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Dynamic Pressure given Gas Constant Formula

GoDynamic Pressure given Lift Coefficient Formula

GoDynamic Pressure given Drag Coefficient Formula

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Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid. Check FAQs

q = \frac{1}{2} \cdot ρ \cdot {M r}^{2} \cdot cp \cdot R \cdot T

q - Dynamic Pressure?ρ - Ambient Air Density?M_r - Mach Number?cp - Specific Heat of Air?R - Gas Constant?T - Temperature?

Dynamic Pressure given Gas Constant Example

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Here is how the Dynamic Pressure given Gas Constant equation looks like with Values.

Here is how the Dynamic Pressure given Gas Constant equation looks like with Units.

Here is how the Dynamic Pressure given Gas Constant equation looks like.

70.5135 = \frac{1}{2} \cdot 1.225 \cdot {7.67}^{2} \cdot 0.003 \cdot 4.1 \cdot 159.1

70.5135Pa = \frac{1}{2} \cdot 1.225kg/m³ \cdot {7.67}^{2} \cdot 0.003J/(kg*K) \cdot 4.1J/(kg*K) \cdot 159.1K

70.5135 = \frac{1}{2} \cdot 1.225 \cdot {7.67}^{2} \cdot 0.003 \cdot 4.1 \cdot 159.1

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Dynamic Pressure given Gas Constant Solution

Follow our step by step solution on how to calculate Dynamic Pressure given Gas Constant?

FIRST Step Consider the formula

q = \frac{1}{2} \cdot ρ \cdot {M r}^{2} \cdot cp \cdot R \cdot T

Next Step Substitute values of Variables

∴

q = \frac{1}{2} \cdot 1.225kg/m³ \cdot {7.67}^{2} \cdot 0.003J/(kg*K) \cdot 4.1J/(kg*K) \cdot 159.1K

Next Step Prepare to Evaluate

∴

q = \frac{1}{2} \cdot 1.225 \cdot {7.67}^{2} \cdot 0.003 \cdot 4.1 \cdot 159.1

Next Step Evaluate

∴

q = 70.5134740571625Pa

LAST Step Rounding Answer

∴

q = 70.5135Pa

Dynamic Pressure given Gas Constant Formula Elements

Variables

Dynamic Pressure

Dynamic Pressure is simply a convenient name for the quantity which represents the decrease in the pressure due to the velocity of the fluid.

Symbol: q

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Dynamic Pressure

Ambient Air Density

Ambient Air Density is the mass per unit volume of Earth's atmosphere.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Ambient Air Density

Mach Number

Mach Number is a dimensionless quantity defined as ratio of speed of object to speed on sound.

Symbol: M_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Mach Number

Specific Heat of Air

Specific Heat of Air is the heat required to raise the temperature of air by one degree to that required to raise the temperature of an equal mass of water by one degree.

Symbol: cp

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value can be positive or negative.

Formulas to find Specific Heat of Air

Gas Constant

Gas Constant is a general constant in the equation of state of gases that is equal in the case of an ideal gas to product of pressure and volume of one mole divided by the absolute temperature.

Symbol: R

Measurement: Specific Heat CapacityUnit: J/(kg*K)

Note: Value should be greater than 0.

Formulas to find Gas Constant

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Other Formulas to find Dynamic Pressure

Go Dynamic Pressure given Lift Coefficient

q = \frac{F L}{C L}

Go Dynamic Pressure given Drag Coefficient

q = \frac{F D}{C D}

Go Dynamic pressure aircraft

q = \frac{1}{2} \cdot ρ \cdot {V fs}^{2}

Go Dynamic Pressure given Mach Number

q = \frac{1}{2} \cdot ρ \cdot {(M r \cdot a)}^{2}

Other formulas in Preliminary Aerodynamics category

Go Velocity at Sea-Level given Lift Coefficient

V 0 = \sqrt{\frac{2 \cdot W body}{[Std-Air-Density-Sea] \cdot S \cdot C L}}

Go Power required at sea-level conditions

P R,0 = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{[Std-Air-Density-Sea] \cdot S \cdot {C L}^{3}}}

Go Velocity at Altitude

V alt = \sqrt{2 \cdot \frac{W body}{ρ 0 \cdot S \cdot C L}}

Go Power required at Altitude

P R,alt = \sqrt{\frac{2 \cdot {W body}^{3} \cdot {C D}^{2}}{ρ 0 \cdot S \cdot {C L}^{3}}}

How to Evaluate Dynamic Pressure given Gas Constant?

Dynamic Pressure given Gas Constant evaluator uses Dynamic Pressure = 1/2*Ambient Air Density*Mach Number^2*Specific Heat of Air*Gas Constant*Temperature to evaluate the Dynamic Pressure, Dynamic Pressure given Gas Constant is a measure of the pressure exerted by the movement of a fluid, such as air, as it flows through a conduit or around an object, it is a fundamental concept in aerodynamics, where it is used to calculate the pressure exerted by air on an aircraft or other object moving through the air. Dynamic Pressure is denoted by q symbol.

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

FAQs on Dynamic Pressure given Gas Constant

What is the formula to find Dynamic Pressure given Gas Constant?

The formula of Dynamic Pressure given Gas Constant is expressed as Dynamic Pressure = 1/2*Ambient Air Density*Mach Number^2*Specific Heat of Air*Gas Constant*Temperature. Here is an example- 70.46915 = 1/2*1.225*7.67^2*0.003*4.1*159.1.

How to calculate Dynamic Pressure given Gas Constant?

With Ambient Air Density (ρ), Mach Number (M_r), Specific Heat of Air (cp), Gas Constant (R) & Temperature (T) we can find Dynamic Pressure given Gas Constant using the formula - Dynamic Pressure = 1/2*Ambient Air Density*Mach Number^2*Specific Heat of Air*Gas Constant*Temperature.

What are the other ways to Calculate Dynamic Pressure?

Here are the different ways to Calculate Dynamic Pressure-

Dynamic Pressure=Lift Force/Lift Coefficient
Dynamic Pressure=Drag Force/Drag Coefficient
Dynamic Pressure=1/2*Ambient Air Density*Flight Speed^2

Can the Dynamic Pressure given Gas Constant be negative?

No, the Dynamic Pressure given Gas Constant, measured in Pressure cannot be negative.

Which unit is used to measure Dynamic Pressure given Gas Constant?

Dynamic Pressure given Gas Constant 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 Dynamic Pressure given Gas Constant can be measured.

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: Value
: Unit

Dynamic Pressure given Gas Constant Formula

​GoDynamic Pressure given Lift Coefficient Formula

​GoDynamic Pressure given Drag Coefficient Formula

Dynamic Pressure given Gas Constant Example

Dynamic Pressure given Gas Constant Solution

Dynamic Pressure given Gas Constant Formula Elements

Other Formulas to find Dynamic Pressure

Other formulas in Preliminary Aerodynamics category

How to Evaluate Dynamic Pressure given Gas Constant?

FAQs on Dynamic Pressure given Gas Constant

Variable Name

GoDynamic Pressure given Lift Coefficient Formula

GoDynamic Pressure given Drag Coefficient Formula