The earth rotates 60degrees does in?

360 degrees is the intuitive answer, but it is not correct. The earth completes a 360 degree rotation in about 23 hours, 56 minutes and some odd seconds, which is the sidereal, or true, rotational period of the earth. I don't know the exact degrees in 24 hours, but it will be reasonably close to 361 degrees (roughly 1 extra degree per day to account for a full rotation over the course of a year).