Mach Number given Static and Dynamic Pressure Calculator

⤿

Introduction and Governing Equations

Aircraft Design

Aircraft Performance

Static Stability and Control

⤿

Atmosphere and Gas Properties

Aircraft Dynamics Nomenclature

Lift and Drag Polar

Preliminary Aerodynamics

✖Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.ⓘ Dynamic Pressure [q]			+10% -10%
✖Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion.ⓘ Static Pressure [P_static]			+10% -10%
✖The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.ⓘ Heat Capacity Ratio [Y]			+10% -10%

✖Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.ⓘ Mach Number given Static and Dynamic Pressure [M]

⎘ Copy

👎

Formula

✖

Mach Number given Static and Dynamic Pressure

Formula

`"M" = sqrt(2*"q"/("P"_{"static"}*"Y"))`

Example

`"0.239046"=sqrt(2*"10Pa"/("250Pa"*"1.4"))`

Calculator

LaTeX

Reset

👍

Download Physics Formula PDF PDF Image

Mach Number given Static and Dynamic Pressure Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))
M = sqrt(2*q/(P_static*Y))
This formula uses 1 Functions, 4 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

Mach Number - Mach Number (Ma) is a dimensionless quantity that represents the ratio of the speed of an object (such as an aircraft or projectile) to the speed of sound in the surrounding medium.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.
Static Pressure - (Measured in Pascal) - Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion.
Heat Capacity Ratio - The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Static Pressure: 250 Pascal --> 250 Pascal No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = sqrt(2*q/(P_static*Y)) --> sqrt(2*10/(250*1.4))

Evaluating ... ...

M = 0.239045721866879

STEP 3: Convert Result to Output's Unit

0.239045721866879 --> No Conversion Required

FINAL ANSWER

0.239045721866879 ≈ 0.239046 <-- Mach Number

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Aircraft Mechanics » Introduction and Governing Equations » Atmosphere and Gas Properties » Mach Number given Static and Dynamic Pressure

Credits

Created by Himanshu Sharma

National Institute of Technology, Hamirpur (NITH), Himachal Pradesh

Himanshu Sharma has created this Calculator and 50+ more calculators!

Verified by Kartikay Pandit

National Institute Of Technology (NIT), Hamirpur

Kartikay Pandit has verified this Calculator and 400+ more calculators!

< 14 Atmosphere and Gas Properties Calculators

Mach Number given Dynamic Pressure

Go Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))

Ambient Air Density given Mach Number and Temperature

Go Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)

Temperature given Dynamic Pressure and Mach Number

Go Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio)

Gas constant given dynamic pressure

Go Specific Gas Constant = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Heat Capacity Ratio*Static Temperature)

Equivalent Airspeed given Static Pressure

Go Equivalent Airspeed = Sonic Speed at Sea Level*Mach Number*(Static Pressure*6894.7573/Static Sea Level Pressure)^(0.5)

Geometric altitude for given geopotential altitude

Go Geometric Altitude = [Earth-R]*Geopotential altitude/([Earth-R]-Geopotential altitude)

Geopotential altitude

Go Geopotential altitude = [Earth-R]*Geometric Altitude/([Earth-R]+Geometric Altitude)

Mach Number given Static and Dynamic Pressure

Go Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))

Ambient Pressure given Dynamic Pressure and Mach Number

Go Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2)

Ambient air density given mach number

Go Ambient Air Density = 2*Dynamic Pressure/(Mach Number*Sonic Speed)^2

Ambient air density given dynamic pressure

Go Ambient Air Density = 2*Dynamic Pressure/(Flight Speed^2)

Lapse rate

Go Lapse Rate = Change in Temperature/Altitude difference

Geometric altitude

Go Geometric Altitude = Absolute Altitude-[Earth-R]

Absolute altitude

Go Absolute Altitude = Geometric Altitude+[Earth-R]

Mach Number given Static and Dynamic Pressure Formula

Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio))
M = sqrt(2*q/(P_static*Y))

What is specific heat of air?

specific heat, the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The units of specific heat are usually calories or joules per gram per Celsius degree.

How to Calculate Mach Number given Static and Dynamic Pressure?

Mach Number given Static and Dynamic Pressure calculator uses Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio)) to calculate the Mach Number, Mach Number given Static and Dynamic Pressure formula evaluates the Mach number which is defined as ratio of speed of object to the speed of sound, using static and dynamic pressure. Mach Number is denoted by M symbol.

How to calculate Mach Number given Static and Dynamic Pressure using this online calculator? To use this online calculator for Mach Number given Static and Dynamic Pressure, enter Dynamic Pressure (q), Static Pressure (P_static) & Heat Capacity Ratio (Y) and hit the calculate button. Here is how the Mach Number given Static and Dynamic Pressure calculation can be explained with given input values -> 0.239046 = sqrt(2*10/(250*1.4)).

FAQ

What is Mach Number given Static and Dynamic Pressure?

Mach Number given Static and Dynamic Pressure formula evaluates the Mach number which is defined as ratio of speed of object to the speed of sound, using static and dynamic pressure and is represented as M = sqrt(2*q/(P_static*Y)) or Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio)). Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid, Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion & The Heat Capacity Ratio also known as the adiabatic index is the ratio of specific heats i.e. the ratio of the heat capacity at constant pressure to heat capacity at constant volume.

How to calculate Mach Number given Static and Dynamic Pressure?

Mach Number given Static and Dynamic Pressure formula evaluates the Mach number which is defined as ratio of speed of object to the speed of sound, using static and dynamic pressure is calculated using Mach Number = sqrt(2*Dynamic Pressure/(Static Pressure*Heat Capacity Ratio)). To calculate Mach Number given Static and Dynamic Pressure, you need Dynamic Pressure (q), Static Pressure (P_static) & Heat Capacity Ratio (Y). With our tool, you need to enter the respective value for Dynamic Pressure, Static Pressure & Heat Capacity Ratio 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 Mach Number?

In this formula, Mach Number uses Dynamic Pressure, Static Pressure & Heat Capacity Ratio. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))

Home

FREE PDFs

🔍 Search