Radius of Turn for given Wing Loading Calculator

✖Wing Loading is the loaded weight of the aircraft divided by the area of the wing.ⓘ Wing Loading [W_S]			+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%

✖Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.ⓘ Radius of Turn for given Wing Loading [R]

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Radius of Turn for given Wing Loading Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
Wing Loading - (Measured in Pascal) - Wing Loading is the loaded weight of the aircraft divided by the area of the wing.
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

Wing Loading: 354 Pascal --> 354 Pascal 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

R = 2*W_S/(ρ_∞*C_L*[g]) --> 2*354/(1.225*0.002*[g])

Evaluating ... ...

R = 29467.7175015663

STEP 3: Convert Result to Output's Unit

29467.7175015663 Meter --> No Conversion Required

FINAL ANSWER

29467.7175015663 ≈ 29467.72 Meter <-- Turn Radius

(Calculation completed in 00.020 seconds)

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Created by Vinay Mishra

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

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Indian Institute of Technology (IIT), Bombay

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< High Load Factor Maneuver Calculators

Velocity given Turn Radius for High Load Factor

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

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

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

Turn radius for high load factor

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

Turn Rate for High Load Factor

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

Radius of Turn for given Wing Loading Formula

LaTeX Go

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

How do you calculate wing area?

In aerodynamics, the surface area of a wing is calculated by looking at the wing from a top-down view and measuring the wing area. This surface area is also known as the planform area. The planform area is a significant value when calculating the performance of an aeroplane.

How to Calculate Radius of Turn for given Wing Loading?

Radius of Turn for given Wing Loading calculator uses Turn Radius = 2*Wing Loading/(Freestream Density*Lift Coefficient*[g]) to calculate the Turn Radius, The Radius of Turn for given Wing Loading represents the radius of the turn, which is the distance from the center of the turn to the path followed by the aircraft, this formula calculates the turn radius using wing loading, which is the total weight of the aircraft divided by the wing area. Turn Radius is denoted by R symbol.

How to calculate Radius of Turn for given Wing Loading using this online calculator? To use this online calculator 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. Here is how the Radius of Turn for given Wing Loading calculation can be explained with given input values -> 29717.44 = 2*354/(1.225*0.002*[g]).

FAQ

What is Radius of Turn for given Wing Loading?

The Radius of Turn for given Wing Loading represents the radius of the turn, which is the distance from the center of the turn to the path followed by the aircraft, this formula calculates the turn radius using wing loading, which is the total weight of the aircraft divided by the wing area and is represented as R = 2*W_S/(ρ_∞*C_L*[g]) or Turn Radius = 2*Wing Loading/(Freestream Density*Lift Coefficient*[g]). Wing Loading is the loaded weight of the aircraft divided by the area of the wing, 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 Radius of Turn for given Wing Loading?

The Radius of Turn for given Wing Loading represents the radius of the turn, which is the distance from the center of the turn to the path followed by the aircraft, this formula calculates the turn radius using wing loading, which is the total weight of the aircraft divided by the wing area is calculated using Turn Radius = 2*Wing Loading/(Freestream Density*Lift Coefficient*[g]). To calculate Radius of Turn for given Wing Loading, you need Wing Loading (W_S), Freestream Density (ρ_∞) & Lift Coefficient (C_L). With our tool, you need to enter the respective value for Wing Loading, 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 Turn Radius?

In this formula, Turn Radius uses Wing Loading, Freestream Density & Lift Coefficient. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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