LCM of two numbers

Mach Angle Calculator

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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.ⓘ Mach Number [M]

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✖Mach Angle is defined as the angle between the Mach line and the direction of motion of the body.ⓘ Mach Angle [μ]

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Formula

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Mach Angle

Formula

μ = a \sin (\frac{1}{M})

Example

30 ° = a \sin (\frac{1}{2})

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Mach Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Angle = asin(1/Mach Number)
μ = asin(1/M)
This formula uses 2 Functions, 2 Variables

Functions Used

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., 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., asin(Number)

Variables Used

Mach Angle - (Measured in Radian) - Mach Angle is defined as the angle between the Mach line and the direction of motion of the body.
Mach Number - Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

STEP 1: Convert Input(s) to Base Unit

Mach Number: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = asin(1/M) --> asin(1/2)

Evaluating ... ...

μ = 0.523598775598299

STEP 3: Convert Result to Output's Unit

0.523598775598299 Radian -->30.0000000000056 Degree (Check conversion here)

FINAL ANSWER

30.0000000000056 ≈ 30 Degree <-- Mach Angle

(Calculation completed in 00.004 seconds)

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Credits

Created by Vinay Mishra

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

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

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

Sanjay Krishna has verified this Calculator and 200+ more calculators!

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Go Specific Gas Constant = Specific Heat Capacity at Constant Pressure-Specific Heat Capacity at Constant Volume

Mach Number

Go Mach Number = Speed of Object/Speed of Sound

Mach Angle

Go Mach Angle = asin(1/Mach Number)

Mach Angle Formula

Mach Angle = asin(1/Mach Number)
μ = asin(1/M)

What is the Mach cone?

Mach cone is defined as the conical pressure wavefront produced by a body moving at a speed greater than that of sound.

How to Calculate Mach Angle?

Mach Angle calculator uses Mach Angle = asin(1/Mach Number) to calculate 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 calculate Mach Angle using this online calculator? To use this online calculator for Mach Angle, enter Mach Number (M) and hit the calculate button. Here is how the Mach Angle calculation can be explained with given input values -> 1718.873 = asin(1/2).

FAQ

What is 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 and is represented as μ = asin(1/M) or Mach Angle = asin(1/Mach Number). Mach Number is a dimensionless quantity representing the ratio of flow velocity past a boundary to the local speed of sound.

How to calculate 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 is calculated using Mach Angle = asin(1/Mach Number). To calculate Mach Angle, you need Mach Number (M). With our tool, you need to enter the respective value for Mach Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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