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Credits

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
Vinay Mishra has created this Calculator and 300+ more calculators!
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
117.383065218114 Meter per Second <-- Speed of Sound
(Calculation completed in 00.005 seconds)
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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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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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