Sonic Velocity Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
C = sqrt(K/ρa)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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.
Bulk Modulus of Sound Medium - (Measured in Pascal) - Bulk Modulus of Sound Medium is a measure of the ability of a substance to withstand changes in volume when under compression on all sides.
Density of Air Medium - (Measured in Kilogram per Cubic Meter) - Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
STEP 1: Convert Input(s) to Base Unit
Bulk Modulus of Sound Medium: 143000 Newton per Square Meter --> 143000 Pascal (Check conversion here)
Density of Air Medium: 1.29 Kilogram per Cubic Meter --> 1.29 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
C = sqrt(K/ρa) --> sqrt(143000/1.29)
Evaluating ... ...
C = 332.945510824661
STEP 3: Convert Result to Output's Unit
332.945510824661 Meter per Second --> No Conversion Required
FINAL ANSWER
332.945510824661 332.9455 Meter per Second <-- Velocity of Sound in Medium
(Calculation completed in 00.004 seconds)

Credits

Created by Shareef Alex
velagapudi ramakrishna siddhartha engineering college (vr siddhartha engineering college), vijayawada
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Shri Govindram Seksaria Institute of Technology and Science (SGSITS), Indore
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10+ Compressible Flow Parameters Calculators

Velocity at Outlet of Nozzle for Maximum Flow Rate of Fluid
Go Velocity of Flow at Nozzle Outlet = sqrt((2*Specific Heat Ratio*Pressure at Nozzle Inlet)/((Specific Heat Ratio+1)*Density of Air Medium))
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

Sonic Velocity Formula

Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium)
C = sqrt(K/ρa)

What is sonic flow velocity?

The maximum velocity is limited by the velocity of propagation of a pressure wave that travels at the speed of sound in the fluid. The maximum velocity that a compressible fluid can attain in a pipe is known as the sonic velocity.

What is sonic and subsonic flow?

Subsonic Flow: When Mach number is less than 1.0 or V is less than C, then the flow is called Subsonic Flow. Sonic Flow: When Mach number equal to 1.0 or V is equal to C, then the flow is called Sonic Flow.

How to Calculate Sonic Velocity?

Sonic Velocity calculator uses Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium) to calculate the Velocity of Sound in Medium, The Sonic velocity formula is defined as the velocity of sound in that fluid (a gas/vapor). It is a maximum that can be achieved by the fluid. Velocity of Sound in Medium is denoted by C symbol.

How to calculate Sonic Velocity using this online calculator? To use this online calculator for Sonic Velocity, enter Bulk Modulus of Sound Medium (K) & Density of Air Medium a) and hit the calculate button. Here is how the Sonic Velocity calculation can be explained with given input values -> 332.9455 = sqrt(143000/1.29).

FAQ

What is Sonic Velocity?
The Sonic velocity formula is defined as the velocity of sound in that fluid (a gas/vapor). It is a maximum that can be achieved by the fluid and is represented as C = sqrt(K/ρa) or Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). Bulk Modulus of Sound Medium is a measure of the ability of a substance to withstand changes in volume when under compression on all sides & Density of Air Medium shows the denseness of the air. This is taken as mass per unit volume.
How to calculate Sonic Velocity?
The Sonic velocity formula is defined as the velocity of sound in that fluid (a gas/vapor). It is a maximum that can be achieved by the fluid is calculated using Velocity of Sound in Medium = sqrt(Bulk Modulus of Sound Medium/Density of Air Medium). To calculate Sonic Velocity, you need Bulk Modulus of Sound Medium (K) & Density of Air Medium a). With our tool, you need to enter the respective value for Bulk Modulus of Sound Medium & Density of Air Medium 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 Bulk Modulus of Sound Medium & Density of Air Medium. 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/Mach Number for Compressible Flow
  • Velocity of Sound in Medium = Projectile Velocity of Mach Cone*sin(Mach Angle in Compressible Flow)
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