Consider an old clock. At midnight, the hour and minute hands coincide. Then the minute hand begins to rotate away from the hour hand. Suppose you adjust the clock by pushing the hour hand clockwise with a constant acceleration. After 60.0 min, the hour hand has the same angular speed as the minute hand. Calculate the hour hand's angular acceleration. Hint ω1 = (2π rad/12 hours) and ω2 = (2π rad/1 hour).