A circle with radius 1 rolls without slipping once around a circle with radius 3. How many revolutions does the smaller circle make?
Does it matter if the smaller circle rolls on the inside or outside of the larger circle?
1 if we talk about the revolution the circle itself made cause the center of the small just rolls one around the center of the big. 3 if we talk about the movement of the dots wich are in the circunference itself, I mean to end a cycle, an orbit, etc, it takes a dot of the circunfere move the lenght of it (the circunference) in the circunference, in that case moving 2ð ends a revolution. Cause the lenght of the big one is 6ð you need 3 revolutions of the small one to end one roll. It's obvious that it's the same outside and inside cause its the same distance.