Torque, gearboxs and chain gearing

[Trent B]

Hypothetical situation I can't seem to wrap my head around. (Not sure if this fits motors but I suppose it does given the relationship of gearings to motors)

Lets say I take a CIM motor and calibrate it to run at <40amps constantly (so it wont trip the 40amp fuse) and it is putting out some amount of ft-lbs of torque.

Banebots P80 gearboxes say to not use over 85ft-lbs of torque. So lets say that I find a gear ratio that perfectly puts of 85ft-lbs of torque.

Now lets say I run a 12 tooth on the p80 and a 24 tooth on the receiving end effectively doubling the torque to 170ft-lbs, would this mean the P80 now has an effective load of 85 ft-lbs on its output shaft or is it putting out 85ft-lbs of torque under the limit, and the gearing is causing 170ft-lbs on the receiving end.

I think the wording on banebots site sort of confused me into this scenario since when I think about that 150k:1 VEX Gearbox the beginning is effortless to turn and adding more and more reductions doesn't change torque required (correct?) thus the CIM should still operate at the same original level of torque and the gearbox at its 85ft-lbs or is there something I am missing.

Edit, now I think it may make sense to me, one point of a reduction gearbox is to get more torque without more work on the other end so I assume as long as the max torque of our CIM motor (controlled by current and CAN bus) stays below 85ft-lbs there would be no risk in gearing it up?

Trent