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Lift Coefficient for given wing loading and turn radius Formula

GoLift Coefficient for given Turn Radius Formula

GoLift Coefficient for given Turn Rate Formula

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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. Check FAQs

C L = 2 \cdot \frac{W S}{ρ ∞ \cdot R \cdot [g]}

C_L - Lift Coefficient?W_S - Wing Loading?ρ_∞ - Freestream Density?R - Turn Radius?[g] - Gravitational acceleration on Earth?

Lift Coefficient for given wing loading and turn radius Example

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Here is how the Lift Coefficient for given wing loading and turn radius equation looks like with Values.

Here is how the Lift Coefficient for given wing loading and turn radius equation looks like with Units.

Here is how the Lift Coefficient for given wing loading and turn radius equation looks like.

0.002 = 2 \cdot \frac{354}{1.225 \cdot 29495.25 \cdot 9.8066}

0.002 = 2 \cdot \frac{354Pa}{1.225kg/m³ \cdot 29495.25m \cdot 9.8066m/s²}

0.002 = 2 \cdot \frac{354}{1.225 \cdot 29495.25 \cdot 9.8066}

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Lift Coefficient for given wing loading and turn radius Solution

Follow our step by step solution on how to calculate Lift Coefficient for given wing loading and turn radius?

FIRST Step Consider the formula

C L = 2 \cdot \frac{W S}{ρ ∞ \cdot R \cdot [g]}

Next Step Substitute values of Variables

∴

C L = 2 \cdot \frac{354Pa}{1.225kg/m³ \cdot 29495.25m \cdot [g]}

Next Step Substitute values of Constants

∴

C L = 2 \cdot \frac{354Pa}{1.225kg/m³ \cdot 29495.25m \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

C L = 2 \cdot \frac{354}{1.225 \cdot 29495.25 \cdot 9.8066}

Next Step Evaluate

∴

C L = 0.00199813308933244

LAST Step Rounding Answer

∴

C L = 0.002

Lift Coefficient for given wing loading and turn radius Formula Elements

Variables

Constants

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 should be greater than 0.

Formulas to find Lift Coefficient

Wing Loading

Wing Loading is the loaded weight of the aircraft divided by the area of the wing.

Symbol: W_S

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Wing Loading

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Turn Radius

Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Turn Radius

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 Lift Coefficient

Go Lift Coefficient for given Turn Radius

C L = \frac{W}{0.5 \cdot ρ ∞ \cdot S \cdot [g] \cdot R}

Go Lift Coefficient for given Turn Rate

C L = 2 \cdot W \cdot \frac{ω^{2}}{{[g]}^{2} \cdot ρ ∞ \cdot n \cdot S}

Other formulas in High Load Factor Maneuver category

Go Turn radius for high load factor

R = \frac{v^{2}}{[g] \cdot n}

Go Velocity given Turn Radius for High Load Factor

v = \sqrt{R \cdot n \cdot [g]}

Go Load factor for given turn radius for high-performance fighter aircraft

n = \frac{v^{2}}{[g] \cdot R}

Go Turn Rate for High Load Factor

ω = [g] \cdot \frac{n}{v}

How to Evaluate Lift Coefficient for given wing loading and turn radius?

Lift Coefficient for given wing loading and turn radius evaluator uses Lift Coefficient = 2*Wing Loading/(Freestream Density*Turn Radius*[g]) to evaluate the Lift Coefficient, The Lift Coefficient for given wing loading and turn radius formula suggests that the lift coefficient is directly proportional to the wing loading and inversely proportional to the product of freestream density, turn radius, and gravitational acceleration, it implies that for a given wing loading and turn radius, the lift coefficient required increases as the density of the air decreases (at higher altitudes). Lift Coefficient is denoted by C_L symbol.

How to evaluate Lift Coefficient for given wing loading and turn radius using this online evaluator? To use this online evaluator for Lift Coefficient for given wing loading and turn radius, enter Wing Loading (W_S), Freestream Density (ρ_∞) & Turn Radius (R) and hit the calculate button.

FAQs on Lift Coefficient for given wing loading and turn radius

What is the formula to find Lift Coefficient for given wing loading and turn radius?

The formula of Lift Coefficient for given wing loading and turn radius is expressed as Lift Coefficient = 2*Wing Loading/(Freestream Density*Turn Radius*[g]). Here is an example- 0.002015 = 2*354/(1.225*29495.25*[g]).

How to calculate Lift Coefficient for given wing loading and turn radius?

With Wing Loading (W_S), Freestream Density (ρ_∞) & Turn Radius (R) we can find Lift Coefficient for given wing loading and turn radius using the formula - Lift Coefficient = 2*Wing Loading/(Freestream Density*Turn Radius*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Lift Coefficient?

Here are the different ways to Calculate Lift Coefficient-

Lift Coefficient=Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius)
Lift Coefficient=2*Aircraft Weight*(Turn Rate^2)/([g]^2*Freestream Density*Load Factor*Reference Area)

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: Unit

Lift Coefficient for given wing loading and turn radius Formula

​GoLift Coefficient for given Turn Radius Formula

​GoLift Coefficient for given Turn Rate Formula

Lift Coefficient for given wing loading and turn radius Example

Lift Coefficient for given wing loading and turn radius Solution

Lift Coefficient for given wing loading and turn radius Formula Elements

Other Formulas to find Lift Coefficient

Other formulas in High Load Factor Maneuver category

How to Evaluate Lift Coefficient for given wing loading and turn radius?

FAQs on Lift Coefficient for given wing loading and turn radius

Variable Name

GoLift Coefficient for given Turn Radius Formula

GoLift Coefficient for given Turn Rate Formula