So I'm having one of those strange thoughts that I can't get out of my head (a result of a migraine, taking medicine to stop it, the effects both of those have and just my general insanity) and I don't quite know how to figure out the answer or if even my thinking is right. You have two gears of equal size, one is connected to a source of power and the one it is connected to is driven by the first. The first gear rotates once the second gear should rotate once. ("In theory.") Right? But there's always energy loss between two objects when there's motion that occurs in the form of heat so this likely isn't a 1:1 transfer of power but more like 1:.99999999... or something? So say teeth of these gears are identifiable in some way. They're numbered, they're colored, or something and they start off in sync, how many rotations would need to happen for them to fall out of sync if only be one tooth? Or, say, you had a chain of the gears lined up, how many would you need for one full rotation of the first gear to come down to the movement of a single cog on the final gear? Or am I just nuts and it's always 1:1 perfectly forever since they're "locked" together and the energy loss isn't great enough to change anything is made up for by whatever is driving things having to work just that little bit harder?