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Density of Air given Sound Intensity Formula

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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. Check FAQs

ρ = \frac{{P rms}^{2}}{I \cdot C}

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

Density of Air given Sound Intensity Example

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Here is how the Density of Air given Sound Intensity equation looks like with Values.

Here is how the Density of Air given Sound Intensity equation looks like with Units.

Here is how the Density of Air given Sound Intensity equation looks like.

1.2857 = \frac{{0.0002}^{2}}{1E-10 \cdot 343}

1.2857kg/m³ = \frac{{0.0002Pa}^{2}}{1E-10W/m² \cdot 343m/s}

1.2857 = \frac{{0.0002}^{2}}{1E-10 \cdot 343}

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Density of Air given Sound Intensity Solution

Follow our step by step solution on how to calculate Density of Air given Sound Intensity?

FIRST Step Consider the formula

ρ = \frac{{P rms}^{2}}{I \cdot C}

Next Step Substitute values of Variables

∴

ρ = \frac{{0.0002Pa}^{2}}{1E-10W/m² \cdot 343m/s}

Next Step Prepare to Evaluate

∴

ρ = \frac{{0.0002}^{2}}{1E-10 \cdot 343}

Next Step Evaluate

∴

ρ = 1.28571428571429kg/m³

LAST Step Rounding Answer

∴

ρ = 1.2857kg/m³

Density of Air given Sound Intensity Formula Elements

Variables

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

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

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 in Sound Intensity category

Go Sound Intensity with respect to Sound Pressure

I = (\frac{{P rms}^{2}}{ρ \cdot C})

Go Sound Intensity

I = \frac{W}{A}

Go Sound Intensity Level

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

Go Sound Intensity using Sound Intensity Level

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

How to Evaluate Density of Air given Sound Intensity?

Density of Air given Sound Intensity evaluator uses Density of Air = Pressure RMS^2/(Sound Intensity Level*Velocity of Sound Wave) to evaluate the Density of Air, The Density of Air given Sound Intensity formula is defined as the mass per unit volume of Earth's atmosphere. Density of Air is denoted by ρ symbol.

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

FAQs on Density of Air given Sound Intensity

What is the formula to find Density of Air given Sound Intensity?

The formula of Density of Air given Sound Intensity is expressed as Density of Air = Pressure RMS^2/(Sound Intensity Level*Velocity of Sound Wave). Here is an example- 116.6181 = 0.00021^2/(1E-10*343).

How to calculate Density of Air given Sound Intensity?

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

Can the Density of Air given Sound Intensity be negative?

No, the Density of Air given Sound Intensity, measured in Density cannot be negative.

Which unit is used to measure Density of Air given Sound Intensity?

Density of Air given Sound Intensity is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Density of Air given Sound Intensity can be measured.

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Density of Air given Sound Intensity Formula

Density of Air given Sound Intensity Example

Density of Air given Sound Intensity Solution

Density of Air given Sound Intensity Formula Elements

Other formulas in Sound Intensity category

How to Evaluate Density of Air given Sound Intensity?

FAQs on Density of Air given Sound Intensity

Variable Name