A merry go round has rotational inertia (moment of inertia) of 73.0 kg/m^2 and is rotating at a constant speed of 30.0 rads./sec. A fat turkey (mass 10.0 kg) flying overhead dies and falls straight down, landing 1.75 meters from the center of the merry go round. Assume the bird is a point object with I = mr^2 . What is the new angular speed of the merry go round?