A figure skater with his arms and a leg maximally extended (position 1) has a moment of inertia of 5.9 kg·m2. By pulling his arms and legs in as close as possible to the central axis of his body (position 2) he is able to reduce his moment of inertia to 1.1 kgm2. If he begins spinning in position 1 with an angular velocity of 0.44π / s (in radian measure), what will be his angular velocity if he then switches to position 2?
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