Velocity of Sound Wave given Mach Number for Compressible Fluid Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow
C = V/M
This formula uses 3 Variables
Variables Used
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.
Mach Number for Compressible Flow - Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.
STEP 1: Convert Input(s) to Base Unit
Projectile Velocity of Mach Cone: 410 Meter per Second --> 410 Meter per Second No Conversion Required
Mach Number for Compressible Flow: 1.24 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = V/M --> 410/1.24
Evaluating ... ...
C = 330.645161290323
STEP 3: Convert Result to Output's Unit
330.645161290323 Meter per Second --> No Conversion Required
FINAL ANSWER
330.645161290323 330.6452 Meter per Second <-- Velocity of Sound in Medium
(Calculation completed in 00.004 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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Pressure Ratio for Maximum Flow Rate through Nozzle
Go Pressure Ratio for Flow through Nozzle = (2/(Specific Heat Ratio+1))^(Specific Heat Ratio/(Specific Heat Ratio-1))
Velocity of Projectile of Mach Cone in Compressible Fluid Flow
Go Projectile Velocity of Mach Cone = Velocity of Sound in Medium/(sin(Mach Angle in Compressible Flow))
Mach Angle for Compressible Fluid Flow
Go Mach Angle in Compressible Flow = asin(Velocity of Sound in Medium/Projectile Velocity of Mach Cone)
Velocity of Sound Wave considering Mach Angle in Compressible Fluid Flow
Go Velocity of Sound in Medium = Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)
Velocity of Sound Wave given Bulk Modulus
Go Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
Sonic Velocity
Go Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
Velocity of Sound Wave given Mach Number for Compressible Fluid Flow
Go Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow
Mach Number for Compressible Fluid Flow
Go Mach Number for Compressible Flow = Projectile Velocity of Mach Cone/Velocity of Sound in Medium
Bulk Modulus for Velocity of Sound Wave
Go Bulk Modulus of Sound Medium = Density of Air Medium*Velocity of Sound in Medium^2

Velocity of Sound Wave given Mach Number for Compressible Fluid Flow Formula

Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow
C = V/M

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 Sound Wave given Mach Number for Compressible Fluid Flow?

Velocity of Sound Wave given Mach Number for Compressible Fluid Flow calculator uses Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow to calculate the Velocity of Sound in Medium, The Velocity of sound wave given Mach number for compressible fluid flow formula is known by ratio of velocity of fluid to Mach number. Velocity of Sound in Medium is denoted by C symbol.

How to calculate Velocity of Sound Wave given Mach Number for Compressible Fluid Flow using this online calculator? To use this online calculator for Velocity of Sound Wave given Mach Number for Compressible Fluid Flow, enter Projectile Velocity of Mach Cone (V) & Mach Number for Compressible Flow (M) and hit the calculate button. Here is how the Velocity of Sound Wave given Mach Number for Compressible Fluid Flow calculation can be explained with given input values -> 330.6452 = 410/1.24.

FAQ

What is Velocity of Sound Wave given Mach Number for Compressible Fluid Flow?
The Velocity of sound wave given Mach number for compressible fluid flow formula is known by ratio of velocity of fluid to Mach number and is represented as C = V/M or Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow. Projectile Velocity of Mach Cone is the velocity of the projectile at an angle in the mach cone & Mach Number for Compressible Flow is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound.
How to calculate Velocity of Sound Wave given Mach Number for Compressible Fluid Flow?
The Velocity of sound wave given Mach number for compressible fluid flow formula is known by ratio of velocity of fluid to Mach number is calculated using Velocity of Sound in Medium = Projectile Velocity of Mach Cone/Mach Number for Compressible Flow. To calculate Velocity of Sound Wave given Mach Number for Compressible Fluid Flow, you need Projectile Velocity of Mach Cone (V) & Mach Number for Compressible Flow (M). With our tool, you need to enter the respective value for Projectile Velocity of Mach Cone & Mach Number for Compressible Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Velocity of Sound in Medium?
In this formula, Velocity of Sound in Medium uses Projectile Velocity of Mach Cone & Mach Number for Compressible Flow. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
  • Velocity of Sound in Medium = Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)
  • Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
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