1 answer

4. 1 points ts OSColPhysAP2 016 6.1.WA.007 My Notes Ask Your Teacher Mary and her younger...

Question:

4. 1 points ts OSColPhysAP2 016 6.1.WA.007 My Notes Ask Your Teacher 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 Marys angular speed ωΜ compared to that of Alexs angular speed ωΑ? Give your answer as a multiple ofan (b) What is Marys tangential speed Vw compared to that of Alexs tangential speed vA? Give your answer as a multiple of vA

4. 1 points ts OSColPhysAP2 016 6.1.WA.007 My Notes Ask Your Teacher 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 ωΜ compared to that of Alex's angular speed ωΑ? Give your answer as a multiple ofan (b) What is Mary's tangential speed Vw compared to that of Alex's tangential speed vA? Give your answer as a multiple of vA

Answers

here,

the distance of Mary from center , s1 = 8 feet

the distance of Alex from center , s2 = 5 feet

a)

for rotational motion

as they are on same plateform

both have same angular speed

so,

Wm = Wa

b)

the ratio of tangetial speed , (Vm)/(Va) = (Wm * s1) /( Wa * s2)

Vm /Va = ( Wa * 8 )/( Wa * 5)

Vm = 1.6 * Va

.

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