please help! i\'m not quite sure what i\'m doing wrong with these two parts! ple

Question

please help! i'm not quite sure what i'm doing wrong with these two parts! please help with both and i will rate! and explain if possible, i'm not familar with how to approach this! thanks so much!

Mary and her younger brother Alex decide to ride the 17-foot-diameter carousel at the State Fair Mary sits on one of the horses in the outer section at a distance of 8 feet from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 5 feet from the center. (a) What is Mary's angular speed compared to that of Alex's angular speed aA? Give your answer as a multiple of aA- CUM 4.295 Consider the definition of angular velocity.CoA (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. VM 1.7 How is tangential speed related to the radius and angular velocity?vA

Explanation / Answer

As you asked multiple questions, so i am bound to answer first one.

(1)

(a)

Since it is uniform circular motion so angular speed is constant.

angular speed of mary and alex will be equal.

wM = wA

(b)

we know that,

v = w*r

vM / vA = rM*wM / rA*wA

vM = 8*vA / 5

vM = 1.6*vA

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