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I've calculated the physics for it. There are multiple ways of getting the speed needed. A 12 inch pneumatic with a 2 inch bore is easily enough to launch them 15 feet. My physics(well natures but hmph) called for a 1 foot arc that applies 90 pounds of force to the throwing arm in .06 seconds. My robot design uses a slightly different design but the physics works out that even a 6 inch in length pneumatic would provide more than twice the power needed to throw a crate 30 feet. I added in a feature that while you swing the crate(s) you extend your throwing mechanism. That lowers the force requried to get the speed up. Also using the battery to act as a counter weight on a seesaw like device was also thought of. I don't know if the first judges would allow that idea though. (using a 1 foot bar with the 20 pound battery allows you only need to use a 6 inch pneumatic witha 3/4 inch bore)
*as a note my entire team is against throwing in the autonomous period. We are sure that if we throw a crate the wrong way and it goes into the crowd bad things will come from the refs. very bad things. I guess testing would be in order for that ^_^
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