Donald Duck\'s three nephews Huey, Dewey, and Louie are triplets who have the sa

Question

Donald Duck's three nephews Huey, Dewey, and Louie are triplets who have the same mass. All three ducklings are standing on the edge of a merry-go-round spinning with angular velocity 0.5rad/s. If one duckling jumps off without pushing, what is the angular velocity with which the two remaining ducklings are spinning? Donald Duck's three nephews Huey, Dewey, and Louie are triplets who have the same mass. All three ducklings are standing on the edge of a merry-go-round spinning with angular velocity 0.5rad/s. If one duckling jumps off without pushing, what is the angular velocity with which the two remaining ducklings are spinning?

Explanation / Answer

for all the three children having same moment of inertia = I,

wi = 0.5 rad/s

Now, let the final angular speed is wf

using conservation of angular momentum

wi * Ii = If * wf

0.5 * 3 * I = wf * 2 * I

wf = 0.75 rad/s

the final angular velocity is 0.75 rad/s

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