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Mach Number-2 Formula

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Mach Number 2 is ratio of its velocity to velocity of sound at downstream of point 1. Check FAQs

M = \sqrt{(\frac{((Y - 1) \cdot {M r}^{2} + 2)}{2 \cdot Y \cdot {M r}^{2} - (Y - 1)})}

M - Mach Number 2?Y - Heat Capacity Ratio?M_r - Mach Number?

Mach Number-2 Example

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Here is how the Mach Number-2 equation looks like with Values.

Here is how the Mach Number-2 equation looks like with Units.

Here is how the Mach Number-2 equation looks like.

0.3942 = \sqrt{(\frac{((1.4 - 1) \cdot {7.67}^{2} + 2)}{2 \cdot 1.4 \cdot {7.67}^{2} - (1.4 - 1)})}

0.3942 = \sqrt{(\frac{((1.4 - 1) \cdot {7.67}^{2} + 2)}{2 \cdot 1.4 \cdot {7.67}^{2} - (1.4 - 1)})}

0.3942 = \sqrt{(\frac{((1.4 - 1) \cdot {7.67}^{2} + 2)}{2 \cdot 1.4 \cdot {7.67}^{2} - (1.4 - 1)})}

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Mach Number-2 Solution

Follow our step by step solution on how to calculate Mach Number-2?

FIRST Step Consider the formula

M = \sqrt{(\frac{((Y - 1) \cdot {M r}^{2} + 2)}{2 \cdot Y \cdot {M r}^{2} - (Y - 1)})}

Next Step Substitute values of Variables

∴

M = \sqrt{(\frac{((1.4 - 1) \cdot {7.67}^{2} + 2)}{2 \cdot 1.4 \cdot {7.67}^{2} - (1.4 - 1)})}

Next Step Prepare to Evaluate

∴

M = \sqrt{(\frac{((1.4 - 1) \cdot {7.67}^{2} + 2)}{2 \cdot 1.4 \cdot {7.67}^{2} - (1.4 - 1)})}

Next Step Evaluate

∴

M = 0.39417787762409

LAST Step Rounding Answer

∴

M = 0.3942

Mach Number-2 Formula Elements

Variables

Functions

Mach Number 2

Mach Number 2 is ratio of its velocity to velocity of sound at downstream of point 1.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number 2

Heat Capacity Ratio

The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Mach Number

Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.

Symbol: M_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

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.

Syntax: sqrt(Number)

Other formulas in Preliminary Aerodynamics category

Go Velocity at Sea-Level given Lift Coefficient

V 0 = \sqrt{\frac{2 \cdot W body}{[Std-Air-Density-Sea] \cdot S \cdot C L}}

Go Power required at sea-level conditions

P R,0 = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{[Std-Air-Density-Sea] \cdot S \cdot {C L}^{3}}}

Go Velocity at Altitude

V alt = \sqrt{2 \cdot \frac{W body}{ρ 0 \cdot S \cdot C L}}

Go Power required at Altitude

P R,alt = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{ρ 0 \cdot S \cdot {C L}^{3}}}

How to Evaluate Mach Number-2?

Mach Number-2 evaluator uses Mach Number 2 = sqrt(((((Heat Capacity Ratio-1)*Mach Number^(2)+2))/(2*Heat Capacity Ratio*Mach Number^(2)-(Heat Capacity Ratio-1)))) to evaluate the Mach Number 2, Mach Number-2 is a measure of the ratio of the velocity of an object to the speed of sound in a given medium, calculated by taking into account the adiabatic index and the Mach number, providing a critical value that determines the characteristics of compressible fluid flow. Mach Number 2 is denoted by M symbol.

How to evaluate Mach Number-2 using this online evaluator? To use this online evaluator for Mach Number-2, enter Heat Capacity Ratio (Y) & Mach Number (M_r) and hit the calculate button.

FAQs on Mach Number-2

What is the formula to find Mach Number-2?

The formula of Mach Number-2 is expressed as Mach Number 2 = sqrt(((((Heat Capacity Ratio-1)*Mach Number^(2)+2))/(2*Heat Capacity Ratio*Mach Number^(2)-(Heat Capacity Ratio-1)))). Here is an example- 0.394178 = sqrt(((((1.4-1)*7.67^(2)+2))/(2*1.4*7.67^(2)-(1.4-1)))).

How to calculate Mach Number-2?

With Heat Capacity Ratio (Y) & Mach Number (M_r) we can find Mach Number-2 using the formula - Mach Number 2 = sqrt(((((Heat Capacity Ratio-1)*Mach Number^(2)+2))/(2*Heat Capacity Ratio*Mach Number^(2)-(Heat Capacity Ratio-1)))). This formula also uses Square Root (sqrt) function(s).

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Mach Number-2 Formula

Mach Number-2 Example

Mach Number-2 Solution

Mach Number-2 Formula Elements

Other formulas in Preliminary Aerodynamics category

How to Evaluate Mach Number-2?

FAQs on Mach Number-2

Variable Name