Mary and her younger brother Alex decide to ride the carousel at the State Fair.
ID: 1441160 • Letter: M
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 3.4 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
Find the angular speed of Mary by using the following equation
M = 2 / T
Substitute given values
M = 2 rad.s / 3.4 s
M = 1.8 rad/s
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tangential speed of Mary
vM = r. M
vM = ( 2.0 m ) ( 1.8 rad/s )
vM = 3.7 m/s
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Angular speed of Alex is same as angular speed of Mary as their rate of
agular speed is same.
M = 2 rad.s / 3.4 s
M = 1.8 rad/s
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Tangential speed of Alex:
vA = r. A
vA = ( 1.2 m ) ( 1.8 rad/s )
vA = 2.2 m/s
( Note: All the above answers mentioned in 2 significant digits )