A25.0-kg child is standing at the edge of a horizontal merry-go-round with a radius of 2.40 m and a moment of inertia of 356 kg∙m2 about a vertical axis through its center. the system (including the child) is initially rotating at 1.80 rad/s.
what is its angular velocity if the child moves to a new position 1.20 m from the center of the merry-go-round?

Explanation:

given,  

diameter of merry - go - round = 2.40 m  

moment of inertia = I = 356 kg∙m²

speed of the merry- go-round = 1.80 rad/s

mass of child = 25 kg  

initial angular momentum of the system  

final angular momentum of the system  

from conservation of angular momentum  

the answer is kevlar

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