A4.0-m-diameter playground merry-go-round, with a moment of inertia of

500kg? m2 is freely rotating with an angular velocity of 2.0rad/s . ryan, whose mass is 70kg , runs on the ground around the outer edge of the merry-go-round in the opposite direction to its rotation. still moving, he jumps directly onto the rim of the merry-go-round, bringing it (and himself) to a halt. how fast was ryan running when he jumped on?

The air in an automobile tire with a volume of 2.60 ft3 is at 70°f and 21 psig. determine the amount of air that must be added to raise the pressure to the recommended value of 30 psig. assume the atmospheric pressure to be 14.6 psia and the temperature and the volume to remain constant. the gas constant of air is ru = 53.34ft⋅lbflbm⋅r(1 psia144 lbf/ft2) = 0.3704 psia⋅ft3lbm⋅r the amount of air that must be added to raise the pressure is lbm