By: Sam, Jacob, and Wendell

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Projectile Motion with Wind and Air Resistance
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Presentation transcript:

By: Sam, Jacob, and Wendell Projectile Motion By: Sam, Jacob, and Wendell

Outline Drag (air resistance) How does air density affect trajectory How does wind affect affect trajectory Model of a cannon in 3 dimensions (java)

Recap • Shoot a projectile at a target • Time step is .01 seconds • Optimal angle 45°

How drag works Drag = cd * r * V2/2 * A Drag coefficient (cd) is a constant on earth Density of the air ( r ) changes with altitude Velocity of the cannon ball (V2) starts between 400 and 500 m/s Surface area of the cannon ball (A) is 0.04524 m2

3D plot Added Z axis Used two graphs to get 3D Wind in two directions New angle (Z) Y,X X,Z

Density change Higher altitude less density No change in density

Wind No wind on the Y axis Wind factors into drag

No wind • + wind increases drag • no wind gives the • - pushes the ball ball a natural path a graph with no wind

Results Wind has little effect on trajectory of a cannon ball Density change can make a cannon ball go farther Adding the Z axis made it much harder to hit the target

References http://www.grc.nasa.gov/WWW/K-12/airplane/falling.html http://www.nps.gov/fomc/archeology/cannon.jpg http://orgs.unt.edu/talons/rush/cannon.jpg

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