Answer
a) $\omega =4.71 rad/s $
b) $ T= 3.33 s$
Work Step by Step
a) $ \omega =\frac{\theta}{t} = \frac{45}{60} *2\pi \space rad/s= 1.5\pi rad/s \\ \omega =4.71 rad/s $
b) $T = \frac{2\pi}{\omega} = \frac{2\pi}{1.5\pi} s = \frac{4}{3}s \\T = 3.33 s$