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Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Formula

GoAircraft Gross Wing Area for Lifting Force Provided by Wing Body of Vehicle Formula

GoAircraft Gross Wing Area given Vehicle Stalling Speed Formula

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Aircraft Gross Wing Area calculated by looking at the wing from a top-down view and measuring the area of the wing. Check FAQs

S = 2 \cdot M Aircraft \cdot \frac{[g]}{ρ \cdot C l \cdot V^{2}}

S - Aircraft Gross Wing Area?M_Aircraft - Mass Aircraft?ρ - Density Altitude for flying?C_l - Lift Coefficient?V - Vehicle Speed?[g] - Gravitational acceleration on Earth?

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Example

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Here is how the Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions equation looks like with Values.

Here is how the Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions equation looks like with Units.

Here is how the Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions equation looks like.

11284.0686 = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 0.001 \cdot 268^{2}}

11284.0686m² = 2 \cdot 50000kg \cdot \frac{9.8066m/s²}{1.21kg/m³ \cdot 0.001 \cdot {268km/h}^{2}}

11284.0686 = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 0.001 \cdot 268^{2}}

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Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Solution

Follow our step by step solution on how to calculate Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

FIRST Step Consider the formula

S = 2 \cdot M Aircraft \cdot \frac{[g]}{ρ \cdot C l \cdot V^{2}}

Next Step Substitute values of Variables

∴

S = 2 \cdot 50000kg \cdot \frac{[g]}{1.21kg/m³ \cdot 0.001 \cdot {268km/h}^{2}}

Next Step Substitute values of Constants

∴

S = 2 \cdot 50000kg \cdot \frac{9.8066m/s²}{1.21kg/m³ \cdot 0.001 \cdot {268km/h}^{2}}

Next Step Prepare to Evaluate

∴

S = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 0.001 \cdot 268^{2}}

Next Step Evaluate

∴

S = 11284.0685863884m²

LAST Step Rounding Answer

∴

S = 11284.0686m²

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Formula Elements

Variables

Constants

Aircraft Gross Wing Area

Aircraft Gross Wing Area calculated by looking at the wing from a top-down view and measuring the area of the wing.

Symbol: S

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Aircraft Gross Wing Area

Mass Aircraft

Mass Aircraft is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M_Aircraft

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Formulas to find Mass Aircraft

Density Altitude for flying

Density Altitude for flying is a representation of the amount of mass of a substance, material or object in relation to the space it occupies at an altitude.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density Altitude for flying

Lift Coefficient

The Lift Coefficient is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.

Symbol: C_l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Lift Coefficient

Vehicle Speed

Vehicle Speed (True Air Speed) of an aircraft is the speed of aircraft relative to air mass through which it is flying. The true airspeed is important information for accurate navigation of aircraft.

Symbol: V

Measurement: SpeedUnit: km/h

Note: Value can be positive or negative.

Formulas to find Vehicle Speed

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Aircraft Gross Wing Area

Go Aircraft Gross Wing Area for Lifting Force Provided by Wing Body of Vehicle

S = \frac{L Aircraft}{0.5 \cdot ρ \cdot V^{2} \cdot C l}

Go Aircraft Gross Wing Area given Vehicle Stalling Speed

S = 2 \cdot M Aircraft \cdot \frac{[g]}{V^{2} \cdot ρ \cdot C L,max}

Other formulas in Aircraft Gross Wing category

Go Vehicle Stalling Speed given Maximum Attainable Lift Coefficient

V = \sqrt{\frac{2 \cdot M Aircraft \cdot [g]}{ρ \cdot S \cdot C L,max}}

Go Maximum Attainable Lift Coefficient given Vehicle Stalling Speed

C L,max = 2 \cdot M Aircraft \cdot \frac{[g]}{ρ \cdot S \cdot V^{2}}

How to Evaluate Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions evaluator uses Aircraft Gross Wing Area = 2*Mass Aircraft*[g]/(Density Altitude for flying*Lift Coefficient*Vehicle Speed^2) to evaluate the Aircraft Gross Wing Area, The Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions is the surface area of a wing and is calculated by looking at the wing from a top-down view and measuring the area of the wing. This surface area is also known as the planform area. Aircraft Gross Wing Area is denoted by S symbol.

How to evaluate Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions using this online evaluator? To use this online evaluator for Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions, enter Mass Aircraft (M_Aircraft), Density Altitude for flying (ρ), Lift Coefficient (C_l) & Vehicle Speed (V) and hit the calculate button.

FAQs on Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions

What is the formula to find Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

The formula of Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions is expressed as Aircraft Gross Wing Area = 2*Mass Aircraft*[g]/(Density Altitude for flying*Lift Coefficient*Vehicle Speed^2). Here is an example- 11284.07 = 2*50000*[g]/(1.21*0.001*74.4444444444444^2).

How to calculate Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

With Mass Aircraft (M_Aircraft), Density Altitude for flying (ρ), Lift Coefficient (C_l) & Vehicle Speed (V) we can find Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions using the formula - Aircraft Gross Wing Area = 2*Mass Aircraft*[g]/(Density Altitude for flying*Lift Coefficient*Vehicle Speed^2). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Aircraft Gross Wing Area?

Here are the different ways to Calculate Aircraft Gross Wing Area-

Aircraft Gross Wing Area=Lifting Force of Aircraft/(0.5*Density Altitude for flying*Vehicle Speed^2*Lift Coefficient)
Aircraft Gross Wing Area=2*Mass Aircraft*[g]/(Vehicle Speed^2*Density Altitude for flying*Maximum Lift Coefficient)

Can the Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions be negative?

Yes, the Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions, measured in Area can be negative.

Which unit is used to measure Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions can be measured.

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: Unit

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Formula

​GoAircraft Gross Wing Area for Lifting Force Provided by Wing Body of Vehicle Formula

​GoAircraft Gross Wing Area given Vehicle Stalling Speed Formula

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Example

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Solution

Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions Formula Elements

Other Formulas to find Aircraft Gross Wing Area

Other formulas in Aircraft Gross Wing category

How to Evaluate Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions?

FAQs on Aircraft Gross Wing Area given Vehicle Speed under Steady Flight Conditions

Variable Name

GoAircraft Gross Wing Area for Lifting Force Provided by Wing Body of Vehicle Formula

GoAircraft Gross Wing Area given Vehicle Stalling Speed Formula