Lift Coefficient for given Turn Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius)
CL = W/(0.5*ρ*S*[g]*R)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
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.
Aircraft Weight - (Measured in Newton) - Aircraft Weight is the total aircraft weight at any moment during the flight or ground operation.
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.
Reference Area - (Measured in Square Meter) - 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.
Turn Radius - (Measured in Meter) - Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
STEP 1: Convert Input(s) to Base Unit
Aircraft Weight: 1800 Newton --> 1800 Newton No Conversion Required
Freestream Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Reference Area: 5.08 Square Meter --> 5.08 Square Meter No Conversion Required
Turn Radius: 29495.25 Meter --> 29495.25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CL = W/(0.5*ρ*S*[g]*R) --> 1800/(0.5*1.225*5.08*[g]*29495.25)
Evaluating ... ...
CL = 0.00199999975577115
STEP 3: Convert Result to Output's Unit
0.00199999975577115 --> No Conversion Required
FINAL ANSWER
0.00199999975577115 0.002 <-- Lift Coefficient
(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra
Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune
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Lift Coefficient for given Turn Radius Formula

Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius)
CL = W/(0.5*ρ*S*[g]*R)

What is a coordinated flight?

In aviation, a coordinated flight of an aircraft is flight without sideslip. When an aircraft is flying with zero sideslip a turn and bank indicator installed on the aircraft's instrument panel usually shows the ball in the centre of the spirit level.

How to Calculate Lift Coefficient for given Turn Radius?

Lift Coefficient for given Turn Radius calculator uses Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius) to calculate 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 CL symbol.

How to calculate Lift Coefficient for given Turn Radius using this online calculator? To use this online calculator for Lift Coefficient for given Turn Radius, enter Aircraft Weight (W), Freestream Density ), Reference Area (S) & Turn Radius (R) and hit the calculate button. Here is how the Lift Coefficient for given Turn Radius calculation can be explained with given input values -> 0.196635 = 1800/(0.5*1.225*5.08*[g]*29495.25).

FAQ

What is Lift Coefficient for given Turn Radius?
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 and is represented as CL = W/(0.5*ρ*S*[g]*R) or Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius). Aircraft Weight is the total aircraft weight at any moment during the flight or ground operation, Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude, 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 & Turn Radius is the radius of the flight path causing the airplane to turn in a circular path.
How to calculate Lift Coefficient for given Turn Radius?
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 is calculated using Lift Coefficient = Aircraft Weight/(0.5*Freestream Density*Reference Area*[g]*Turn Radius). To calculate Lift Coefficient for given Turn Radius, you need Aircraft Weight (W), Freestream Density ), Reference Area (S) & Turn Radius (R). With our tool, you need to enter the respective value for Aircraft Weight, Freestream Density, Reference Area & Turn Radius 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 Lift Coefficient?
In this formula, Lift Coefficient uses Aircraft Weight, Freestream Density, Reference Area & Turn Radius. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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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