Wing Loading for given Turn Radius Calculator

✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Turn Radius [R]			+10% -10%
✖Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.ⓘ Freestream Density [ρ_∞]			+10% -10%
✖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.ⓘ Lift Coefficient [C_L]			+10% -10%

✖Wing Loading is the loaded weight of the aircraft divided by the area of the wing.ⓘ Wing Loading for given Turn Radius [W_S]

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Formula

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Wing Loading for given Turn Radius

Formula

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

Example

354.3308 Pa = \frac{29495.25 m \cdot 1.225 kg/m³ \cdot 0.002 \cdot [g]}{2}

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Wing Loading for given Turn Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2
W_S = (R*ρ_∞*C_L*[g])/2
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wing Loading - (Measured in Pascal) - Wing Loading is the loaded weight of the aircraft divided by the area of the wing.
Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
Freestream Density - (Measured in Kilogram per Cubic Meter) - Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.
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.

STEP 1: Convert Input(s) to Base Unit

Turn Radius: 29495.25 Meter --> 29495.25 Meter No Conversion Required
Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Lift Coefficient: 0.002 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W_S = (R*ρ_∞*C_L*[g])/2 --> (29495.25*1.225*0.002*[g])/2

Evaluating ... ...

W_S = 354.330751930312

STEP 3: Convert Result to Output's Unit

354.330751930312 Pascal --> No Conversion Required

FINAL ANSWER

354.330751930312 ≈ 354.3308 Pascal <-- Wing Loading

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< High Load Factor Maneuver Calculators

Velocity given Turn Radius for High Load Factor

Go Velocity = sqrt(Turn Radius*Load Factor*[g])

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

Go Load Factor = (Velocity^2)/([g]*Turn Radius)

Turn radius for high load factor

Go Turn Radius = (Velocity^2)/([g]*Load Factor)

Turn Rate for High Load Factor

Go Turn Rate = [g]*Load Factor/Velocity

Wing Loading for given Turn Radius Formula

Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2
W_S = (R*ρ_∞*C_L*[g])/2

Why is wing loading important?

Wing loading is a useful measure of the stalling speed of an aircraft. Wings generate lift owing to the motion of air around the wing. Larger wings move more air, so an aircraft with a large wing area relative to its mass (i.e., low wing loading) will have a lower stalling speed.

How to Calculate Wing Loading for given Turn Radius?

Wing Loading for given Turn Radius calculator uses Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2 to calculate the Wing Loading, The Wing Loading for given Turn Radius is the amount of weight supported by the aircraft's wings per unit area, required to sustain a specific turn radius. This formula calculates wing loading based on turn radius, freestream density, lift coefficient, and gravitational acceleration. Understanding and applying this formula is essential for pilots and engineers in optimizing aircraft maneuverability and ensuring structural integrity during turns. Wing Loading is denoted by W_S symbol.

How to calculate Wing Loading for given Turn Radius using this online calculator? To use this online calculator for Wing Loading for given Turn Radius, enter Turn Radius (R), Freestream Density (ρ_∞) & Lift Coefficient (C_L) and hit the calculate button. Here is how the Wing Loading for given Turn Radius calculation can be explained with given input values -> 354.3308 = (29495.25*1.225*0.002*[g])/2.

FAQ

What is Wing Loading for given Turn Radius?

The Wing Loading for given Turn Radius is the amount of weight supported by the aircraft's wings per unit area, required to sustain a specific turn radius. This formula calculates wing loading based on turn radius, freestream density, lift coefficient, and gravitational acceleration. Understanding and applying this formula is essential for pilots and engineers in optimizing aircraft maneuverability and ensuring structural integrity during turns and is represented as W_S = (R*ρ_∞*C_L*[g])/2 or Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2. Turn Radius is the radius of the flight path causing the airplane to turn in a circular path, Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude & 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.

How to calculate Wing Loading for given Turn Radius?

The Wing Loading for given Turn Radius is the amount of weight supported by the aircraft's wings per unit area, required to sustain a specific turn radius. This formula calculates wing loading based on turn radius, freestream density, lift coefficient, and gravitational acceleration. Understanding and applying this formula is essential for pilots and engineers in optimizing aircraft maneuverability and ensuring structural integrity during turns is calculated using Wing Loading = (Turn Radius*Freestream Density*Lift Coefficient*[g])/2. To calculate Wing Loading for given Turn Radius, you need Turn Radius (R), Freestream Density (ρ_∞) & Lift Coefficient (C_L). With our tool, you need to enter the respective value for Turn Radius, Freestream Density & Lift Coefficient and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wing Loading?

In this formula, Wing Loading uses Turn Radius, Freestream Density & Lift Coefficient. We can use 1 other way(s) to calculate the same, which is/are as follows -

Wing Loading = ([g]^2)*Freestream Density*Lift Coefficient*Load Factor/(2*(Turn Rate^2))

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