Two kids sit on the ends of a uniform board that is 6.62 meters long and 0.281 meters wide. The board rotates horizontally about a frictionless pivot through its center. If the board has a mass of 5.51 kilograms and each kid has a mass of 10 kilograms, find the rotational inertia for the board and kids system. With the kids at opposite ends of the board, the board is initially rotating at 1.83 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?