Three children are riding on the edge of a merry-go-round that is 162 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 22.4, 30.5, and 38.8 kg. If the child who has a mass of 38.8 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?
By Conservation of angular momentum
IinitialWinitial =IfinalWfinal
[(1/2)mr2+(m1+m2+m3)r2]Winitial =[(1/2)mr2+(m1+m2)r2]Wfinal
[(1/2)*162+22.4+30.5+38.8]*1.62*15.3 = [(1/2)*162+22.4+30.5]*1.62*Wfinal
Wfinal=19.733 rpm
Three children are riding on the edge of a merry-go-round that is 162 kg, has a...
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