Mach Angle for Compressible Fluid Flow Calculator

✖Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave.ⓘ Velocity of Sound in Medium [C]			+10% -10%
✖Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone.ⓘ Projectile Velocity of Mach Cone [V]			+10% -10%

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

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Mach Angle for Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
μ = asin(C/V)
This formula uses 2 Functions, 3 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 in Compressible Flow - (Measured in Radian) - Mach Angle in Compressible Flow is defined as the angle between the Mach line and the direction of motion of the body.
Velocity of Sound in Medium - (Measured in Meter per Second) - Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave.
Projectile Velocity of Mach Cone - (Measured in Meter per Second) - Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone.

STEP 1: Convert Input(s) to Base Unit

Velocity of Sound in Medium: 330 Meter per Second --> 330 Meter per Second No Conversion Required
Projectile Velocity of Mach Cone: 410 Meter per Second --> 410 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

μ = asin(C/V) --> asin(330/410)

Evaluating ... ...

μ = 0.935469940830376

STEP 3: Convert Result to Output's Unit

0.935469940830376 Radian -->53.5984794709435 Degree (Check conversion here)

FINAL ANSWER

53.5984794709435 ≈ 53.59848 Degree <-- Mach Angle in Compressible Flow

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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< Compressible Flow Parameters Calculators

Velocity of Projectile of Mach Cone in Compressible Fluid Flow

LaTeX Go Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow))

Mach Angle for Compressible Fluid Flow

LaTeX Go Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)

Mach Number for Compressible Fluid Flow

LaTeX Go Mach Number For Compressible Flow = Projectile Velocity of Mach Cone/Velocity of Sound in Medium

Bulk Modulus for Velocity of Sound Wave

LaTeX Go Bulk Modulus of Sound Medium = Density of Air Medium*Velocity of Sound in Medium^2

Mach Angle for Compressible Fluid Flow Formula

LaTeX Go

Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
μ = asin(C/V)

What is the significance of Mach number in compressible fluid flow?

The Mach Number is a dimensionless value useful for analyzing fluid flow dynamics problems where compressibility is a significant factor. The bulk modulus elasticity has the dimension pressure and is commonly used to characterize fluid compressibility. The square of the Mach number is the Cauchy Number.

What is the velocity of sound in solids?

The speed of sound in solid is 6000 meters per second while the speed of sound in steel is equal to 5100 meters per second. Another interesting fact about the speed of the sound is that sound travels 35 times faster in diamonds than in the air.

How to Calculate Mach Angle for Compressible Fluid Flow?

Mach Angle for Compressible Fluid Flow calculator uses Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone) to calculate the Mach Angle in Compressible Flow, Mach Angle for Compressible Fluid Flow describes the angle at which a shock wave forms relative to the direction of motion of the fluid when it travels faster than the speed of sound. Understanding the Mach angle is crucial in aerodynamics and shock wave physics to analyze and predict the behavior of supersonic and hypersonic flows. Mach Angle in Compressible Flow is denoted by μ symbol.

How to calculate Mach Angle for Compressible Fluid Flow using this online calculator? To use this online calculator for Mach Angle for Compressible Fluid Flow, enter Velocity of Sound in Medium (C) & Projectile Velocity of Mach Cone (V) and hit the calculate button. Here is how the Mach Angle for Compressible Fluid Flow calculation can be explained with given input values -> 3070.967 = asin(330/410).

FAQ

What is Mach Angle for Compressible Fluid Flow?

Mach Angle for Compressible Fluid Flow describes the angle at which a shock wave forms relative to the direction of motion of the fluid when it travels faster than the speed of sound. Understanding the Mach angle is crucial in aerodynamics and shock wave physics to analyze and predict the behavior of supersonic and hypersonic flows and is represented as μ = asin(C/V) or Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone). Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave & Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone.

How to calculate Mach Angle for Compressible Fluid Flow?

Mach Angle for Compressible Fluid Flow describes the angle at which a shock wave forms relative to the direction of motion of the fluid when it travels faster than the speed of sound. Understanding the Mach angle is crucial in aerodynamics and shock wave physics to analyze and predict the behavior of supersonic and hypersonic flows is calculated using Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone). To calculate Mach Angle for Compressible Fluid Flow, you need Velocity of Sound in Medium (C) & Projectile Velocity of Mach Cone (V). With our tool, you need to enter the respective value for Velocity of Sound in Medium & Projectile Velocity of Mach Cone 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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