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Temperature given Dynamic Pressure and Mach Number Formula

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

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

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

Temperature given Dynamic Pressure and Mach Number Example

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

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

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

53.7683 = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 4.1 \cdot 1.4}

53.7683K = \frac{2 \cdot 10Pa}{1.225kg/m³ \cdot {0.23}^{2} \cdot 4.1J/(kg*K) \cdot 1.4}

53.7683 = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 4.1 \cdot 1.4}

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Temperature given Dynamic Pressure and Mach Number Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T = \frac{2 \cdot 10Pa}{1.225kg/m³ \cdot {0.23}^{2} \cdot 4.1J/(kg*K) \cdot 1.4}

Next Step Prepare to Evaluate

∴

T = \frac{2 \cdot 10}{1.225 \cdot {0.23}^{2} \cdot 4.1 \cdot 1.4}

Next Step Evaluate

∴

T = 53.7683045791642K

LAST Step Rounding Answer

∴

T = 53.7683K

Temperature given Dynamic Pressure and Mach Number Formula Elements

Variables

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

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

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

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

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

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 Temperature given Dynamic Pressure and Mach Number?

Temperature given Dynamic Pressure and Mach Number evaluator uses Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio) to evaluate the Static Temperature, Temperature Given Dynamic Pressure and Mach Number is a calculation that determines the static temperature of an object in a fluid flow, considering the dynamic pressure, Mach number, ambient air density, and other thermodynamic properties, providing a crucial value in aerodynamics and aerospace engineering. Static Temperature is denoted by T symbol.

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

FAQs on Temperature given Dynamic Pressure and Mach Number

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

The formula of Temperature given Dynamic Pressure and Mach Number is expressed as Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio). Here is an example- 53.7683 = (2*10)/(1.225*0.23^2*4.1*1.4).

How to calculate Temperature given Dynamic Pressure and Mach Number?

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

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

Yes, the Temperature given Dynamic Pressure and Mach Number, measured in Temperature can be negative.

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

Temperature given Dynamic Pressure and Mach Number is usually measured using the Kelvin[K] for Temperature. Celsius[K], Fahrenheit[K], Rankine[K] are the few other units in which Temperature given Dynamic Pressure and Mach Number can be measured.

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Temperature given Dynamic Pressure and Mach Number Formula

Temperature given Dynamic Pressure and Mach Number Example

Temperature given Dynamic Pressure and Mach Number Solution

Temperature given Dynamic Pressure and Mach Number Formula Elements

Other formulas in Atmosphere and Gas Properties category

How to Evaluate Temperature given Dynamic Pressure and Mach Number?

FAQs on Temperature given Dynamic Pressure and Mach Number

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