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Radius of Turn for given Wing Loading Formula

GoTurn radius for high load factor Formula

GoRadius of Turn for given Lift Coefficient Formula

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

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

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

Radius of Turn for given Wing Loading Example

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Here is how the Radius of Turn for given Wing Loading equation looks like with Values.

Here is how the Radius of Turn for given Wing Loading equation looks like with Units.

Here is how the Radius of Turn for given Wing Loading equation looks like.

29467.7175 = 2 \cdot \frac{354}{1.225 \cdot 0.002 \cdot 9.8066}

29467.7175m = 2 \cdot \frac{354Pa}{1.225kg/m³ \cdot 0.002 \cdot 9.8066m/s²}

29467.7175 = 2 \cdot \frac{354}{1.225 \cdot 0.002 \cdot 9.8066}

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Radius of Turn for given Wing Loading Solution

Follow our step by step solution on how to calculate Radius of Turn for given Wing Loading?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R = 2 \cdot \frac{354Pa}{1.225kg/m³ \cdot 0.002 \cdot [g]}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R = 29467.7175015663m

LAST Step Rounding Answer

∴

R = 29467.7175m

Radius of Turn for given Wing Loading Formula Elements

Variables

Constants

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

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

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

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 Turn Radius

Go Turn radius for high load factor

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

Go Radius of Turn for given Lift Coefficient

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

Other formulas in High Load Factor Maneuver category

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}

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

n = v \cdot \frac{ω}{[g]}

How to Evaluate Radius of Turn for given Wing Loading?

Radius of Turn for given Wing Loading evaluator uses Turn Radius = 2*Wing Loading/(Freestream Density*Lift Coefficient*[g]) to evaluate the Turn Radius, Radius of Turn for given Wing Loading formula is defined as a measure of the turning radius of an aircraft based on its wing loading, air density, lift coefficient, and gravitational acceleration during high load factor maneuvers. Turn Radius is denoted by R symbol.

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

FAQs on Radius of Turn for given Wing Loading

What is the formula to find Radius of Turn for given Wing Loading?

The formula of Radius of Turn for given Wing Loading is expressed as Turn Radius = 2*Wing Loading/(Freestream Density*Lift Coefficient*[g]). Here is an example- 29717.44 = 2*354/(1.225*0.002*[g]).

How to calculate Radius of Turn for given Wing Loading?

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

What are the other ways to Calculate Turn Radius?

Here are the different ways to Calculate Turn Radius-

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

Can the Radius of Turn for given Wing Loading be negative?

No, the Radius of Turn for given Wing Loading, measured in Length cannot be negative.

Which unit is used to measure Radius of Turn for given Wing Loading?

Radius of Turn for given Wing Loading is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Turn for given Wing Loading can be measured.

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Radius of Turn for given Wing Loading Formula

​GoTurn radius for high load factor Formula

​GoRadius of Turn for given Lift Coefficient Formula

Radius of Turn for given Wing Loading Example

Radius of Turn for given Wing Loading Solution

Radius of Turn for given Wing Loading Formula Elements

Other Formulas to find Turn Radius

Other formulas in High Load Factor Maneuver category

How to Evaluate Radius of Turn for given Wing Loading?

FAQs on Radius of Turn for given Wing Loading

Variable Name

GoTurn radius for high load factor Formula

GoRadius of Turn for given Lift Coefficient Formula