Velocity of Projectile of Mach Cone in Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow))
V = C/(sin(μ))
This formula uses 1 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)
Variables Used
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Velocity of Sound in Medium: 330 Meter per Second --> 330 Meter per Second No Conversion Required
Mach Angle in Compressible Flow: 53.6 Degree --> 0.935496479068785 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = C/(sin(μ)) --> 330/(sin(0.935496479068785))
Evaluating ... ...
V = 409.99197792814
STEP 3: Convert Result to Output's Unit
409.99197792814 Meter per Second --> No Conversion Required
FINAL ANSWER
409.99197792814 409.992 Meter per Second <-- Projectile Velocity of Mach Cone
(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

Velocity of Projectile of Mach Cone in Compressible Fluid Flow Formula

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

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 Velocity of Projectile of Mach Cone in Compressible Fluid Flow?

Velocity of Projectile of Mach Cone in Compressible Fluid Flow calculator uses Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow)) to calculate the Projectile Velocity of Mach Cone, Velocity of Projectile of Mach Cone in Compressible Fluid Flow describes the speed at which the projectile travels when it reaches or exceeds the speed of sound in the surrounding medium. Understanding this velocity is crucial in aerodynamics and ballistic studies, as it indicates the onset of shock waves and the aerodynamic challenges associated with supersonic and hypersonic flight. Projectile Velocity of Mach Cone is denoted by V symbol.

How to calculate Velocity of Projectile of Mach Cone in Compressible Fluid Flow using this online calculator? To use this online calculator for Velocity of Projectile of Mach Cone in Compressible Fluid Flow, enter Velocity of Sound in Medium (C) & Mach Angle in Compressible Flow (μ) and hit the calculate button. Here is how the Velocity of Projectile of Mach Cone in Compressible Fluid Flow calculation can be explained with given input values -> 409.992 = 330/(sin(0.935496479068785)).

FAQ

What is Velocity of Projectile of Mach Cone in Compressible Fluid Flow?
Velocity of Projectile of Mach Cone in Compressible Fluid Flow describes the speed at which the projectile travels when it reaches or exceeds the speed of sound in the surrounding medium. Understanding this velocity is crucial in aerodynamics and ballistic studies, as it indicates the onset of shock waves and the aerodynamic challenges associated with supersonic and hypersonic flight and is represented as V = C/(sin(μ)) or Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow)). Velocity of Sound in Medium is the speed of sound measured as the distance traveled per unit of time by a sound wave & Mach Angle in Compressible Flow is defined as the angle between the Mach line and the direction of motion of the body.
How to calculate Velocity of Projectile of Mach Cone in Compressible Fluid Flow?
Velocity of Projectile of Mach Cone in Compressible Fluid Flow describes the speed at which the projectile travels when it reaches or exceeds the speed of sound in the surrounding medium. Understanding this velocity is crucial in aerodynamics and ballistic studies, as it indicates the onset of shock waves and the aerodynamic challenges associated with supersonic and hypersonic flight is calculated using Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow)). To calculate Velocity of Projectile of Mach Cone in Compressible Fluid Flow, you need Velocity of Sound in Medium (C) & Mach Angle in Compressible Flow (μ). With our tool, you need to enter the respective value for Velocity of Sound in Medium & Mach Angle in Compressible Flow 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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