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-iii! 22% (a Fri 11:11 AM Q E Firefox File Edit View History Bookmarks Tools Windo Help o e e Mastering Physics: Bonus x C Physics question I Chegg X 0 a 0 https Session masteringphysics.com /myct em view?assignmentProble c Ca Search Most Visited Physics 2 Spring 2016 (University Physics I) Signed in as Juwan Mahaney Help close Bookmarks Help Sign Out Bonus Homework Short Answer Question 10.2 Resources previous l 2 of 28 l next Bookmarks Bookmarks Unsorted Be Short Answer Question 10.2 myZou: P Sig Bb Login Part A N Netflix A 21.9-kg child is standing on the outer edge of a merry-go-round that has moment of inertia 936 kg m and radius 2 m. The entire system is initially rotating at All-N 0.180 rev/s. Find the angular velocity if the child moves to a final position 1.10 m from the center of the merry-go-round files posted 3 Print Sm Log Pocket rev/S Subm My Answers Give U Continue Provide Feedback Grade 29

Explanation / Answer

here,

mass of the child , m = 21.9 kg

moment of inertia of the merry go round , I = 936 kg.m^2

initial distance , r1 = 2.4 m

final distance , r2 = 1.1 m

initial angular speed , w0 = 0.18 rev/s = 1.13 rad/s

let the final angular speed be w

using conservation of angular momentum

( I + m * r1^2) * w0 = ( I + m * r2^2) * w

( 936 + 21.9 * 2.4^2) * 1.13 = ( 936 + 21.9 *1.1^2) * w

w = 1.25 rad/s

the final angular speed is 1.25 rad/s or 0.198 rev/s

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