lass Management I Help N14 (Rotational motion) Begin Date: 10/31/2017 11:00:00 P
ID: 1782408 • Letter: L
Question
lass Management I Help N14 (Rotational motion) Begin Date: 10/31/2017 11:00:00 PM-Due Date: 1/14/2017 11:59:00 PM End Date: 12/14/2017 11: (796) Problem 13: Three children are riding on the edge of a merry-go-round that is a disk of mass 92 kg, radius l./ m, and is spinning at 16 rpm. The children have masses of 20.4 kg, 29.6 kg, and 33.4 kg. Randomized Variables M= 92 kg m- 20.4 kg m2- 29.6 kg m 33.4 kg r= 1.1 m f- 16 rpm If the child who has a mass of 29.6 kg moves to the center of the merry-go-round, what is the new magnitude of angular velo Grade S Deductio Potential sin() | cos() | tan() | | (1M7| 8|9 Submissi Attempts (2% per detailed cotan asin acos( atan) cosh) tanh cotanhO 12 3 0 Degrees O Radians SubmitHint I give up Hints: g deduction per hint. Hints remaining 2 Feedback: 0% deduction per feedback.Explanation / Answer
use conservation of amgular momentum
If*wf = Ii*wi
wf = Ii*wi/If
= (M*R^2/2 + (m1+m2+m3)*R^2)*wi/(M*R^2/2 + (m2+m3)*R^2)
= (92*1.1^2/2 + (20.4 + 29.6 + 33.4)*1.1^2)*16/((92*1.1^2/2 + (20.4 + 33.4)*1.1^2)
= 20.7 rpm
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