A college campus features a large fountain surrounded by a circularpool. Two students start at the northernmost point of the pool andwalk slowly around it in opposite directions.
(a) If the angular speed of the student walkingin the clockwise direction (as viewed from above) is 0.055 rad/s and the angular speed of the otherstudent is 0.027 rad/s, how long doesit take before they meet? (in seconds)
(b) At what angle, measured clockwise from due north, do thestudents meet? (in degrees)
(c) If the difference in linear speed between the students is0.23 m/s, what is the radius of the fountain?