The minute hand on a clock has an angular
velocity of 2 radians/hour, while the hour hand has an angular velocity of radians/hour. At 12:00, the hour and second hands both point straight up. The two
hands will next come back together sometime after 1:00. At what exact time will this
happen? (Hint: You want to find the next time when the angle of rotation made by
the hour hand is coterminal with the angle made by the minute hand after it has first
completed one full revolution.)