An ice skater of mass m = 60 kg coasts at a speed of v = 0.8 m/s past a pole. at the distance of closest approach, her center of mass is r1 = 0.45 m from the pole. at that point she grabs hold of the pole.

a. what is the skater's angular speed when she first grabs the pole? rad/s
b. what is the skater's angular speed after she now pulls her center of mass to a distance of r_2 = 0.46 m from the pole? rad/s