Three children are riding on the edge of a merry-go-round that is 182 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 17.4, 28.5, and 32.8 kg. If the child who has a mass of 28.5 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm
Answers: 3
(1)
- Mass of the merry-go-round, in kilograms.
, 
, 
- Masses of the three children, in kilograms. 
- Radius of the merry-go-round/Distance of the children with respect to the center of the merry-go-round, in meters.
, 
- Initial and final angular speed, in revolutions per minute. 
, 
, 
, 
, 
and 
, then the final angular speed of the system is:
![\dot n_{f} = \left(15.3\,\frac{rev}{min} \right)\cdot \left[\frac{\frac{1}{2}\cdot (182\,kg) + 17.4\,kg +28.5\,kg + 32.8\,kg }{\frac{1}{2}\cdot (182\,kg) + 17.4\,kg + 32.8\,kg } \right]](/tpl/images/1383/1321/10abb.png)
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