An ice skater consists of a moment of inertia of around 3.0 kg m^2 when his arms are outstretched and a moment of inertia of around 1.0 kg m^2 when his arms are tucked in close to his chest.
When he begins to spin at an angular speed of 2.0 rps (revolutions per second) with his arms outstretched, determine the angular speed be when they are tucked in?