(Solved): Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. M ...

Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 13 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 7 feet from the center. (a) What is Mary's angular speed \( \omega_{M} \) compared to that of Alex's angular speed \( \omega_{A} \) ? Give your answer as a multiple of \( \omega_{A} \) - \[ \omega_{\mathrm{M}}= \] Consider the definition of angular velocity. \( \omega_{\mathrm{A}} \) (b) What is Mary's tangential speed \( v_{M} \) compared to that of Alex's tangential speed \( v_{A} \) ? Give your answer as a multiple of \( v_{A} \). \[ v_{M}= \]