Why build when you can buy?
http://www.andymark.biz/ has gearboxes. Maybe you can get plans from them, or just the gears and make your own box.
Build a cheap gearbox--ouch. You'd need at least a manual mill. Then the material for the sideplates and axles. Then the gears and output sprocket. Assuming you have the mill, you'd be looking at at least a couple hundred, I think. That's about what an AM gearbox costs.
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Past teams:
2003-2007: FRC0330 BeachBots
2008: FRC1135 Shmoebotics
2012: FRC4046 Schroedinger's Dragons
"Rockets are tricky..."--Elon Musk
