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How does mass affect angular velocity?
Mass affects angular velocity through conservation of .
The basic equation for angular momentum is ##L=Iomega##, where I is the and ##omega## is the angular velocity. The moment of inertia is proportional to mass, so if the mass suddenly decreases (such as when a massive star blows itself to smitherines in a supernova explosion), the angular velocity of the leftover remnant will increase (though the primary reason for this increase is that the radius of the central core decreases greatly--radius is another component of the moment of inertia--so ##omega## increases).
