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Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Formula

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Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack. Check FAQs

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

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

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Example

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Here is how the Maximum Attainable Lift Coefficient given Vehicle Stalling Speed equation looks like with Values.

Here is how the Maximum Attainable Lift Coefficient given Vehicle Stalling Speed equation looks like with Units.

Here is how the Maximum Attainable Lift Coefficient given Vehicle Stalling Speed equation looks like.

0.4906 = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 23 \cdot 268^{2}}

0.4906 = 2 \cdot 50000kg \cdot \frac{9.8066m/s²}{1.21kg/m³ \cdot 23m² \cdot {268km/h}^{2}}

0.4906 = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 23 \cdot 268^{2}}

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Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Solution

Follow our step by step solution on how to calculate Maximum Attainable Lift Coefficient given Vehicle Stalling Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C L,max = 2 \cdot 50000kg \cdot \frac{[g]}{1.21kg/m³ \cdot 23m² \cdot {268km/h}^{2}}

Next Step Substitute values of Constants

∴

C L,max = 2 \cdot 50000kg \cdot \frac{9.8066m/s²}{1.21kg/m³ \cdot 23m² \cdot {268km/h}^{2}}

Next Step Prepare to Evaluate

∴

C L,max = 2 \cdot 50000 \cdot \frac{9.8066}{1.21 \cdot 23 \cdot 268^{2}}

Next Step Evaluate

∴

C L,max = 0.490611677669061

LAST Step Rounding Answer

∴

C L,max = 0.4906

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Formula Elements

Variables

Constants

Maximum Lift Coefficient

Maximum Lift Coefficient is defined as the lift coefficient of the airfoil at stalling angle of attack.

Symbol: C_L,max

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Maximum Lift Coefficient

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

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

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 in Aircraft Gross Wing category

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 Speed under Steady Flight Conditions

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

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 Aircraft Gross Wing Area given Vehicle Stalling Speed

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

How to Evaluate Maximum Attainable Lift Coefficient given Vehicle Stalling Speed?

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed evaluator uses Maximum Lift Coefficient = 2*Mass Aircraft*[g]/(Density Altitude for flying*Aircraft Gross Wing Area*Vehicle Speed^2) to evaluate the Maximum Lift Coefficient, The Maximum Attainable Lift Coefficient given Vehicle Stalling Speed is the maximum number that aerodynamicists use to model all of the complex dependencies of shape, inclination, and some flow conditions on the lift. Maximum Lift Coefficient is denoted by C_L,max symbol.

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

FAQs on Maximum Attainable Lift Coefficient given Vehicle Stalling Speed

What is the formula to find Maximum Attainable Lift Coefficient given Vehicle Stalling Speed?

The formula of Maximum Attainable Lift Coefficient given Vehicle Stalling Speed is expressed as Maximum Lift Coefficient = 2*Mass Aircraft*[g]/(Density Altitude for flying*Aircraft Gross Wing Area*Vehicle Speed^2). Here is an example- 0.490612 = 2*50000*[g]/(1.21*23*74.4444444444444^2).

How to calculate Maximum Attainable Lift Coefficient given Vehicle Stalling Speed?

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

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Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Formula

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Example

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Solution

Maximum Attainable Lift Coefficient given Vehicle Stalling Speed Formula Elements

Other formulas in Aircraft Gross Wing category

How to Evaluate Maximum Attainable Lift Coefficient given Vehicle Stalling Speed?

FAQs on Maximum Attainable Lift Coefficient given Vehicle Stalling Speed

Variable Name