Why is it that the horse closest to the axis of rotation on a merry go round spins slower than the horse on the outer edges of the merry go round?
I saw this video on youtube and got confused at the first merry go round example:
According to conservation of mass, isn't v inversely related to r, so shouldn't the inner horse spin faster? In the same way that ice skaters extend their arms to spin slower and pull in their arms to spin faster?
Please explain, thanks! Feel free to use math, examples, etc.