A large commercial wind turbine has a wing span (diameter) of 110m. The inertia of this turbine has been estimated to be 2.802x107 kg-m2. On a still summer day, a big dumb Canadian goose flew into the turbine, impacting one of the blades. The goose's velocity at the moment of impact was 17.53 m/s, directed perpendicular to the blade, as in the picture to the right. The impact was at distance d=47.2 m from the center of rotation. The goose weighs 6.749 kg, and has a wing span of 1.81m. All of the goose's kinetic energy was converted into rotational energy of the turbine. If the initial angular velocity of the turbine was 0.00531 rad/s, what was the angular velocity after the impact? Include units in SI. Positive is CW.

A large commercial wind turbine has a wing span (diameter) of 110m. The inertia of this turbine has been estimated to be 2.802x107 kg-m2. On a still summer day, a big dumb Canadian goose flew into the turbine, impacting one of the blades. The goose's velocity at the moment of impact was 17.53 m/s, directed perpendicular to the blade, as in the picture to the right. The impact was at distance d=47.2 m from the center of rotation. The goose weighs 6.749 kg, and has a wing span of 1.81m. All of the goose's kinetic energy was converted into rotational energy of the turbine. If the initial angular velocity of the turbine was 0.00531 rad/s, what was the angular velocity after the impact? Include units in SI. Positive is CW.