Ambient Air Density given Mach Number and Temperature Calculator

✖Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.ⓘ Dynamic Pressure [q]			+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 [M]			+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%
✖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.ⓘ Specific Gas Constant [R]			+10% -10%
✖Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.ⓘ Static Temperature [T]			+10% -10%

✖Ambient Air Density refers to the density of the air surrounding an object or within a particular environment.ⓘ Ambient Air Density given Mach Number and Temperature [ρ]

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Ambient Air Density given Mach Number and Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)
ρ = (2*q)/(M^2*Y*R*T)
This formula uses 6 Variables

Variables Used

Ambient Air Density - (Measured in Kilogram per Cubic Meter) - Ambient Air Density refers to the density of the air surrounding an object or within a particular environment.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.
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.
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.
Specific Gas Constant - (Measured in Joule per Kilogram per K) - 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.
Static Temperature - (Measured in Kelvin) - Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Mach Number: 0.23 --> No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required
Specific Gas Constant: 4.1 Joule per Kilogram per K --> 4.1 Joule per Kilogram per K No Conversion Required
Static Temperature: 53.7 Kelvin --> 53.7 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (2*q)/(M^2*Y*R*T) --> (2*10)/(0.23^2*1.4*4.1*53.7)

Evaluating ... ...

ρ = 1.22655815846324

STEP 3: Convert Result to Output's Unit

1.22655815846324 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

1.22655815846324 ≈ 1.226558 Kilogram per Cubic Meter <-- Ambient Air Density

(Calculation completed in 00.004 seconds)

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

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Ambient Air Density given Mach Number and Temperature Formula

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Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature)
ρ = (2*q)/(M^2*Y*R*T)

What is ambient air density?

The density of air or atmospheric density, denoted ρ, is the mass per unit volume of Earth's atmosphere. Air density, like air pressure, decreases with increasing altitude. It also changes with variation in atmospheric pressure, temperature and humidity.

How to Calculate Ambient Air Density given Mach Number and Temperature?

Ambient Air Density given Mach Number and Temperature calculator uses Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature) to calculate the Ambient Air Density, Ambient Air Density given Mach Number and Temperature is a measure of the air density in the atmosphere, calculated by considering the dynamic pressure, Mach number, heat capacity ratio, gas constant and static temperature, providing a comprehensive understanding of air density under various flight conditions. Ambient Air Density is denoted by ρ symbol.

How to calculate Ambient Air Density given Mach Number and Temperature using this online calculator? To use this online calculator for Ambient Air Density given Mach Number and Temperature, enter Dynamic Pressure (q), Mach Number (M), Heat Capacity Ratio (Y), Specific Gas Constant (R) & Static Temperature (T) and hit the calculate button. Here is how the Ambient Air Density given Mach Number and Temperature calculation can be explained with given input values -> 160.6492 = (2*10)/(0.23^2*1.4*4.1*53.7).

FAQ

What is Ambient Air Density given Mach Number and Temperature?

Ambient Air Density given Mach Number and Temperature is a measure of the air density in the atmosphere, calculated by considering the dynamic pressure, Mach number, heat capacity ratio, gas constant and static temperature, providing a comprehensive understanding of air density under various flight conditions and is represented as ρ = (2*q)/(M^2*Y*R*T) or Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature). Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid, 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, 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, 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 & Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.

How to calculate Ambient Air Density given Mach Number and Temperature?

Ambient Air Density given Mach Number and Temperature is a measure of the air density in the atmosphere, calculated by considering the dynamic pressure, Mach number, heat capacity ratio, gas constant and static temperature, providing a comprehensive understanding of air density under various flight conditions is calculated using Ambient Air Density = (2*Dynamic Pressure)/(Mach Number^2*Heat Capacity Ratio*Specific Gas Constant*Static Temperature). To calculate Ambient Air Density given Mach Number and Temperature, you need Dynamic Pressure (q), Mach Number (M), Heat Capacity Ratio (Y), Specific Gas Constant (R) & Static Temperature (T). With our tool, you need to enter the respective value for Dynamic Pressure, Mach Number, Heat Capacity Ratio, Specific Gas Constant & Static Temperature 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 Ambient Air Density?

In this formula, Ambient Air Density uses Dynamic Pressure, Mach Number, Heat Capacity Ratio, Specific Gas Constant & Static Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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