Answer
a) 725 seconds
b) 21,749 revolutions
Work Step by Step
a) Converting rotations per minute into radians per second and then using the correct equation, we obtain:
$\omega = \omega_0 +\alpha t \\377 = 0+.52t \\ t = \fbox{725 seconds}$
b) We find the change in theta:
$\theta=\omega_0 t +\frac{1}{2}\alpha t^2 \\ \theta = \frac{1}{2}(.52)(725^2)=1.4\times10^5 \ rads = \fbox{21,749 revolutions}$
