Calculating Aircraft Lift Capacity: Understanding the Equation

In summary: The lift will also vary with the spanwise distribution of the airspeed.In summary, the conversation discusses the equation for determining lift produced by an aircraft and how to calculate the maximum lift capacity for a specific type of plane. It is mentioned that the lift on the wing will change with different factors such as angle of attack and altitude, and that experiments need to be done to determine the equation relating these factors. The conversation also brings up the idea that the fuselage and tail can also contribute to lift, and the importance of considering the sum of all lifting forces. It is noted that the CL max and angle of attack must be taken into account when calculating lift, and that the lift will also vary with the distribution of airspeed.
  • #1
AaronWeber
2
0
This is a simple question hopefully.

The equation for determining lift produced by an aircraft is the following if I am correct:
L = (1/2) d v2 s CL

If I was designing an aircraft that would maintain flight at standard air pressure at 1000 feet .002308 ISA at 130 MPH with a wing area of 60 Sq Ft. and a Coefficient of lift of 1, then I would plug the numbers in accordingly..
(.5)*(.002308)*(130^2)*(60)*(1) = 1170
Would this mean that the maximum lift capacity for this type of plane be 1170 lbs, or am I way off base here?
 
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  • #2
What you calculated is the lift force on the wing at those conditions. You don't know that it's the maximum achieveable by the profile of the wing. The lift on the wing will change with angle of attack and altitude, and it isn't neccessarily max at 0 degrees.

The equation relating these is complex, you'd have to do experiments to find out. I've done it using a wind tunnel and CFD simulations.
 
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  • #3
Also your velocity should be in ft/s rather than mph so your units cancel appropriately.
 
  • #4
yes.. keep the units straight...

the above formula is good for approximations...

but keep in mind.. the fuselage can create lift.. as well as the tail.. (Lift downward actually)...
so the sum of all lifting forces need to be considered...
as well as a particular wings Cl max...
 
  • #5
Think of:

1. The actual 3D wing will have a CL max, depending of the shape of a 2D section or profile and on the shape tec. of the actual wing.
2. The Lift generated depends on the angle of attack and thus the CL. So what angle of attack do you consider?
3.
 

FAQ: Calculating Aircraft Lift Capacity: Understanding the Equation

What is the equation for calculating aircraft lift capacity?

The equation for calculating aircraft lift capacity is Lift = Coefficient of Lift x Air Density x Velocity^2 x Wing Area.

What is the Coefficient of Lift?

The Coefficient of Lift is a dimensionless number that represents the efficiency of a wing at producing lift. It is dependent on the shape and angle of the wing, and can vary based on factors such as airspeed and air density.

How does air density affect aircraft lift capacity?

Air density plays a crucial role in aircraft lift capacity because it affects the amount of air that flows over the wing and the pressure differential between the top and bottom of the wing. Higher air density results in a greater lift capacity.

What is the relationship between airspeed and aircraft lift capacity?

Airspeed is directly proportional to aircraft lift capacity. This means that as airspeed increases, the lift capacity also increases. This is because a higher airspeed results in a greater amount of air flowing over the wing, creating more lift.

How does wing area impact aircraft lift capacity?

Wing area also plays a significant role in determining aircraft lift capacity. A larger wing area means more surface area for air to flow over, resulting in a greater lift capacity. This is why aircraft with larger wings, such as commercial airliners, are able to carry more weight than smaller aircraft with smaller wings.

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