Speed of Sound given Isentropic Change Calculator

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Compressible Flow

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✖Isentropic Change is defined as the rate of change of pressure with respect to density.ⓘ Isentropic Change [dpdρ]

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✖The Speed of Sound is defined as speed of the dynamic propagation of sound waves.ⓘ Speed of Sound given Isentropic Change [a]

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Formula

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Speed of Sound given Isentropic Change

Formula

`"a" = sqrt("dpdρ")`

Example

`"343m/s"=sqrt("117649m²/s²")`

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Speed of Sound given Isentropic Change Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Sound = sqrt(Isentropic Change)
a = sqrt(dpdρ)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Speed of Sound - (Measured in Meter per Second) - The Speed of Sound is defined as speed of the dynamic propagation of sound waves.
Isentropic Change - (Measured in Joule per Kilogram) - Isentropic Change is defined as the rate of change of pressure with respect to density.

STEP 1: Convert Input(s) to Base Unit

Isentropic Change: 117649 Square Meter per Square Second --> 117649 Joule per Kilogram (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = sqrt(dpdρ) --> sqrt(117649)

Evaluating ... ...

a = 343

STEP 3: Convert Result to Output's Unit

343 Meter per Second --> No Conversion Required

FINAL ANSWER

343 Meter per Second <-- Speed of Sound

(Calculation completed in 00.004 seconds)

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore

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< 18 Governing Equations and Sound Wave Calculators

Speed of Sound Downstream of Sound Wave

Go Sound Speed Downstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Upstream of Sound^2-Flow Velocity Downstream of Sound^2)/2+Sound Speed Upstream^2/(Specific Heat Ratio-1)))

Speed of Sound Upstream of Sound Wave

Go Sound Speed Upstream = sqrt((Specific Heat Ratio-1)*((Flow Velocity Downstream of Sound^2-Flow Velocity Upstream of Sound^2)/2+Sound Speed Downstream^2/(Specific Heat Ratio-1)))

Flow Velocity Downstream of Sound Wave

Go Flow Velocity Downstream of Sound = sqrt(2*((Sound Speed Upstream^2-Sound Speed Downstream^2)/(Specific Heat Ratio-1)+Flow Velocity Upstream of Sound^2/2))

Flow Velocity Upstream of Sound Wave

Go Flow Velocity Upstream of Sound = sqrt(2*((Sound Speed Downstream^2-Sound Speed Upstream^2)/(Specific Heat Ratio-1)+Flow Velocity Downstream of Sound^2/2))

Ratio of Stagnation and Static Pressure

Go Stagnation to Static Pressure = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(Specific Heat Ratio/(Specific Heat Ratio-1))

Critical Pressure

Go Critical Pressure = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))*Stagnation Pressure

Stagnation Temperature

Go Stagnation Temperature = Static Temperature+(Flow Velocity Downstream of Sound^2)/(2*Specific Heat Capacity at Constant Pressure)

Speed of Sound

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

Ratio of Stagnation and Static Density

Go Stagnation to Static Density = (1+((Specific Heat Ratio-1)/2)*Mach Number^2)^(1/(Specific Heat Ratio-1))

Critical Density

Go Critical Density = Stagnation Density*(2/(Specific Heat Ratio+1))^(1/(Specific Heat Ratio-1))

Mayer's Formula

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

Ratio of Stagnation and Static Temperature

Go Stagnation to Static Temperature = 1+((Specific Heat Ratio-1)/2)*Mach Number^2

Critical Temperature

Go Critical Temperature = (2*Stagnation Temperature)/(Specific Heat Ratio+1)

Isentropic Compressibility for given Density and Speed of Sound

Go Isentropic Compressibility = 1/(Density*Speed of Sound^2)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Speed of Sound given Isentropic Change

Go Speed of Sound = sqrt(Isentropic Change)

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Isentropic Change across Sound Wave

Go Isentropic Change = Speed of Sound^2

Speed of Sound given Isentropic Change Formula

Speed of Sound = sqrt(Isentropic Change)
a = sqrt(dpdρ)

Why is speed of sound isentropic?

The transmission of a small disturbance through a gas is an isentropic process. The conditions in the gas are the same before and after the disturbance passes through. Because the speed of transmission depends on molecular collisions, the speed of sound depends on the state of the gas.

How to Calculate Speed of Sound given Isentropic Change?

Speed of Sound given Isentropic Change calculator uses Speed of Sound = sqrt(Isentropic Change) to calculate the Speed of Sound, The Speed of Sound given Isentropic Change formula calculates the speed of the sound wave when the rate of change of pressure with respect to the density i.e. isentropic change is given. Speed of Sound is denoted by a symbol.

How to calculate Speed of Sound given Isentropic Change using this online calculator? To use this online calculator for Speed of Sound given Isentropic Change, enter Isentropic Change (dpdρ) and hit the calculate button. Here is how the Speed of Sound given Isentropic Change calculation can be explained with given input values -> 5 = sqrt(117649).

FAQ

What is Speed of Sound given Isentropic Change?

The Speed of Sound given Isentropic Change formula calculates the speed of the sound wave when the rate of change of pressure with respect to the density i.e. isentropic change is given and is represented as a = sqrt(dpdρ) or Speed of Sound = sqrt(Isentropic Change). Isentropic Change is defined as the rate of change of pressure with respect to density.

How to calculate Speed of Sound given Isentropic Change?

The Speed of Sound given Isentropic Change formula calculates the speed of the sound wave when the rate of change of pressure with respect to the density i.e. isentropic change is given is calculated using Speed of Sound = sqrt(Isentropic Change). To calculate Speed of Sound given Isentropic Change, you need Isentropic Change (dpdρ). With our tool, you need to enter the respective value for Isentropic Change and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Speed of Sound?

In this formula, Speed of Sound uses Isentropic Change. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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