Pressure given Sound Intensity, enter Sound Intensity Level (I), Density of Air (ρ) & Velocity of Sound Wave (C) and hit the calculate button.

FAQs on Root Mean Square Pressure given Sound Intensity

What is the formula to find Root Mean Square Pressure given Sound Intensity?

The formula of Root Mean Square Pressure given Sound Intensity is expressed as Pressure RMS = sqrt(Sound Intensity Level*Density of Air*Velocity of Sound Wave). Here is an example- 0.000211 = sqrt(1E-10*1.293*343).

How to calculate Root Mean Square Pressure given Sound Intensity?

With Sound Intensity Level (I), Density of Air (ρ) & Velocity of Sound Wave (C) we can find Root Mean Square Pressure given Sound Intensity using the formula - Pressure RMS = sqrt(Sound Intensity Level*Density of Air*Velocity of Sound Wave). This formula also uses Square Root Function function(s).

Can the Root Mean Square Pressure given Sound Intensity be negative?

No, the Root Mean Square Pressure given Sound Intensity, measured in Pressure cannot be negative.

Which unit is used to measure Root Mean Square Pressure given Sound Intensity?

Root Mean Square Pressure given Sound Intensity is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Root Mean Square Pressure given Sound Intensity can be measured.

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Root Mean Square Pressure given Sound Intensity Formula

Root Mean Square Pressure given Sound Intensity Example

Root Mean Square Pressure given Sound Intensity Solution

Root Mean Square Pressure given Sound Intensity Formula Elements

Other formulas in Root Mean Square Pressure category

How to Evaluate Root Mean Square Pressure given Sound Intensity?

FAQs on Root Mean Square Pressure given Sound Intensity

Variable Name