The minute hand on a clock makes one complete revolution every hour, moving clockwise.

(a) What is the velocity of the minute hand in radians/minute? (Keep in mind that clockwise rotation is considered movement in the negative direction).


(b) At 2:00, the minute hand is in the 12 o'clock position. What angle (measured from the 12 o'clock position) has it swept out at 2:43 ?


(c) If the minute hand is 3 inches long, what arc (measured in inches) has it swept out at this time?