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Mach Number Formula

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Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound. Check FAQs

M = \frac{V b}{a}

M - Mach Number?V_b - Speed of Object?a - Speed of Sound?

Mach Number Example

With values

With units

Only example

Here is how the Mach Number equation looks like with Values.

Here is how the Mach Number equation looks like with Units.

Here is how the Mach Number equation looks like.

2.0408 = \frac{700}{343}

2.0408 = \frac{700m/s}{343m/s}

2.0408 = \frac{700}{343}

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Mach Number Solution

Follow our step by step solution on how to calculate Mach Number?

FIRST Step Consider the formula

M = \frac{V b}{a}

Next Step Substitute values of Variables

∴

M = \frac{700m/s}{343m/s}

Next Step Prepare to Evaluate

∴

M = \frac{700}{343}

Next Step Evaluate

∴

M = 2.04081632653061

LAST Step Rounding Answer

∴

M = 2.0408

Mach Number Formula Elements

Variables

Mach Number

Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Speed of Object

Speed of Object is equal to the distance travelled by the body in one second.

Symbol: V_b

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Object

Speed of Sound

The Speed of Sound is defined as speed of the dynamic propagation of sound waves.

Symbol: a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Speed of Sound

Credits

Created by Vinay Mishra

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

Vinay Mishra has created this Formula and 300+ more formulas!

Verified by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has verified this Formula and 300+ more formulas!

Other formulas in Thermodynamics and Governing Equations category

Go Speed of Sound

a = \sqrt{γ \cdot [R-Dry-Air] \cdot T s}

Go Mach Angle

μ = a \sin (\frac{1}{M})

Go Mayer's Formula

R = C p - C v

Go Stagnation Temperature

T 0 = T s + \frac{{U fluid}^{2}}{2 \cdot C p}

How to Evaluate Mach Number?

Mach Number evaluator uses Mach Number = Speed of Object/Speed of Sound to evaluate 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 is denoted by M symbol.

How to evaluate Mach Number using this online evaluator? To use this online evaluator for Mach Number, enter Speed of Object (V_b) & Speed of Sound (a) and hit the calculate button.

FAQs on Mach Number

What is the formula to find Mach Number?

The formula of Mach Number is expressed as Mach Number = Speed of Object/Speed of Sound. Here is an example- 2.040816 = 700/343.

How to calculate Mach Number?

With Speed of Object (V_b) & Speed of Sound (a) we can find Mach Number using the formula - Mach Number = Speed of Object/Speed of Sound.

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Mach Number Formula

Mach Number Example

Mach Number Solution

Mach Number Formula Elements

Credits

Other formulas in Thermodynamics and Governing Equations category

How to Evaluate Mach Number?

FAQs on Mach Number

Variable Name