$6/158$The $165$lb ice skater with arms extended horizontally spins about a vertical axis with a rotational speed of $1$ rev$/$sec$.$ Estimate his rotational speed N if he fully retracts his arms, bringing his hands very close to the centerline of his body. As a reasonable approximation, model the extended arms as uniform slender rods, each of which is $27$ in$.$ long and weighs $15$ lb$.$ Model the torso as a solid $135$lb cylinder $13$ in$.$ in diameter. Treat the man with arms retracted as a solid $165$lb cylinder of $13$in$.$ diameter. Neglect friction at the skate$$ice interface.