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Cisneros778
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Homework Statement
Two children stand on the edge of a merry-go-round while their friend accelerates them to an angular speed of 3 revolutions per second. The merry-go-round has a radius 10 m and a mass 100 kg and both kids weigh 35 kg. Once they reach this speed one of the kids jumps off.
What is the angular speed of the merry-go-round right after the child jumps for his life?
Homework Equations
By conservation of angular momentum
The Attempt at a Solution
Moment of Inertia before the Jump = (35 * 10^2 ) * 2 = 70 * 10^2 kg-m^2
Moment of inertia after one of them jumps = 35*10^2 kg-m^2
70 * 10^2 * 3 = ωf * 35 * 10^2
=> ωf = 2*3 = 6 rad/sec