Dr. Eriksson is working on a material called selenium. She is adding a certain number and type of atoms to the selenium, which w
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Answer:
The new angular velocity of the merry-go-round is 18.388 revolutions per minute.
Explanation:
The merry-go-round can be represented by a solid disk, whereas the three children can be considered as particles. Since there is no external force acting on the system, we can apply the principle of angular momentum conservation:
(1)
Where:
- 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.
If we know that ,
,
,
,
and
, then the final angular speed of the system is:
The new angular velocity of the merry-go-round is 18.388 revolutions per minute.