To convert angular speed from radians per second to revolutions per second, divide the angular speed by 2π, since one revolution equals 2π radians. The discussion involves a problem where a diver's moment of inertia changes while performing revolutions. The diver makes four complete revolutions in one second while tucked, and the question asks how many revolutions would occur in three seconds if she hadn't tucked. To solve this, one must understand the relationship between angular speed, moment of inertia, and the conservation of angular momentum. The key takeaway is the conversion method and the importance of moment of inertia in rotational motion scenarios.