Luc, who is 1.80 m tall and has a mass of 80 kg, is standing at the center of a playground merry-go-round with his arms extended, holding a 1.25 kg dumbbell in each hand. the merry-go-round can be modeled as a 80-cm-diameter disk with a mass of 20 kg. luc's body can be modeled as a uniform 40-cm-diameter cylinder with massless arms extending to hands that are 80 cm from his center. the merry-go-round is coasting at a steady 40 rpm just before luc brings his hands in to his chest such that the dumbells are located on the rotation axis. afterward, what is the angular velocity, in rpm, of the merry-go-round?