$10\mathrm{.}3$ Relating the Linear and Angular Variables

String is wrapped around the periphery of a $2\mathrm{.}00-cm$ radius cylinder, free to rotate on its axis. The string is pulled straight out at a constant rate of $12\mathrm{.}0c\frac{m}{s}$ and does not slip on the cylinder. As each small segment of string leaves the cylinder, what is the change in the magnitude of the segment's acceleration?

i $\frac{m}{s^2}$