text: during competition, an olympic skater spins at an angular velocity of 70 revolutions per minute.  by reposi? during competition, an olympic skater spins at an angular velocity of 70 revolutions per minute.  by repositioning her arms, she reduces her rotational moment of inertia to 2/3 of the initial rotational moment of inertia.  determine her new angular velocity. new angular velocity will be 85.732141 revolutions per minute.  as the net rotational kinetic energy remains conserved.  i*70*70 = 2/3i*w*w where w is the new angular velocity  thus w = 85.732141 revolutions per minute.