A) A wheel rotates through an angle of 320° as it slows down from 78 rpm to 22.8

Question

A) A wheel rotates through an angle of 320° as it slows down from 78 rpm to 22.8 rmp. what is the magnitude of the average angular acceleration by the wheel?

B) A 5.0 m radius playground merry-go-round with a moment of inertia of 2000 kg*m2 is rotating freely with an angular speed of 1.0 rad/s. Two people, each having a mass of 60 kg are standing right outside the edge of the merry-go-round and step on it with a negligible speed. What is the angular speed of the merry-go-round right after the two people have stepped on?

Explanation / Answer

a.

v^2 = u^2 +2a

2*320*2/360 a =  (22.8*2/60)^2 - (78*2/60)^2 

a= - .8694 rad/s2 = - 81.9 rev/s^2

b.

I = I'

2000*1 = (2000 +60*5^2 + 60*5^2 )'

' = .4 rad/s

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