This is may mastering physics homework and I just need help solving the question.
Luc, who is 1.80 m tall and weighs 950 N, is standing at the center of a playground merry-go-round with his arms extended, holding a 4.0 kg dumbbell in each hand. The merry-go-round can be modeled as a 4.0-m-diameter disk with a weight of 1500 N. Luc's body can be modeled as a uniform 40-cm-diameter cylinder with massless arms extending to hands that are 85 cm from his center. The merry-go-round is coasting at a steady 27 rpm when Luc brings his hands in to his chest.

Angular speed of the disc after he fold his hands is given as

Explanation:

As we know that the moment of inertia of the solid cylinder is given as

so we have

now moment of inertia of two dumbbell in his hand is given as

Now moment of inertia of the disc is given as

Now we can use angular momentum conservation as there is no external torque on it

Hello above answerer, Why didn't you add I2 on the other side of the equation?

You just added I1 and I3

Explanation:

well, you would divide 135 by 33 to get your answer. then that is how many seconds it would take. boardman should fly about 132 m or 4.090909090909091 seconds.