Speed of Sound Calculator

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✖The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.ⓘ Specific Heat Ratio [γ]			+10% -10%
✖The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.ⓘ Static Temperature [T_s]			+10% -10%

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

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Formula

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Speed of Sound

Formula

`"a" = sqrt("γ"*"[R-Dry-Air]"*"T"_{"s"})`

Example

`"344.9012m/s"=sqrt("1.4"*"[R-Dry-Air]"*"296K")`

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Speed of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature)
a = sqrt(γ*[R-Dry-Air]*T_s)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

[R-Dry-Air] - Specific Gas Constant for Dry Air Value Taken As 287.058

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.
Specific Heat Ratio - The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow.
Static Temperature - (Measured in Kelvin) - The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.4 --> No Conversion Required
Static Temperature: 296 Kelvin --> 296 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = sqrt(γ*[R-Dry-Air]*T_s) --> sqrt(1.4*[R-Dry-Air]*296)

Evaluating ... ...

a = 344.901196286705

STEP 3: Convert Result to Output's Unit

344.901196286705 Meter per Second --> No Conversion Required

FINAL ANSWER

344.901196286705 ≈ 344.9012 Meter per Second <-- Speed of Sound

(Calculation completed in 00.004 seconds)

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Credits

Created by Vinay Mishra

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

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Rushi Shah

K J Somaiya College of Engineering (K J Somaiya), Mumbai

Rushi Shah has verified this Calculator and 200+ more calculators!

< 19 Thermodynamics and Governing Equations Calculators

Max work output in Brayton cycle

Go Maximum Work done in Brayton Cycle = (1005*1/Compressor Efficiency)*Temperature at Inlet of Compressor in Brayton*(sqrt(Temperature at Inlet to Turbine in Brayton Cycle/Temperature at Inlet of Compressor in Brayton*Compressor Efficiency*Turbine Efficiency)-1)^2

Choked Mass Flow Rate given specific heat ratio

Go Choked Mass Flow Rate = (Heat Capacity Ratio/(sqrt(Heat Capacity Ratio-1)))*((Heat Capacity Ratio+1)/2)^(-((Heat Capacity Ratio+1)/(2*Heat Capacity Ratio-2)))

Choked Mass Flow Rate

Go Choked Mass Flow Rate = (Mass Flow Rate*sqrt(Specific Heat Capacity at Constant Pressure*Temperature))/(Nozzle Throat Area*Throat Pressure)

Stagnation Velocity of Sound given Specific Heat at Constant Pressure

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)

Specific Heat of mixed out gas

Go Specific Heat of Mixed Gas = (Specific Heat of Core Gas+Bypass Ratio*Specific Heat of Bypass Air)/(1+Bypass Ratio)

Stagnation Temperature

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

Stagnation Velocity of Sound

Go Stagnation Velocity of Sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)

Speed of Sound

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

Stagnation Velocity of Sound given Stagnation Enthalpy

Go Stagnation Velocity of Sound = sqrt((Heat Capacity Ratio-1)*Stagnation Enthalpy)

Heat Capacity Ratio

Go Heat Capacity Ratio = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume

Efficiency of cycle

Go Efficiency of Cycle = (Turbine Work-Compressor Work)/Heat

Internal Energy of Perfect Gas at given Temperature

Go Internal Energy = Specific Heat Capacity at Constant Volume*Temperature

Enthalpy of Ideal Gas at given Temperature

Go Enthalpy = Specific Heat Capacity at Constant Pressure*Temperature

Stagnation enthalpy

Go Stagnation Enthalpy = Enthalpy+(Velocity of Fluid Flow^2)/2

Efficiency of Joule cycle

Go Efficiency of Joule Cycle = Net Work Output/Heat

Pressure Ratio

Go Pressure Ratio = Final Pressure/Initial Pressure

Work ratio in practical cycle

Go Work Ratio = 1-(Compressor Work/Turbine Work)

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

< 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 Formula

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

Which factors affect the speed of sound?

There are two factors that affect the speed of sound: The density of the medium and the Temperature of the medium.

How to Calculate Speed of Sound?

Speed of Sound calculator uses Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature) to calculate the Speed of Sound, The Speed of Sound, is the velocity at which small pressure disturbances, or sound waves, propagate through a medium. It represents the rate at which these disturbances travel through the medium, transferring energy and information. Speed of Sound is denoted by a symbol.

How to calculate Speed of Sound using this online calculator? To use this online calculator for Speed of Sound, enter Specific Heat Ratio (γ) & Static Temperature (T_s) and hit the calculate button. Here is how the Speed of Sound calculation can be explained with given input values -> 344.9012 = sqrt(1.4*[R-Dry-Air]*296).

FAQ

What is Speed of Sound?

The Speed of Sound, is the velocity at which small pressure disturbances, or sound waves, propagate through a medium. It represents the rate at which these disturbances travel through the medium, transferring energy and information and is represented as a = sqrt(γ*[R-Dry-Air]*T_s) or Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature). The Specific Heat Ratio is the ratio of the heat capacity at constant pressure to heat capacity at constant volume of the flowing fluid for non-viscous and compressible flow & The Static Temperature is defined as the temperature measured by a thermometer placed within the fluid without affecting the fluid's velocity or pressure.

How to calculate Speed of Sound?

The Speed of Sound, is the velocity at which small pressure disturbances, or sound waves, propagate through a medium. It represents the rate at which these disturbances travel through the medium, transferring energy and information is calculated using Speed of Sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Static Temperature). To calculate Speed of Sound, you need Specific Heat Ratio (γ) & Static Temperature (T_s). With our tool, you need to enter the respective value for Specific Heat Ratio & Static Temperature 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 Specific Heat Ratio & Static Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Speed of Sound = sqrt(Isentropic Change)

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