Answer
$\alpha = 23.3~rad/s^2$
$\theta = 420~rad$
Work Step by Step
$\omega = \omega_0+\alpha ~t$
$\alpha = \frac{\omega - \omega_0}{t}$
$\alpha = \frac{140~rad/s - 0}{6.00~s}$
$\alpha = 23.3~rad/s^2$
$\theta = \frac{1}{2}\alpha ~t^2$
$\theta = \frac{1}{2}(\frac{140~rad/s}{6.00~s})(6.00~s)^2$
$\theta = 420~rad$