Mary and her younger brother Alex decide to ride the carousel at the State Fair.

Question

Mary and her younger brother Alex decide to ride the carousel at the State Fair. Mary sits on one of the horses in the outer section at a distance of 2.0 m from the center. Alex decides to play it safe and chooses to sit in the inner section at a distance of 1.2 m from the center. The carousel takes 4.4 s to make each complete revolution. (a) What is Mary's angular speed ?M and tangential speed vM? ?M = rev/s vM = m/s (b) What is Alex's angular speed ?A and tangential speed vA? ?A = rev/s vA = m/s

Explanation / Answer

a.) Mary: angular speed: rev / sec = 1 rev / 5.9 seconds = 0.17 rev / s Mary: tangential speed: m / sec = (circumference of circle with 2m diameter) / 5.9 s = 2*pi / 5.9 = 1.065 m/s b.) Alex: angular speed is same as Mary since it doesn't matter what distance from the center they are at. 0.17 rev / s Alex: tangential speed: m / sec = (circumference of circle with 1.4m diameter) / 5.9 s = 1.4*pi / 5.9 = 0.745 m/s

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