a). What is the angular velocity of the merry go round? nts b). What is the forc

Question

a). What is the angular velocity of the merry go round? nts b). What is the force required to stay on the merry go round? c). What is the angular momentum of the students on the merry go round? d). One student slowly walks to the center of the merry-go-round. i. What is the new angular velocity? ii. And the new force required to hang on? ii If someone jumps off, how fast will they be going? e). Fill in the chart below as the students, one by one walk to the center of the merry-go-round. (hint: Matlab or Excel is your friend) Number of students who have walked to the center. 0 Exit velocity (if someone on the edge was to let go). Angular velocity Force required to stay on the merry-go-round. 10 f). At what point does this start to be a very bad idea?

Explanation / Answer

We know that angular velocity omegha = v/r

Given v = 10 ft/sec

Radius r = 5 ft

So omegha = 10/5 = 2 rev/ sec

Iif

Force = mv2/r .= 150* square 10/ 5 = 150*100/2= 7500

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