Projectile motion with drag and lift

[Simms16]

Homework Statement

Using a wind tunnel, I recorded lift and drag forces on an object and now I want to estimate where the object will land based on these forces. When I took the data from the wind tunnel, I changed the angle of attack at 2 degree increments from -10 to 30 degrees. This was done at 3 different wind speeds (80, 123, and 170 mph). I looked at 0 angle of attack at each of those speeds and created a linear relationship between the wind speed and drag force. I am using that relationship for generating the drag forces used in the equation. I know the initial velocity of the object is 76 m/s, the angles it will be launched at will be either 30, 45 or 60 degrees, and gravity will be 9.81 m/s^2. The goal is to see how drag will affect the object then how will adding lift will affect the object's flight?

Homework Equations

Vox = V*cos(theta), Voy = V*sin(theta), Dy = Voy*t + 0.5*ay*t^2, Dx = Vox*t
Vox = initial x velocity, Voy = initial y velocity, Dy = distance in y, Dx = distance in x
Fd = force of drag, Fl = force of lift

The Attempt at a Solution

I used an excel spreadsheet to do this problem where I tried to subtract the force of drag from the vertical and horizontal components of projectile motion and it seemed not to work. Any ideas where I can be going wrong?

 

[Jhero]

it is important to carefully analyze and interpret your data to ensure accurate results. In this case, it seems that you may be experiencing difficulties with your calculations. Here are some suggestions that may help you troubleshoot the issue:

1. Check your equations: It is important to double check that you are using the correct equations for calculating the horizontal and vertical components of the object's motion. Make sure that you are using the correct values for initial velocity, angle of launch, and acceleration due to gravity.

2. Consider the effects of air resistance: The force of drag is an important factor to consider in this scenario. It is possible that the drag force is significantly impacting the object's motion and therefore needs to be incorporated into your equations. You may need to use a more complex equation that takes into account the drag force, such as the drag equation.

3. Use a numerical approach: Instead of relying on a linear relationship between wind speed and drag force, you may want to consider using a numerical approach to calculate the drag force. This can be done by using the recorded data from the wind tunnel and plugging it into the appropriate equation for calculating drag force.

4. Check for errors in your data: It is always important to double check your data for any errors or inconsistencies. Make sure that the data you are using is accurate and reliable.

5. Consider other factors: In addition to drag force, there may be other factors that could affect the object's motion, such as air density or the shape of the object. Make sure to consider all relevant factors when analyzing your data.

I hope these suggestions help you in your calculations. Remember to carefully review your equations and data to ensure that your results are accurate and reliable. Good luck with your project!