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Lift Coefficient for given Turn Radius Formula

GoLift Coefficient for given Turn Rate Formula

GoLift Coefficient for given wing loading and turn radius 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 = \frac{W}{0.5 \cdot ρ ∞ \cdot S \cdot [g] \cdot R}

C_L - Lift Coefficient?W - Aircraft Weight?ρ_∞ - Freestream Density?S - Reference Area?R - Turn Radius?[g] - Gravitational acceleration on Earth?

Lift Coefficient for given Turn Radius Example

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Here is how the Lift Coefficient for given Turn Radius equation looks like with Values.

Here is how the Lift Coefficient for given Turn Radius equation looks like with Units.

Here is how the Lift Coefficient for given Turn Radius equation looks like.

0.002 = \frac{1800}{0.5 \cdot 1.225 \cdot 5.08 \cdot 9.8066 \cdot 29495.25}

0.002 = \frac{1800N}{0.5 \cdot 1.225kg/m³ \cdot 5.08m² \cdot 9.8066m/s² \cdot 29495.25m}

0.002 = \frac{1800}{0.5 \cdot 1.225 \cdot 5.08 \cdot 9.8066 \cdot 29495.25}

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Lift Coefficient for given Turn Radius Solution

Follow our step by step solution on how to calculate Lift Coefficient for given Turn Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C L = \frac{1800N}{0.5 \cdot 1.225kg/m³ \cdot 5.08m² \cdot [g] \cdot 29495.25m}

Next Step Substitute values of Constants

∴

C L = \frac{1800N}{0.5 \cdot 1.225kg/m³ \cdot 5.08m² \cdot 9.8066m/s² \cdot 29495.25m}

Next Step Prepare to Evaluate

∴

C L = \frac{1800}{0.5 \cdot 1.225 \cdot 5.08 \cdot 9.8066 \cdot 29495.25}

Next Step Evaluate

∴

C L = 0.00199999975577115

LAST Step Rounding Answer

∴

C L = 0.002

Lift Coefficient for given 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

Aircraft Weight

Aircraft Weight is the total aircraft weight at any moment during the flight or ground operation.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Aircraft Weight

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

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

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 Rate

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

Go Lift Coefficient for given wing loading and turn radius

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

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 Turn Radius?

Lift Coefficient for given Turn Radius evaluator uses Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius) to evaluate the Lift Coefficient, The Lift Coefficient for given turn radius is a dimensionless quantity that describes the lift generated by an airfoil or a body moving through a fluid, typically air, this equation shows how the lift coefficient is influenced by these factors in the context of a turning aircraft. Lift Coefficient is denoted by C_L symbol.

How to evaluate Lift Coefficient for given Turn Radius using this online evaluator? To use this online evaluator for Lift Coefficient for given Turn Radius, enter Aircraft Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Turn Radius (R) and hit the calculate button.

FAQs on Lift Coefficient for given Turn Radius

What is the formula to find Lift Coefficient for given Turn Radius?

The formula of Lift Coefficient for given Turn Radius is expressed as Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius). Here is an example- 0.196635 = 1800/(0.5*1.225*5.08*[g]*29495.25).

How to calculate Lift Coefficient for given Turn Radius?

With Aircraft Weight (W), Freestream Density (ρ_∞), Reference Area (S) & Turn Radius (R) we can find Lift Coefficient for given Turn Radius using the formula - Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius). 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=2*Aircraft Weight*(Turn Rate^2)/([g]^2*Freestream Density*Load Factor*Reference Area)
Lift Coefficient=2*Wing Loading/(Freestream Density*Turn Radius*[g])

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: Unit

Lift Coefficient for given Turn Radius Formula

​GoLift Coefficient for given Turn Rate Formula

​GoLift Coefficient for given wing loading and turn radius Formula

Lift Coefficient for given Turn Radius Example

Lift Coefficient for given Turn Radius Solution

Lift Coefficient for given 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 Turn Radius?

FAQs on Lift Coefficient for given Turn Radius

Variable Name

GoLift Coefficient for given Turn Rate Formula

GoLift Coefficient for given wing loading and turn radius Formula