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Mach Number given Static and Dynamic Pressure Formula

GoMach Number given 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}{P static \cdot Y}}

M - Mach Number?q - Dynamic Pressure?P_static - Static Pressure?Y - Heat Capacity Ratio?

Mach Number given Static and Dynamic Pressure Example

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

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

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

0.23 = \sqrt{\frac{2 \cdot 10}{270 \cdot 1.4}}

0.23 = \sqrt{\frac{2 \cdot 10Pa}{270Pa \cdot 1.4}}

0.23 = \sqrt{\frac{2 \cdot 10}{270 \cdot 1.4}}

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Mach Number given Static and Dynamic Pressure Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

M = \sqrt{\frac{2 \cdot 10Pa}{270Pa \cdot 1.4}}

Next Step Prepare to Evaluate

∴

M = \sqrt{\frac{2 \cdot 10}{270 \cdot 1.4}}

Next Step Evaluate

∴

M = 0.230021853114118

LAST Step Rounding Answer

∴

M = 0.23

Mach Number given Static and 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

Static Pressure

Static Pressure is the pressure exerted by a fluid (such as air or a gas) that is not in motion.

Symbol: P_static

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Static Pressure

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

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 Dynamic Pressure

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

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

Go Geometric altitude for given geopotential altitude

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

How to Evaluate Mach Number given Static and Dynamic Pressure?

Mach Number given Static and Dynamic Pressure evaluator uses Mach Number = sqrt((2*Dynamic Pressure)/(Static Pressure*Heat Capacity Ratio)) to evaluate the Mach Number, Mach Number given Static and Dynamic Pressure is a dimensionless quantity representing the ratio of an object's speed to the speed of sound in a given medium, calculated by considering the dynamic pressure, static pressure, and Heat capacity ratio. Mach Number is denoted by M symbol.

How to evaluate Mach Number given Static and Dynamic Pressure using this online evaluator? To use this online evaluator 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.

FAQs on Mach Number given Static and Dynamic Pressure

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

The formula of Mach Number given Static and Dynamic Pressure is expressed as Mach Number = sqrt((2*Dynamic Pressure)/(Static Pressure*Heat Capacity Ratio)). Here is an example- 0.230022 = sqrt((2*10)/(270*1.4)).

How to calculate Mach Number given Static and Dynamic Pressure?

With Dynamic Pressure (q), Static Pressure (P_static) & Heat Capacity Ratio (Y) we can find Mach Number given Static and Dynamic Pressure using the formula - Mach Number = sqrt((2*Dynamic Pressure)/(Static Pressure*Heat Capacity Ratio)). 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)/(Ambient Air Density*Heat Capacity Ratio*Specific Gas Constant*Static Temperature))

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Mach Number given Static and Dynamic Pressure Formula

​GoMach Number given Dynamic Pressure Formula

Mach Number given Static and Dynamic Pressure Example

Mach Number given Static and Dynamic Pressure Solution

Mach Number given Static and Dynamic Pressure Formula Elements

Other Formulas to find Mach Number

Other formulas in Atmosphere and Gas Properties category

How to Evaluate Mach Number given Static and Dynamic Pressure?

FAQs on Mach Number given Static and Dynamic Pressure

Variable Name

GoMach Number given Dynamic Pressure Formula