A playground merry-go-round has a disk-shaped platform that rotates with negligi

Question

A playground merry-go-round has a disk-shaped platform that rotates with negligible friction about a vertical axis. The disk has a mass of 200  kg and a radius of 1.7 m. A 40-  kg child rides at the center of the merry-go-round while a playmate sets it turning at 0.15rpm. If the child then walks along a radius to the outer edge of the disk, how fast will the disk be turning? show work please

Explanation / Answer

from angular momentum conservation; I*w = I'*w' => (m*r^2/2)*w = [(m*r^2/2) + M*r^2] *w' =>(200*1.7^2/2)*0.15 = [(200*1.7^2/2) +40*1.7^2]*w' => w' = 0.107 rpm

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