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

✖Static Temperature refers to the temperature of a fluid (such as air or a gas) that is not in motion.ⓘ Temperature given Dynamic Pressure and Mach Number [T]

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Temperature given Dynamic Pressure and Mach Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Dynamic Pressure - (Measured in Pascal) - Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Dynamic Pressure: 10 Pascal --> 10 Pascal No Conversion Required
Ambient Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Mach Number: 0.23 --> No Conversion Required
Specific Gas Constant: 4.1 Joule per Kilogram per K --> 4.1 Joule per Kilogram per K No Conversion Required
Heat Capacity Ratio: 1.4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (2*q)/(ρ*M^2*R*Y) --> (2*10)/(1.225*0.23^2*4.1*1.4)

Evaluating ... ...

T = 53.7683045791642

STEP 3: Convert Result to Output's Unit

53.7683045791642 Kelvin --> No Conversion Required

FINAL ANSWER

53.7683045791642 ≈ 53.7683 Kelvin <-- Static Temperature

(Calculation completed in 00.020 seconds)

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Temperature given Dynamic Pressure and Mach Number Formula

LaTeX Go

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

What is specific heat of air?

Specific heat, the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The units of specific heat are usually calories or joules per gram per Celsius degree.

How to Calculate Temperature given Dynamic Pressure and Mach Number?

Temperature given Dynamic Pressure and Mach Number calculator uses Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio) to calculate 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 calculate Temperature given Dynamic Pressure and Mach Number using this online calculator? To use this online calculator 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. Here is how the Temperature given Dynamic Pressure and Mach Number calculation can be explained with given input values -> 53.7683 = (2*10)/(1.225*0.23^2*4.1*1.4).

FAQ

What is Temperature given Dynamic Pressure and Mach Number?

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 and is represented as T = (2*q)/(ρ*M^2*R*Y) or Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio). Dynamic Pressure, denoted as q, is a measure of the kinetic energy per unit volume of a flowing fluid, Ambient Air Density refers to the density of the air surrounding an object or within a particular environment, 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, 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 & 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.

How to calculate Temperature given Dynamic Pressure and Mach Number?

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 is calculated using Static Temperature = (2*Dynamic Pressure)/(Ambient Air Density*Mach Number^2*Specific Gas Constant*Heat Capacity Ratio). To calculate Temperature given Dynamic Pressure and Mach Number, you need Dynamic Pressure (q), Ambient Air Density (ρ), Mach Number (M), Specific Gas Constant (R) & Heat Capacity Ratio (Y). With our tool, you need to enter the respective value for Dynamic Pressure, Ambient Air Density, Mach Number, Specific Gas Constant & Heat Capacity Ratio and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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