Two kids sit on the ends of a uniform board that is 5.72 meters long and 0.35 me

Question

Two kids sit on the ends of a uniform board that is 5.72 meters long and 0.35 meters wide. The board rotates horizontally about a frictionless pivot through its center. The board has a mass of 4.67 kilograms and each kid has a mass of 9.58 kilograms.

The inertia of the board is 1/12*4.67*(5.72*5.72+.35*.35)
12.780583583333333333333333333333

The inertia of each kid is 9.58*(5.72/2)*(5.72/2)
78.360568

The total inertia is 1/12*4.67*(5.72*5.72+.35*.35)+2*9.58*(5.72/2)*(5.72/2)
169.50171958333333333333333333333

With the kids at opposite ends of the board, the board is initially rotating at 2.47 radians per second. If the kids both scoot in towards the center of the board, what will the new angular speed be when they are both halfway towards the center?

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