Suppose the body of an ice skater has a moment of inertia $4\text{ kgm}^2$ and her arms have a mass of $5\text{ kg}$ each with the center of mass at $0.4\text{ m}$ from her body. She starts to turn at $0.5\text{ rev/s}$ on the point of her skate with her arms outstretched. She then pulls her arms inward so that their center of mass is at the axis of her body. What will be her speed of rotation?