Question

(7%) Problem 13: Three children are riding on the edge of a merry-go-round that is a disk of mass 106 kg, radius 1.7 m, and is spinning at 19 rpm. The children have masses of 21.2 kg, 28 kg, and 33.4 kg. Randomized Variables M= 106 kg m = 21.2 kg N = 28 kg m3 = 33.4 kg r=1.7 m 19 rpm If the child who has a mass of 28 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm? Grade Summary Deductions Potential 100% 7 8 9 E 4 5 6 sin cos tan cotan asino acoso atano acolano) sinho cosho tanho cotanho • Degrees Radians Submissions Attempts remaining: 10 per attempt detailed view 1 23 + 0 - NO Submit Hint
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Answer 1

The initially moment of inertia is, MR2 I +R(m+ m2 + m ) 2 (106)(1.1)* +(1.1)°(21.2 +28+ 33.4) 2 = 164.076kgm? The finally moment of inertia is, MR2 1, +Rº (m +m) 2 (106) (1.1) -+(1.1) (21.2+28) 2 = 123.662 kgm From conservation angular momentum 1,0; = , The new angular velocity is, 1,0, I, (164.076 (19) 123.662 = 25.2 rpm