Dung beetles are renowned for building large (relative to their body size) balls of dung and rolling them on the ground.
(a) If a dung beetle can roll (without slipping) a ball of dung whose radius is 2.5 cm at a linear speed of 3.1 cm/s, through what angle does the ball roll as the ball moves a distance of 14 cm?
(b) What is the angular speed (assumed constant) of the ball's rotation?