Hi Manitunc, since the platter is starting from 0 and assuming linear acceleration and that the platter reaches 33 1/3 rpm at exactly one revolution, then the average speed of that first rotation is 16 2/3 rpm. After the first rotation the average speed will be 33 1/3 rpm. I'm sure your most excellent Cosmos does better than 3.6 seconds if the belt is in good condition.
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