The man sits on the swivel chair holding two 5-lb weights with his arms outstretched. If...

The man sits on the swivel chair holding two 5-lb weights with his arms outstretched. If he is rotating at 3 rad/s in this position, determine his angular velocity when the weights are drawn in and held 0.3 ft from the axis of rotation. Assume he weighs 160 lb and has a radius of gyration = 0.55 ft about the z axis. Neglect the mass of his arms and the size of the weights for the calculation.