76 kg woman stands at the rim of a horizontal turntable having an inertia 558 kgmm and a radius 1.6 m. The turntable is initially at rest and is free to rotate about a frictionless, vertical axle through its centre. The woman starts walking around the rim at a constant speed 1.6 m/s relative to the ground. What is the magnitude of the angular velocity of the turntable? Answer in units of rad/s.