Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.9 m, and is spinning at 25rpm. The children have masses of 24 kg, 26 kg, and 32.6 kg. Randomized VariablesM = 98 kg m1 = 24 kg m2 = 26 kg m3 = 32.6 kg r = 1.9 m f = 25 rpm If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? f' =

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Three children are riding on the edge of a merry-go-round that is a disk of mass 98 kg, radius 1.9 m, and is spinning at 25rpm. The children have masses of 24 kg, 26 kg, and 32.6 kg.

Randomized VariablesM = 98 kg
m1 = 24 kg
m2 = 26 kg
m3 = 32.6 kg
r = 1.9 m
f = 25 rpm

If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?
f' =
Expert Solution
Step 1

Using conservation of angular momentum,

Iω=I'ω'12Mr2+m1r2+m2r2+m3r2ω=12Mr2+m1r2+m3r2ω'ω'=ω12M+m1+m2+m312M+m1+m3

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