Watch this movie if you haven’t already: Team 358 Shooter (as of Jan 16, 2006)
AND CLICK ON IMAGES BELOW TO ENLARGE AND READ THEM.
Math and physics is cool. Make me happy by at least attempting to be interested in figuring this out theoretically?
If you back out what Team 358 did, here is what you get:
CIM mini-bike motors give you an angular speed of 2700 RPM which equates to a tip speed of 14 m/s (As a comparison, your prototype with the transmission gave you an angular speed of 423 RPM which equates to a tip speed of 2 m/s - that's why it didn't go anywhere). Since the maximum speed allowed for balls leaving the field is 12 m/s, even with losses, this motor has a high enough torque in the range of output speeds that we need to be appropriate (please see excel spreadsheet below – as derived from Sophia’s motorspecs.xls).
Then you crank it through the projectile motion equations and you learn that, well, at 12 m/s, you can shoot the ball from 2.5 feet off the ground at a 30 degree angle, from 21 feet away (that’s pretty much 6 feet away from the center line (remember the field is 54’ by 26’), you will get it through the hoop, smack center. That’s if you have a clear line of sight.
Let me repeat: YOU WILL GET THE BALL THROUGH THE HOOP WITH THESE PARAMETERS
v_output = 12 m/s = 39 feet / s
height of muzzle = 2.5 feet
angle of muzzle = 30 degrees
horizontal distance from goal = 21 feet
See equations below:
Yes, this is no joke. Again, it's very clear that it is a solid solution that the veteran teams have already proven out. Let’s put our efforts into building a solid, accurate, robust shooter. There will be lots of accurate shooters this year. Let’s figure this one out.