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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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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!

< Thermodynamics and Governing Equations Calculators

Stagnation Velocity of Sound

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

Heat Capacity Ratio

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

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

< Governing Equations and Sound Wave Calculators

Speed of Sound

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

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

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, Speed of Sound formula is defined as a representation of how quickly sound waves propagate through a medium, influenced by factors such as temperature and the specific properties of the gas, which are essential in various aerospace applications. 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?

Speed of Sound formula is defined as a representation of how quickly sound waves propagate through a medium, influenced by factors such as temperature and the specific properties of the gas, which are essential in various aerospace applications 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?

Speed of Sound formula is defined as a representation of how quickly sound waves propagate through a medium, influenced by factors such as temperature and the specific properties of the gas, which are essential in various aerospace applications 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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