Projectile Motion with Lift and Drag

  • Thread starter Padj01
  • Start date
  • #1
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I need an equation to solve for the distance traveled of a projectile. The variables that I have are lift coefficient, drag coeficient, launch angle and initial velocity. Could someone please help me find the formula I need. Thank you.
 

Answers and Replies

  • #2
First, isolate the initial movement in the x and y axes. For X, use cosine multiplied by the angle, and for Y, use sine multiplied by the angle. Then, take the sum of the forces in each axis.

X=(Forward{X} movement - drag {Coefficient*normal force})

Y=(Upward{Y} movement - gravity + lift {coefficient*normal force})

Then, you can use a time-in-air formula.
 
  • #3
1,250
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Then, you can use a time-in-air formula.
You are a far ways aways from the end of the problem, at this stage it is certainly not obvious which ""time-in-air formula" you are talking about.

This is a tedious exercise in differential equations, solve these:

[tex] x'' + \frac{A}{m} x' = 0 [/tex]

[tex] y'' - \frac{L}{m} x' + g = 0 [/tex]

To get position x and y as functions of time. From here these, you can figure out how far things go (answer: find t @ y = 0 and solve for x(t).)
 

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