A bicycle tire of radius 0.39 m has a piece of gum stuck on its rim. What is the angle through which the tire rotates when the gum has moved through a linear distance of 1.87 m? Express your answer in radians and degrees. : rad : Supporting Materials J Physical Constants '2 Points] WEBASSIGNALGPHYS1 6.1.009. (a) What is the angular speed (in rpm) with which the Earth spins on its axis? rpm (b) What is the angular speed (in rpm) with which the Earth revolves around the Sun? Assume that the path is circular. :] rpm Supporting Materials J Physical Constants '2 Points] WEBASSIGNALGPHYS1 6.1.007. Mary and her younger brother Alex decide to ride the 32-foot-diameter carousel at the State Fair. Maw 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 wM compared to that of Alex's angular speed wA? Give your answer as a multiple of 1/4. (b) What is Mary's tangential speed vM compared to that of Alex's tangential speed VA? Give your answer as a multiple of VA