Dung beetles are renowned for building large (relative to their body size) balls of dung and rolling

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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 3.5 cm/s, through what angle does the ball roll as the ball moves a distance of 15 cm? 

(b) What is the angular speed (assumed constant) of the ball’s rotation?

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