Three children are riding on the edge of a merry-go-round that has a mass 106 kg
ID: 2260737 • Letter: T
Question
Three children are riding on the edge of a merry-go-round that has a mass 106 kg, radius 1.8 m, and is spinning at 23 rpm. The children have masses of 23.2 kg, 29.2 kg, and 34.2 kg.Randomized VariablesM = 106 kg
m1 = 23.2 kg
m2 = 29.2 kg
m3 = 34.2 kg
r = 1.8 m
v = 23 rpm
If the child who has a mass of 29.2 moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? Three children are riding on the edge of a merry-go-round that has a mass 106 kg, radius 1.8 m, and is spinning at 23 rpm. The children have masses of 23.2 kg, 29.2 kg, and 34.2 kg.
Randomized VariablesM = 106 kg
m1 = 23.2 kg
m2 = 29.2 kg
m3 = 34.2 kg
r = 1.8 m
v = 23 rpm
If the child who has a mass of 29.2 moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
Explanation / Answer
initial angular momentum
(M+m1+m2+m3)*v*r
final angular momentum
(M+m1+m3)*v1*r
(M+m1+m3)*v1*r = (M+m1+m2+m3)*v*r
v1 = (M+m1+m2+m3)*v/ (M+m1+m3) = ((106+23.2+29.2+34.2)*23)/(106+23.2+34.2)
v1 = 27.11 rpm
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