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Ambient Pressure given Dynamic Pressure and Mach Number Formula

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

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

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

Ambient Pressure given Dynamic Pressure and Mach Number Example

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

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

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

270.0513 = \frac{2 \cdot 10}{1.4 \cdot {0.23}^{2}}

270.0513Pa = \frac{2 \cdot 10Pa}{1.4 \cdot {0.23}^{2}}

270.0513 = \frac{2 \cdot 10}{1.4 \cdot {0.23}^{2}}

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Ambient Pressure given Dynamic Pressure and Mach Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P static = \frac{2 \cdot 10Pa}{1.4 \cdot {0.23}^{2}}

Next Step Prepare to Evaluate

∴

P static = \frac{2 \cdot 10}{1.4 \cdot {0.23}^{2}}

Next Step Evaluate

∴

P static = 270.051309748852Pa

LAST Step Rounding Answer

∴

P static = 270.0513Pa

Ambient Pressure given Dynamic Pressure and Mach Number Formula Elements

Variables

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

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

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

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

Other formulas in Atmosphere and Gas Properties category

Go Absolute altitude

h a = h G + [Earth-R]

Go Geometric altitude

h G = h a - [Earth-R]

Go Geopotential altitude

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 Ambient Pressure given Dynamic Pressure and Mach Number?

Ambient Pressure given Dynamic Pressure and Mach Number evaluator uses Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2) to evaluate the Static Pressure, Ambient Pressure given Dynamic Pressure and Mach Number is a measure of the surrounding atmospheric pressure in a fluid flow, calculated by relating the dynamic pressure to the Mach number. Static Pressure is denoted by P_static symbol.

How to evaluate Ambient Pressure given Dynamic Pressure and Mach Number using this online evaluator? To use this online evaluator for Ambient Pressure given Dynamic Pressure and Mach Number, enter Dynamic Pressure (q), Heat Capacity Ratio (Y) & Mach Number (M) and hit the calculate button.

FAQs on Ambient Pressure given Dynamic Pressure and Mach Number

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

The formula of Ambient Pressure given Dynamic Pressure and Mach Number is expressed as Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2). Here is an example- 270.0513 = (2*10)/(1.4*0.23^2).

How to calculate Ambient Pressure given Dynamic Pressure and Mach Number?

With Dynamic Pressure (q), Heat Capacity Ratio (Y) & Mach Number (M) we can find Ambient Pressure given Dynamic Pressure and Mach Number using the formula - Static Pressure = (2*Dynamic Pressure)/(Heat Capacity Ratio*Mach Number^2).

Can the Ambient Pressure given Dynamic Pressure and Mach Number be negative?

No, the Ambient Pressure given Dynamic Pressure and Mach Number, measured in Pressure cannot be negative.

Which unit is used to measure Ambient Pressure given Dynamic Pressure and Mach Number?

Ambient Pressure given Dynamic Pressure and Mach Number is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Ambient Pressure given Dynamic Pressure and Mach Number can be measured.

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Ambient Pressure given Dynamic Pressure and Mach Number Formula

Ambient Pressure given Dynamic Pressure and Mach Number Example

Ambient Pressure given Dynamic Pressure and Mach Number Solution

Ambient Pressure given Dynamic Pressure and Mach Number Formula Elements

Other formulas in Atmosphere and Gas Properties category

How to Evaluate Ambient Pressure given Dynamic Pressure and Mach Number?

FAQs on Ambient Pressure given Dynamic Pressure and Mach Number

Variable Name