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Isentropic Compressibility for given Density and Speed of Sound Formula

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Isentropic Compressibility is the fractional change in volume of the fluid element per unit change in pressure when no heat is added or taken away and frictional and dissipative effects are ignored. Check FAQs

𝜏 s = \frac{1}{ρ \cdot a^{2}}

𝜏_s - Isentropic Compressibility?ρ - Density?a - Speed of Sound?

Isentropic Compressibility for given Density and Speed of Sound Example

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Here is how the Isentropic Compressibility for given Density and Speed of Sound equation looks like with Values.

Here is how the Isentropic Compressibility for given Density and Speed of Sound equation looks like with Units.

Here is how the Isentropic Compressibility for given Density and Speed of Sound equation looks like.

0.0694 = \frac{1}{1.225 \cdot 343^{2}}

0.0694cm²/N = \frac{1}{1.225kg/m³ \cdot {343m/s}^{2}}

0.0694 = \frac{1}{1.225 \cdot 343^{2}}

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Isentropic Compressibility for given Density and Speed of Sound Solution

Follow our step by step solution on how to calculate Isentropic Compressibility for given Density and Speed of Sound?

FIRST Step Consider the formula

𝜏 s = \frac{1}{ρ \cdot a^{2}}

Next Step Substitute values of Variables

∴

𝜏 s = \frac{1}{1.225kg/m³ \cdot {343m/s}^{2}}

Next Step Prepare to Evaluate

∴

𝜏 s = \frac{1}{1.225 \cdot 343^{2}}

Next Step Evaluate

∴

𝜏 s = 6.93866102229721E-06m²/N

Next Step Convert to Output's Unit

∴

𝜏 s = 0.0693866102229721cm²/N

LAST Step Rounding Answer

∴

𝜏 s = 0.0694cm²/N

Isentropic Compressibility for given Density and Speed of Sound Formula Elements

Variables

Isentropic Compressibility

Isentropic Compressibility is the fractional change in volume of the fluid element per unit change in pressure when no heat is added or taken away and frictional and dissipative effects are ignored.

Symbol: 𝜏_s

Measurement: CompressibilityUnit: cm²/N

Note: Value should be greater than 0.

Formulas to find Isentropic Compressibility

Density

The Density of a material is defined as mass per unit volume of a given object.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Density

Speed of Sound

The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

Symbol: a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Sound

Other formulas in Governing Equations and Sound Wave category

Go Speed of Sound

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Go Mach Number

M = \frac{V b}{a}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

How to Evaluate Isentropic Compressibility for given Density and Speed of Sound?

Isentropic Compressibility for given Density and Speed of Sound evaluator uses Isentropic Compressibility = 1/(Density*Speed of Sound^2) to evaluate the Isentropic Compressibility, The Isentropic Compressibility for given Density and Speed of Sound formula is a measure of how the density of a fluid changes with pressure under adiabatic conditions. Isentropic Compressibility is denoted by 𝜏_s symbol.

How to evaluate Isentropic Compressibility for given Density and Speed of Sound using this online evaluator? To use this online evaluator for Isentropic Compressibility for given Density and Speed of Sound, enter Density (ρ) & Speed of Sound (a) and hit the calculate button.

FAQs on Isentropic Compressibility for given Density and Speed of Sound

What is the formula to find Isentropic Compressibility for given Density and Speed of Sound?

The formula of Isentropic Compressibility for given Density and Speed of Sound is expressed as Isentropic Compressibility = 1/(Density*Speed of Sound^2). Here is an example- 740.6069 = 1/(1.225*343^2).

How to calculate Isentropic Compressibility for given Density and Speed of Sound?

With Density (ρ) & Speed of Sound (a) we can find Isentropic Compressibility for given Density and Speed of Sound using the formula - Isentropic Compressibility = 1/(Density*Speed of Sound^2).

Can the Isentropic Compressibility for given Density and Speed of Sound be negative?

No, the Isentropic Compressibility for given Density and Speed of Sound, measured in Compressibility cannot be negative.

Which unit is used to measure Isentropic Compressibility for given Density and Speed of Sound?

Isentropic Compressibility for given Density and Speed of Sound is usually measured using the Square Centimeter per Newton[cm²/N] for Compressibility. Square Meter per Newton[cm²/N] are the few other units in which Isentropic Compressibility for given Density and Speed of Sound can be measured.

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Isentropic Compressibility for given Density and Speed of Sound Formula

Isentropic Compressibility for given Density and Speed of Sound Example

Isentropic Compressibility for given Density and Speed of Sound Solution

Isentropic Compressibility for given Density and Speed of Sound Formula Elements

Other formulas in Governing Equations and Sound Wave category

How to Evaluate Isentropic Compressibility for given Density and Speed of Sound?

FAQs on Isentropic Compressibility for given Density and Speed of Sound

Variable Name