Problem $15\mathrm{.}053-$ Two disks connected by an arm

Arm ACB rotates about Point $C$ with an angular velocity of $45ra\frac{d}{s}$ counterclockwise. Two friction disks A and $B$ are pinned at their centers to arm ACB as shown. Know that the disks roll without slipping at the surfaces of contact.

Problem $15\mathrm{.}053.$a $-$ Angular velocity of the disk

Determine the angular velocity of disk $B.$

The angular velocity of disk $B$ is $ra\frac{d}{s}.$