There are often "off shelf" solutions that are tempting but when separating the gearbox from the motor it's discovered that the there is no bearing on the input of the gearbox. The motor bearing is required for alignment and any axial load. It's technically difficult to adapt these to other motors and I assumed that would be the case with most angle grinder gearboxes or those removed from power drills. Also, isn't most of this stuff designed for intermittant use?
I noticed quite a few "scooter" gearbox replacement units for reasonable cost. These are dedicated designs and appear to have a female spline input that would be tough to utilize with any but the motor they're designed for. I also noted some gearboxes available for atv's. These kind of look promising, if a little overrated for a bicycle. Sometimes they are incorporated into the suspension with a hollow output shaft on the rear axle. The Hoot and Grubee kit-type gearboxes for bicycles are pretty uninspiring. Many horror stories connected to the Hoot, and the Grubee doesn't look significantly better built.
Just what is the optimum speed reduction for size, weight, torque, noise considerations in motorizing an ultralight bicycle? Right now, it seems a matter (for hobbyists) of trying to make use of what's out there. What, after all, if you were working with a clean sheet, would you be looking toward with those needs in mind? I just started seriously looking a week ago, and am pretty astonished to discover a thread no more than a couple of months old is mining the possibilities of a planetary gearset minus the housing.
When asking this question on a couple of other engineering forums I've been met dismissively, almost with hostility. Existing mopeds are mentioned in the same breath as "why reinvent the wheel". Short sighted, inexplicably mean spirited, and probably not a little bit the stubbornly defensive sentiment within the US automotive industry that has retarded it's progress for a few decades now.
"Existing mopeds", not modern scooters (another species) are generally 30 to 50 year old designs, trotted out again in hopes of cashing in on what is hoped to be a short term energy crisis. I already have a couple of these in my garage. They're fun, but almost entirely uninspiring when I consider what might be accomplished with a modern mountainbike frame and suspension.