A playground carousel is rotating counterclockwise about its
center on frictionless bearings. A person standing still on the
ground grabs onto one of the bars on the carousel very close to its
outer edge and climbs aboard. Thus, this person begins with an
angular speed of zero and ends up with a nonzero angular speed,
which means that he underwent a counterclockwise angular
acceleration. The carousel has a radius of 1.53 m, an
initial angular speed of 3.09 rad/s, and a moment of
inertia of 122 kg·m2. The mass of the person
is 48.1 kg. Find the final angular speed of the carousel
after the person climbs aboard.