To me the intuitive explanation is that if they were gears, with shafts fixed in a block, the small wheel would turn 3 times per turn of the big wheel, but in the given scenario the small gear also has to go around the big one, hence the R/r+1 solution.
Yeah. I think that’s the intuition I have about this too. It rotates once by virtue of going around, and three times by virtue of the size of the big circle.
If you imagine a very tiny circle it’d still rotate a full time.
