A wheel with a moment of inertia of 5.5 kgm 2 is rotating with an angular speed of 54 rad/s. A second wheel with a moment of inertia of 2.

A wheel with a moment of inertia of 5.5 kg•m2 is rotating with an angular speed of 54 rad/s. A second wheel with a moment of inertia of 2.25kg•m2, initially at rest, is suddenly coupled to the same shaft. What is the angular speed of the resulting combination? (Hint: think about momentum, before, and then after)