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Mach Angle Formula

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Mach Angle is defined as the angle between the Mach line and the direction of motion of the body. Check FAQs

μ = a \sin (\frac{1}{M})

μ - Mach Angle?M - Mach Number?

Mach Angle Example

With values

With units

Only example

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

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

Here is how the Mach Angle equation looks like.

30 = a \sin (\frac{1}{2})

30° = a \sin (\frac{1}{2})

30 = a \sin (\frac{1}{2})

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Mach Angle Solution

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

FIRST Step Consider the formula

μ = a \sin (\frac{1}{M})

Next Step Substitute values of Variables

∴

μ = a \sin (\frac{1}{2})

Next Step Prepare to Evaluate

∴

μ = a \sin (\frac{1}{2})

Next Step Evaluate

∴

μ = 0.523598775598299rad

Next Step Convert to Output's Unit

∴

μ = 30.0000000000056°

LAST Step Rounding Answer

∴

μ = 30°

Mach Angle Formula Elements

Variables

Functions

Mach Angle

Mach Angle is defined as the angle between the Mach line and the direction of motion of the body.

Symbol: μ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Mach Angle

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Thermodynamics and Governing Equations category

Go Speed of Sound

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

Go Mach Number

M = \frac{V b}{a}

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 Angle?

Mach Angle evaluator uses Mach Angle = asin(1/Mach Number) to evaluate the Mach Angle, The Mach Angle is an angle that describes the oblique shock wave formed when a body moves through a fluid at a supersonic speed. It represents the angle between the direction of motion of the body and the direction of the oblique shock wave. Mach Angle is denoted by μ symbol.

How to evaluate Mach Angle using this online evaluator? To use this online evaluator for Mach Angle, enter Mach Number (M) and hit the calculate button.

FAQs on Mach Angle

What is the formula to find Mach Angle?

The formula of Mach Angle is expressed as Mach Angle = asin(1/Mach Number). Here is an example- 1718.873 = asin(1/2).

How to calculate Mach Angle?

With Mach Number (M) we can find Mach Angle using the formula - Mach Angle = asin(1/Mach Number). This formula also uses Sine, Inverse Sine function(s).

Can the Mach Angle be negative?

No, the Mach Angle, measured in Angle cannot be negative.

Which unit is used to measure Mach Angle?

Mach Angle is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Mach Angle can be measured.

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