Thank you to my west coast brother who answered my question posed yesterday. He says those skaters can keep spinning faster and faster because of something called conservation of momentum. Evidently, the closer the mass gets to the axis the faster it spins. So now we know. Ok, maybe you already knew. So now I know. Still no explanation as to why they don't get dizzy and fall down. I shall continue watching, thinking 'conservation of momentum' and trying to figure out the rest. Maybe, if you spin really, really fast you don't get dizzy? I will not be experimenting to find out, even though there is a skating rink right across the street.
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