## Credits

Sri sivasubramaniyanadar college of engineering (ssn college of engineering), Chennai
Prasana Kannan has created this Calculator and 25+ more calculators!
Mahatma Gandhi Institute of Technology (MGIT), Hyderabad
Kaki Varun Krishna has verified this Calculator and 10+ more calculators!

## Mach number given Impact and Static pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mach number = (5*((((Impact Pressure/Static pressure)+1)^(2/7))-1))^(0.5)
M = (5*((((qc/p)+1)^(2/7))-1))^(0.5)
This formula uses 2 Variables
Variables Used
Impact Pressure - Impact Pressure is the difference between total pressure and static pressure. (Measured in Pascal)
Static pressure - Static pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state. (Measured in Pascal)
STEP 1: Convert Input(s) to Base Unit
Impact Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Static pressure: 100 Pascal --> 100 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (5*((((qc/p)+1)^(2/7))-1))^(0.5) --> (5*((((10/100)+1)^(2/7))-1))^(0.5)
Evaluating ... ...
M = 0.37152150228396
STEP 3: Convert Result to Output's Unit
0.37152150228396 --> No Conversion Required
0.37152150228396 <-- Mach number
(Calculation completed in 00.000 seconds)

## < 10+ Normal Shock Waves Calculators

Mach Number behind the shock
Mach Number behind shock = ((2+(Specific Heat Ratio*(Mach Number ahead of shock^2))-(Mach Number ahead of shock^2))/((2*Specific Heat Ratio*(Mach Number ahead of shock^2))-Specific Heat Ratio+1))^(1/2) Go
Static Pressure behind of normal shock using normal shock momentum equation
Static pressure behind shock = Static pressure ahead of shock+(Density ahead of shock*(Velocity upstream of shock^2))-(Density behind shock*(Velocity downstream of shock^2)) Go
Static Pressure ahead of normal shock using normal shock momentum equation
Static pressure ahead of shock = Static pressure behind shock+(Density behind shock*(Velocity downstream of shock^2))-(Density ahead of shock*(Velocity upstream of shock^2)) Go
Velocity behind a normal shock
Velocity downstream of shock = Velocity upstream of shock/((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+(2/(Mach Number ahead of shock^2)))) Go
Entropy change across normal shock
Change in Entropy = Specific gas constant*ln(Stagnation pressure ahead of shock/Stagnation pressure behind shock) Go
Relation between Characteristic Mach number and Mach number
Characteristic Mach number = ((Specific Heat Ratio+1)/((Specific Heat Ratio-1)+(2/(Mach Number^2))))^0.5 Go
Shock strength
Shock Strength = (2*Specific Heat Ratio/(1+Specific Heat Ratio))*((Mach Number ahead of shock^2)-1) Go
Prandtl Condition
Velocity downstream of shock = (Critical speed of sound^2)/Velocity upstream of shock Go
Characteristic Mach number
Characteristic Mach number = Fluid Velocity/Critical speed of sound Go
Characteristic Mach Number behind shock
Characteristic Mach number behind shock = 1/Characteristic Mach number ahead of shock Go

### Mach number given Impact and Static pressure Formula

Mach number = (5*((((Impact Pressure/Static pressure)+1)^(2/7))-1))^(0.5)
M = (5*((((qc/p)+1)^(2/7))-1))^(0.5)

## What is a Mach Number?

Mach number M is defined as the ratio of the true airspeed V to the speed of sound and in the air at the flight altitude.

## What is meant by impact pressure?

Impact pressure is the difference between total pressure (also known as pitot pressure or stagnation pressure) and static pressure.

## How to Calculate Mach number given Impact and Static pressure?

Mach number given Impact and Static pressure calculator uses Mach number = (5*((((Impact Pressure/Static pressure)+1)^(2/7))-1))^(0.5) to calculate the Mach number, The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure. Mach number is denoted by M symbol.

How to calculate Mach number given Impact and Static pressure using this online calculator? To use this online calculator for Mach number given Impact and Static pressure, enter Impact Pressure (qc) & Static pressure (p) and hit the calculate button. Here is how the Mach number given Impact and Static pressure calculation can be explained with given input values -> 0.371522 = (5*((((10/100)+1)^(2/7))-1))^(0.5).

### FAQ

What is Mach number given Impact and Static pressure?
The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure and is represented as M = (5*((((qc/p)+1)^(2/7))-1))^(0.5) or Mach number = (5*((((Impact Pressure/Static pressure)+1)^(2/7))-1))^(0.5). Impact Pressure is the difference between total pressure and static pressure & Static pressure is defined as the actual pressure of the fluid, which is associated not with its motion but with its state.
How to calculate Mach number given Impact and Static pressure?
The Mach number given Impact and Static pressure can be used for the calibration of Machmeters, where the Mach number is directly proportional to the ratio of the impact pressure to the static pressure is calculated using Mach number = (5*((((Impact Pressure/Static pressure)+1)^(2/7))-1))^(0.5). To calculate Mach number given Impact and Static pressure, you need Impact Pressure (qc) & Static pressure (p). With our tool, you need to enter the respective value for Impact Pressure & Static pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well. Let Others Know