Answer
$5.48rad/s^{2}$
Work Step by Step
Centripetal acceleration $=10g$
$m\frac{v^{2}}{r}=10g$
$v^{2}=\frac{10\times9.8\times0.35}{1.5}=22.9$
$v=4.79m/s$
$r\omega=4.79$
Angular speed =$\omega=\frac{4.79}{0.35}=13.7rad/s$
Thus, the constant acceleration $=\frac{13.7-0}{2.5}=5.48rad/s^{2}$