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Mach Number given Dynamic Pressure Formula

GoMach Number given Static and Dynamic Pressure Formula

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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. Check FAQs

M = \sqrt{\frac{2 \cdot q}{ρ \cdot Y \cdot R \cdot T}}

M - Mach Number?q - Dynamic Pressure?ρ - Ambient Air Density?Y - Heat Capacity Ratio?R - Specific Gas Constant?T - Static Temperature?

Mach Number given Dynamic Pressure Example

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Here is how the Mach Number given Dynamic Pressure equation looks like with Values.

Here is how the Mach Number given Dynamic Pressure equation looks like with Units.

Here is how the Mach Number given Dynamic Pressure equation looks like.

0.2301 = \sqrt{\frac{2 \cdot 10}{1.225 \cdot 1.4 \cdot 4.1 \cdot 53.7}}

0.2301 = \sqrt{\frac{2 \cdot 10Pa}{1.225kg/m³ \cdot 1.4 \cdot 4.1J/(kg*K) \cdot 53.7K}}

0.2301 = \sqrt{\frac{2 \cdot 10}{1.225 \cdot 1.4 \cdot 4.1 \cdot 53.7}}

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Mach Number given Dynamic Pressure Solution

Follow our step by step solution on how to calculate Mach Number given Dynamic Pressure?

FIRST Step Consider the formula

M = \sqrt{\frac{2 \cdot q}{ρ \cdot Y \cdot R \cdot T}}

Next Step Substitute values of Variables

∴

M = \sqrt{\frac{2 \cdot 10Pa}{1.225kg/m³ \cdot 1.4 \cdot 4.1J/(kg*K) \cdot 53.7K}}

Next Step Prepare to Evaluate

∴

M = \sqrt{\frac{2 \cdot 10}{1.225 \cdot 1.4 \cdot 4.1 \cdot 53.7}}

Next Step Evaluate

∴

M = 0.23014622961563

LAST Step Rounding Answer

∴

M = 0.2301

Mach Number given Dynamic Pressure Formula Elements

Variables

Functions

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.

Symbol: M

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Dynamic Pressure

Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Ambient Air Density

Ambient Air Density refers to the density of the air surrounding an object or within a particular environment.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Ambient Air Density

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.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Heat Capacity Ratio

Specific Gas Constant

Specific Gas Constant (R) is the constant for a particular gas, representing the amount of energy required to raise the temperature of one unit of the gas by one degree Kelvin (or Celsius) per mole.

Symbol: R

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Specific Gas Constant

Static Temperature

Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Static Temperature

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.

Syntax: sqrt(Number)

Other Formulas to find Mach Number

Go Mach Number given Static and Dynamic Pressure

M = \sqrt{\frac{2 \cdot q}{P static \cdot Y}}

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Go Geometric altitude for given geopotential altitude

h G = [Earth-R] \cdot \frac{h}{[Earth-R] - h}

How to Evaluate Mach Number given Dynamic Pressure?

Mach Number given Dynamic Pressure evaluator uses Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)) to evaluate the Mach Number, Mach Number given Dynamic Pressure is a dimensionless quantity representing the ratio of an object's speed to the speed of sound in the surrounding medium, calculated from dynamic pressure, ambient air density, adiabatic index, gas constant, and static temperature, it is a crucial parameter in aerodynamics, used to characterize the nature of flow and predict compressibility effects. Mach Number is denoted by M symbol.

How to evaluate Mach Number given Dynamic Pressure using this online evaluator? To use this online evaluator for Mach Number given Dynamic Pressure, enter Dynamic Pressure (q), Ambient Air Density (ρ), Heat Capacity Ratio (Y), Specific Gas Constant (R) & Static Temperature (T) and hit the calculate button.

FAQs on Mach Number given Dynamic Pressure

What is the formula to find Mach Number given Dynamic Pressure?

The formula of Mach Number given Dynamic Pressure is expressed as Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)). Here is an example- 2.633899 = sqrt((2*10)/(1.225*1.4*4.1*53.7)).

How to calculate Mach Number given Dynamic Pressure?

With Dynamic Pressure (q), Ambient Air Density (ρ), Heat Capacity Ratio (Y), Specific Gas Constant (R) & Static Temperature (T) we can find Mach Number given Dynamic Pressure using the formula - Mach Number = sqrt((2*Dynamic Pressure)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mach Number?

Here are the different ways to Calculate Mach Number-

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

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Mach Number given Dynamic Pressure Formula

​GoMach Number given Static and Dynamic Pressure Formula

Mach Number given Dynamic Pressure Example

Mach Number given Dynamic Pressure Solution

Mach Number given Dynamic Pressure Formula Elements

Other Formulas to find Mach Number

Other formulas in Atmosphere and Gas Properties category

How to Evaluate Mach Number given Dynamic Pressure?

FAQs on Mach Number given Dynamic Pressure

Variable Name

GoMach Number given Static and Dynamic Pressure Formula