In an unusual variation on the game of darts, a 470 g, 36-cm-diameter dartboard rotates at 46 rpm on a frictionless axle. two champion dart players simultaneously throw 50 g darts at 7.5 m/s that each stick in the dartboard 10 cm from the axle. Afterwards, what is the dartboard's angular velocity? Express your answer in revolutions per minute.
