Answer
$1.52\times10^{4} rad/s^{2}$
Work Step by Step
The torque of a solid disc pulley of mass M and radius R is
$=\frac{MR^{2}}{2}\times $ angular acceleration
Thus, angular acceleration =$\frac{2\times6.4}{0.15\times0.075^{2}}=1.52\times10^{4} rad/s^{2}$