Sure, that’s what’s happening when you stand at either pole. You wouldn’t feel it because the ground’s rotating under you and you turning with it. (eta: or in the case of the north pole, the ice under you.)
But if you watched the sky above you, and maybe took a long exposure photograph, you would see that all the stars are spinning in what seems like a circle right around you. (of course it’s not them that’s spinning, you are!)
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