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Tytus,
You could be on to something here. Your basic idea of coupling two motors through a differential is good and could be used in a compact manner on a FIRST robot.
However, in my opinion, you have some more work to do in order to turn this concept into a working model. I'll try to give some suggestions and clarify what Maddie and Jeremy are saying above:
1. Your 1:1 bevel gear mating of the CIM and drill motor is very inefficient. This pair of motors will run at an rpm that is higher than the 5,500 free speed of the CIM, but you need to realize that once the CIM motor gets near or over 5,500, it becomes very inefficient. Electric motors, in general, run most efficiently at about 1/2 of their rated free speed.
Since the free speed of the drill is about 20k, then you should incorporate a ratio between 3.5 and 4:1 in order to couple these two motors together.
2. Realize that bevel gears are less efficient than spur gears. I don't know the exact numbers, but I am guessing that spur gears are around 97% and bevel gears are around 90-92%.
3. It appears that you are actually speeding up your rpm's through a smaller bevel gear on your output shaft. I would suggest slowing your rpm's down. Most FIRST robots operate their wheels around 150 - 500 rpm, so you are gonna want to definitely reduce the speed of your output shaft and then do another reduction in order to get a manageable rpm.
Keep designing and good luck.
Andy B.
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