Your local park has a friction-free merry-go-round for the kids to play on. One
ID: 1313168 • Letter: Y
Question
Your local park has a friction-free merry-go-round for the kids to play on. One day you notice the merry go round is rotating counterclockwise about its center. A teenager who is standing still next to the merry go round grabs onto one of its bars and climbs aboard very close to the outer edge. Thus the teen begins with an angular speed of zero and ends up with a nonzero angular speed. The merry go round (by itself) has a moment of inertia of 1 kg.m^2 a radius of 1.63 m and an initial angular speed of 3.17 rad/s. the mass of the teenager is 45.4 kg. find the final angular speed of the carousel after the teen climbs aboard.
Explanation / Answer
Moment of inertia of kid = mr2= 45.4*1.632= 120.63kgm2
Fro conservation of angular momentum,
I1w1=I2w2
=>1*3.17=(1+120.63)w2
=>w2=.026 rad/s
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