Answer
$\alpha = 16~rad/s^2$
Work Step by Step
In part (a), we found that the magnitude of the acceleration of the center of mass is $a = 1.6~m/s^2$
We can find the magnitude of the angular acceleration about the center of mass:
$\alpha = \frac{a}{R}$
$\alpha = \frac{1.6~m/s^2}{0.10~m}$
$\alpha = 16~rad/s^2$