Projectile motion with drag and lift

[Simms16]

I obtained lift and drag forces for an object I was testing in a wind tunnel and I wanted to know if it was possible to do a projectile motion problem with the following variables;
I know the initial velocity of the object, V=76m/s, the possible launch angles = 30, 45, or 60 degrees, and gravity = 9.81m/s^2.

-I also have tabulated data of the lift and drag forces on the object at 3 different wind speeds (80, 130, 170 mph) while varying the angle of attack (AOA) from -10 to 30 degrees.
I took the three drag values at 0 degrees AOA and found a linear relationship between the wind speed and drag values. I used that relationship and subtracted drag off of the ideal equations of distance and height of projectile motion and the values I got don't make sense. Is there another way I can do this or am I missing some important information to solve this problem

 

[ank_gl]

Ideal case#
Ax = 0
Ay = -g

Practical Case#
Ax = -Drag/mass
Drag = -Cd.(Area.rho.V^2)/2

Ay = -g + lift/mass
Lift = -Cl.(Area.rho.V^2)/2

You have the data, calculate Cl & Cd at the data points, interpolate to get Cl & Cd in terms of V, integrate twice the acceleration term to get the distance.

Note: The actual & calculated value still won't match. Can you guess why?

 

[oswaler]

I would first commend you for conducting a thorough experiment and gathering data on the lift and drag forces of your object in a wind tunnel. This information is crucial in understanding the behavior of the object in projectile motion.

In order to accurately calculate the trajectory of an object in projectile motion with drag and lift forces, you will need to consider the following factors: initial velocity, launch angle, gravity, and the lift and drag forces acting on the object. It seems that you have all of these variables except for the angle of attack (AOA) at different wind speeds. This information is important because the lift and drag forces will vary depending on the AOA and wind speed.

Additionally, it is important to note that the equations for projectile motion assume a constant drag force, which may not be the case in your experiment as you have found a linear relationship between wind speed and drag. This means that your drag force will change as the wind speed changes, and this may affect the trajectory of the object.

One way to approach this problem would be to use the tabulated data of lift and drag forces at different wind speeds and angles of attack to create a model that takes into account the changing drag force. This model can then be used to calculate the trajectory of the object at different launch angles and wind speeds.

In conclusion, to accurately solve this problem, you will need to consider the angle of attack at different wind speeds and develop a model that takes into account the changing drag force. I suggest further experimentation to gather more data on the AOA and wind speed relationship, which will help in creating a more accurate model for your object's trajectory.