The pulleys below are connected by belts which do not slip. Pulleys $C$ and $D$ are rigidly connected. If

pulley $A$ is driven by an electric motor at a constant angular velocity ${}_A=5ra\frac{d}{s}CCW$ as shown:

a$.$ What is the angular velocity of pulley $B$ in rad$/$s$?$

Now, assuming pulley A has an initial angular velocity of $5ra\frac{d}{s}CCW,$ and accelerates at a constant rate

of ${}_A=10ra\frac{d}{s^2}$ :

b$.$ What is the angular velocity of pulley $B$ after it makes $10$ revolutions in $ra\frac{d}{s}?$