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Root Mean Square Pressure when Sound Pressure Level Formula

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

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

P_m - Pressure RMS in Micropascal?L - Sound Level in Decibels?

Root Mean Square Pressure when Sound Pressure Level Example

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Here is how the Root Mean Square Pressure when Sound Pressure Level equation looks like with Values.

Here is how the Root Mean Square Pressure when Sound Pressure Level equation looks like with Units.

Here is how the Root Mean Square Pressure when Sound Pressure Level equation looks like.

200 = (20 \cdot 10^{- 6}) \cdot 10^{\frac{20}{20}}

200μPa = (20 \cdot 10^{- 6}) \cdot 10^{\frac{20dB}{20}}

200 = (20 \cdot 10^{- 6}) \cdot 10^{\frac{20}{20}}

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Root Mean Square Pressure when Sound Pressure Level Solution

Follow our step by step solution on how to calculate Root Mean Square Pressure when Sound Pressure Level?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P m = 0.0002Pa

LAST Step Convert to Output's Unit

∴

P m = 200μPa

Root Mean Square Pressure when Sound Pressure Level Formula Elements

Variables

Pressure RMS in Micropascal

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

Symbol: P_m

Measurement: PressureUnit: μPa

Note: Value should be greater than 0.

Formulas to find Pressure RMS in Micropascal

Sound Level in Decibels

Sound Level in Decibels (dB) is the logarithmic measure of the ratio of a particular sound pressure to a reference sound pressure.

Symbol: L

Measurement: SoundUnit: dB

Note: Value should be greater than 0.

Formulas to find Sound Level in Decibels

Other formulas in Root Mean Square Pressure category

Go Root Mean Square Pressure given Sound Intensity

P rms = \sqrt{I \cdot ρ \cdot C}

How to Evaluate Root Mean Square Pressure when Sound Pressure Level?

Root Mean Square Pressure when Sound Pressure Level evaluator uses Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20) to evaluate the Pressure RMS in Micropascal, The Root Mean Square Pressure when Sound Pressure Level formula is defined as the root mean square value, it is the local pressure deviation from the ambient atmospheric pressure, caused by a sound wave. Pressure RMS in Micropascal is denoted by P_m symbol.

How to evaluate Root Mean Square Pressure when Sound Pressure Level using this online evaluator? To use this online evaluator for Root Mean Square Pressure when Sound Pressure Level, enter Sound Level in Decibels (L) and hit the calculate button.

FAQs on Root Mean Square Pressure when Sound Pressure Level

What is the formula to find Root Mean Square Pressure when Sound Pressure Level?

The formula of Root Mean Square Pressure when Sound Pressure Level is expressed as Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20). Here is an example- 2E+8 = (20*10^(-6))*10^(20/20).

How to calculate Root Mean Square Pressure when Sound Pressure Level?

With Sound Level in Decibels (L) we can find Root Mean Square Pressure when Sound Pressure Level using the formula - Pressure RMS in Micropascal = (20*10^(-6))*10^(Sound Level in Decibels/20).

Can the Root Mean Square Pressure when Sound Pressure Level be negative?

No, the Root Mean Square Pressure when Sound Pressure Level, measured in Pressure cannot be negative.

Which unit is used to measure Root Mean Square Pressure when Sound Pressure Level?

Root Mean Square Pressure when Sound Pressure Level is usually measured using the Micropascal[μPa] for Pressure. Pascal[μPa], Kilopascal[μPa], Bar[μPa] are the few other units in which Root Mean Square Pressure when Sound Pressure Level can be measured.

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