Mach Number Calculator

Category	Physics ↺
Physics	Gas Dynamics ↺
Gas-Dynamics	Basics ↺

✖The speed of a body is equal to the distance traveled by the body in one secondⓘ Speed of a body [V]			+10% -10%
✖The speed of sound is defined as the dynamic propagation of sound waves.ⓘ Speed of Sound [𝒶]			+10% -10%

✖Mach number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of soundⓘ Mach Number [M]

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Vinay Mishra

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

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

Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Calculator and 200+ more calculators!

< 8 Other formulas that you can solve using the same Inputs

Pressure ratio for unsteady waves with subtracted induced mass motion for expansion waves

pressure ratio=(1-((Specific Heat Ratio-1)/2)*(Induced mass motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1)) GO

Pressure ratio for unsteady waves

pressure ratio=(1+((Specific Heat Ratio-1)/2)*(Induced mass motion/Speed of Sound))^(2*Specific Heat Ratio/(Specific Heat Ratio-1)) GO

Temperature ratio for unsteady compression waves

Temperature Ratio=(1+((Specific Heat Ratio-1)/2)*(Induced mass motion/Speed of Sound))^2 GO

Temperature ratio for unsteady expansion wave

Temperature Ratio=(1-((Specific Heat Ratio-1)/2)*(Induced mass motion/Speed of Sound))^2 GO

Mach wave behind the shock

Mach Number behind shock=(Freestream Velocity-local shock velocity)/Speed of Sound GO

Mach wave behind the shock with mach infinity

Mach Number ahead of shock=Mach Number-(local shock velocity/Speed of Sound) GO

Local shock velocity equation

local shock velocity=Speed of Sound*(Mach Number-Mach Number ahead of shock) GO

Isentropic compressibility for given density and speed of sound

Isentropic compressibility=1/(Density*(Speed of Sound^2)) GO

< 4 Other formulas that calculate the same Output

Mach number at reference temperature

Mach Number=sqrt(((Reference temperature/Static Temperature)-(1+0.58*((Wall temperature/Static Temperature)-1)))/0.032) GO

Mach number over a flat plate using static temperature and wall temperature

Mach Number=sqrt(((Temperature of wall in Kelvin/Static Temperature)-1)/((Specific Heat Ratio-1)/2)) GO

Mach number

Mach Number=Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*final temp.)) GO

Large Mach number over a flat plate using static temperature and wall temperature

Mach Number=sqrt((Wall temperature/Static Temperature)/((Specific Heat Ratio-1)/2)) GO

Mach Number Formula

Mach Number=Speed of a body/Speed of Sound
M=V/𝒶

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Thermal resistance for conduction through 2 resistances in parallel GO

Isentropic compressibility for given density and speed of sound GO

Where do we have the value of Mach number as 1?

If the Mach number is ~ 1, the flow speed is approximately like the speed of sound - and the speed is transonic. If the Mach number is > 1, the flow speed is higher than the speed of sound - and the speed is supersonic.

What is Mach number in aircraft?

The ratio between the true airspeed (TAS) and the local speed of sound (LSS). This ratio, which equals one when the TAS is equal to the LSS, is known as the Mach Number (M) and is very important in aircraft operating at high speed.

How to Calculate Mach Number?

Mach Number calculator uses Mach Number=Speed of a body/Speed of Sound to calculate the Mach Number, The Mach Number is defined as the ratio of the speed of a body to the speed of sound in the surrounding medium. Mach Number and is denoted by M symbol.

How to calculate Mach Number using this online calculator? To use this online calculator for Mach Number, enter Speed of a body (V) and Speed of Sound (𝒶) and hit the calculate button. Here is how the Mach Number calculation can be explained with given input values -> 0.1 = 10/100.

FAQ

What is Mach Number?

The Mach Number is defined as the ratio of the speed of a body to the speed of sound in the surrounding medium and is represented as M=V/𝒶 or Mach Number=Speed of a body/Speed of Sound. The speed of a body is equal to the distance traveled by the body in one second and The speed of sound is defined as the dynamic propagation of sound waves.

How to calculate Mach Number?

The Mach Number is defined as the ratio of the speed of a body to the speed of sound in the surrounding medium is calculated using Mach Number=Speed of a body/Speed of Sound. To calculate Mach Number, you need Speed of a body (V) and Speed of Sound (𝒶). With our tool, you need to enter the respective value for Speed of a body and Speed of Sound 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 Mach Number?

In this formula, Mach Number uses Speed of a body and Speed of Sound. We can use 4 other way(s) to calculate the same, which is/are as follows -

Mach Number=Fluid Velocity/(sqrt(Specific Heat Ratio*Universal Gas Constant*final temp.))
Mach Number=sqrt(((Reference temperature/Static Temperature)-(1+0.58*((Wall temperature/Static Temperature)-1)))/0.032)
Mach Number=sqrt(((Temperature of wall in Kelvin/Static Temperature)-1)/((Specific Heat Ratio-1)/2))
Mach Number=sqrt((Wall temperature/Static Temperature)/((Specific Heat Ratio-1)/2))

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