A Ferris wheel has a 40-foot radius and the center of the Ferris wheel is 48 feet above the ground. The Ferris wheel rotates in the CCW direction at a constant angular speed of 3 radians per minute. Shaun boards the Ferris wheel at the 3-o'clock position and rides the Ferris wheel for many rotations. Let t represent the number of minutes since the ride started. Required:
a. Write an expression (in terms of t) to represent the number of radians Conner has swept out from the 3-o'clock position since the ride started.
b. How long does it take for Conner to complete one full revolution (rotation)?