Extreme Gear Ratios and back again

No.11695045 ViewReplyOriginalReport
Seen this type of thing before, but I watched this then had a thought
https://youtu.be/QwXK4e4uqXY

Say you have an extreme reduction gear, but then add an extreme multiplier gear to cancel it out, so theoretically the output gear moves at normal speed in line with the motor, so if the motor is 500rpm the output gear is 500rpm too.

But would that actually work when the gears in the middle *appear* to be motionless?

How much reduction does it take to make the multiplied gear at the end motionless? (Assume multiplication is the same as the reduction so it ends up always 1:1)

Also in the case of massive extremes such as in the video, ignoring meshing and play and the like, the amount of movement would be below the Planck length right? So would the gear “tick” forward in Planck lengths after enough “movement” has added up to a Planck length, or would it just never move? (Regardless of passage of time)