Isentropic Compressibility for given Density and Speed of Sound Calculator

✖The Density of a material is defined as mass per unit volume of a given object.ⓘ Density [ρ]			+10% -10%
✖The Speed of Sound is defined as speed of the dynamic propagation of sound waves.ⓘ Speed of Sound [a]			+10% -10%

✖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.ⓘ Isentropic Compressibility for given Density and Speed of Sound [𝜏_s]

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Isentropic Compressibility for given Density and Speed of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Isentropic Compressibility = 1/(Density*Speed of Sound^2)
𝜏_s = 1/(ρ*a^2)
This formula uses 3 Variables

Variables Used

Isentropic Compressibility - (Measured in Square Meter per Newton) - 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.
Density - (Measured in Kilogram per Cubic Meter) - The Density of a material is defined as mass per unit volume of a given object.
Speed of Sound - (Measured in Meter per Second) - The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

STEP 1: Convert Input(s) to Base Unit

Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Speed of Sound: 343 Meter per Second --> 343 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_s = 1/(ρ*a^2) --> 1/(1.225*343^2)

Evaluating ... ...

𝜏_s = 6.93866102229721E-06

STEP 3: Convert Result to Output's Unit

6.93866102229721E-06 Square Meter per Newton -->0.0693866102229721 Square Centimeter per Newton (Check conversion here)

FINAL ANSWER

0.0693866102229721 ≈ 0.069387 Square Centimeter per Newton <-- Isentropic Compressibility

(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Bombay

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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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< Governing Equations and Sound Wave Calculators

Speed of Sound

LaTeX Go Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)

Mayer's Formula

LaTeX Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume

Mach Number

LaTeX Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

LaTeX Go Mach Angle = asin(1/Mach Number)

Isentropic Compressibility for given Density and Speed of Sound Formula

LaTeX Go

Isentropic Compressibility = 1/(Density*Speed of Sound^2)
𝜏_s = 1/(ρ*a^2)

What is Isentropic Compressibility?

Compressibility is the fractional change in volume of the fluid element per unit change in pressure. If no heat is added to or taken away from the fluid element, and if friction is ignored, the compression of the fluid element takes place isentropically, defined as the isentropic compressibility.

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

Isentropic Compressibility for given Density and Speed of Sound calculator uses Isentropic Compressibility = 1/(Density*Speed of Sound^2) to calculate 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 calculate Isentropic Compressibility for given Density and Speed of Sound using this online calculator? To use this online calculator for Isentropic Compressibility for given Density and Speed of Sound, enter Density (ρ) & Speed of Sound (a) and hit the calculate button. Here is how the Isentropic Compressibility for given Density and Speed of Sound calculation can be explained with given input values -> 740.6069 = 1/(1.225*343^2).

FAQ

What is Isentropic Compressibility for given Density and Speed of Sound?

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 and is represented as 𝜏_s = 1/(ρ*a^2) or Isentropic Compressibility = 1/(Density*Speed of Sound^2). The Density of a material is defined as mass per unit volume of a given object & The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

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

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 is calculated using Isentropic Compressibility = 1/(Density*Speed of Sound^2). To calculate Isentropic Compressibility for given Density and Speed of Sound, you need Density (ρ) & Speed of Sound (a). With our tool, you need to enter the respective value for Density & Speed of Sound and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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