The 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.11. The radius of gyration about the mass center is kG= 0.25 m. (Figure 1)
A spool with center G and radius 0.4 meters is resting on the surface that makes an angle of 30 degrees with the horizontal. The spool touches the surface at point A. One end of a rope is attached to a wall that is perpendicular to the inclined surface. Then the rope goes parallel to the surface and wraps from the upper side around the inner core of the spool, which has a radius of 0.2 meters.
Part A
Determine the angular velocity of the spool, measured clockwise, when t = 8 s
after it is released from rest.
Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise.

ω=??? rad/s