Two skaters skate toward each other, each moving at \(3.3 \mathrm{~m} / \mathrm{s}\). Their lines of motion are separated by a perpendicular distance of \(2.0 \mathrm{~m}\). Just as they pass each other (still \(2.0 \mathrm{~m}\) apart), they link hands and spin about their common center of mass. What is the rotational speed of the couple about the center of mass? Treat each skater as a particle, one with an inertia of \(75 \mathrm{~kg}\) and the other with an inertia of \(48 \mathrm{~kg}\).