A uniform disk is constrained to rotate about an axis passing through its center and perpendicular to the plane of the disk. if the disk starts from rest and is then brought in contact with a spinning rubber wheel, we observe that the disk gradually begins to rotate too. if after 22 s of contact with this spinning rubber wheel, the disk has an angular velocity of 3.0 rad/s, find the average angular acceleration that the disk experiences. (assume the positive direction is in the initial direction of rotation of the disk. indicate the direction with the sign of your answer.)