Speed of Sound Calculator

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Physics	Gas Dynamics ↺
Gas Dynamics	Basics ↺

✖The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volumeⓘ Specific Heat Ratio [γ]			+10% -10%
✖The temperature of Gas is the measure of hotness or coldness of a gas.ⓘ Temperature of Gas [T]			+10% -10%

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

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Credits

Vinay Mishra

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

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

Rushi Shah

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

Rushi Shah has verified this Calculator and 100+ more calculators!

Speed of Sound Solution

STEP 0: Pre-Calculation Summary

Formula Used

speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas)
𝒶 = sqrt(γ*[R-Dry-Air]*T)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[R-Dry-Air] - Specific Gas Constant for Dry Air Value Taken As 287.058 Joule per kilogram * kelvin

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Specific Heat Ratio- The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume
Temperature of Gas - The temperature of Gas is the measure of hotness or coldness of a gas. (Measured in Kelvin)

STEP 1: Convert Input(s) to Base Unit

Specific Heat Ratio: 1.6 --> No Conversion Required
Temperature of Gas: 30 Kelvin --> 30 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝒶 = sqrt(γ*[R-Dry-Air]*T) --> sqrt(1.6*[R-Dry-Air]*30)

Evaluating ... ...

𝒶 = 117.383065218114

STEP 3: Convert Result to Output's Unit

117.383065218114 Meter per Second --> No Conversion Required

FINAL ANSWER

117.383065218114 Meter per Second <-- Speed of Sound

(Calculation completed in 00.005 seconds)

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Thermal resistance for conduction through 2 resistances in parallel

thermal_resistance = (Length)/((Thermal conductivity 1*Cross Sectional area 1)+(Thermal conductivity 2*Cross-Sectional area at a point 2)) Go

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stagnation_temp = Static Temperature+((Fluid Velocity^2)/(2*Specific Heat Capacity at Constant Pressure)) Go

Speed of Sound

speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) Go

Mayer's formula

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

Isentropic compressibility for given density and speed of sound

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

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mach_no = Speed of a body/Speed of Sound Go

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Stagnation Velocity of Sound given specific heat at constant pressure

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

Shaft work in compressible flow machines

shaft_work = (Enthalpy at inlet+((1/2)*(Inlet velocity^2)))-(Enthalpy at exit+((1/2)*(Exit velocity^2))) Go

Stagnation Velocity of Sound

stagnation_velocity_of_sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature) Go

Stagnation Temperature

stagnation_temp = Static Temperature+((Fluid Velocity^2)/(2*Specific Heat Capacity at Constant Pressure)) Go

Stagnation Velocity of Sound given stagnation enthalpy

stagnation_velocity_of_sound = sqrt((Heat Capacity Ratio-1)*Stagnation enthalpy) Go

Heat capacity ratio

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

Internal Energy of a perfect gas at given temperature

internal_energy = Specific Heat Capacity at Constant Volume*Temperature Go

Pressure ratio

pressure_ratio = Final Pressure of System/Initial Pressure of System Go

Enthalpy of ideal gas at given temperature

enthalpy = Specific Heat Capacity at Constant Pressure*Temperature Go

Shaft work in compressible flow machines neglecting inlet and exit velocities

shaft_work = Enthalpy at inlet-Enthalpy at exit Go

Speed of Sound Formula

speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas)
𝒶 = sqrt(γ*[R-Dry-Air]*T)

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_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas) to calculate the Speed of Sound, The speed of sound is defined as the dynamic propagation of sound waves and depends on the characteristics of the medium through which the propagation takes place. Speed of Sound and 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) and Temperature of Gas (T) and hit the calculate button. Here is how the Speed of Sound calculation can be explained with given input values -> 117.3831 = sqrt(1.6*[R-Dry-Air]*30).

FAQ

What is Speed of Sound?

The speed of sound is defined as the dynamic propagation of sound waves and depends on the characteristics of the medium through which the propagation takes place and is represented as 𝒶 = sqrt(γ*[R-Dry-Air]*T) or speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas). The Specific heat ratio of a gas is the ratio of the specific heat of the gas at a constant pressure to its specific heat at a constant volume and The temperature of Gas is the measure of hotness or coldness of a gas.

How to calculate Speed of Sound?

The speed of sound is defined as the dynamic propagation of sound waves and depends on the characteristics of the medium through which the propagation takes place is calculated using speed_sound = sqrt(Specific Heat Ratio*[R-Dry-Air]*Temperature of Gas). To calculate Speed of Sound, you need Specific Heat Ratio (γ) and Temperature of Gas (T). With our tool, you need to enter the respective value for Specific Heat Ratio and Temperature of Gas 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 and Temperature of Gas. We can use 10 other way(s) to calculate the same, which is/are as follows -

adiabatic_index = Specific Heat Capacity at Constant Pressure/Specific Heat Capacity at Constant Volume
internal_energy = Specific Heat Capacity at Constant Volume*Temperature
enthalpy = Specific Heat Capacity at Constant Pressure*Temperature
shaft_work = (Enthalpy at inlet+((1/2)*(Inlet velocity^2)))-(Enthalpy at exit+((1/2)*(Exit velocity^2)))
shaft_work = Enthalpy at inlet-Enthalpy at exit
stagnation_velocity_of_sound = sqrt(Heat Capacity Ratio*[R]*Stagnation Temperature)
stagnation_velocity_of_sound = sqrt((Heat Capacity Ratio-1)*Specific Heat Capacity at Constant Pressure*Stagnation Temperature)
stagnation_velocity_of_sound = sqrt((Heat Capacity Ratio-1)*Stagnation enthalpy)
pressure_ratio = Final Pressure of System/Initial Pressure of System
stagnation_temp = Static Temperature+((Fluid Velocity^2)/(2*Specific Heat Capacity at Constant Pressure))

Where is the Speed of Sound calculator used?

Among many, Speed of Sound calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}

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