Answer
$9.6\ s$
Work Step by Step
Given:
initial angular speed $\omega_o = 0\ rev/s$
angular speed is given by $ω=10 rev/s$
angular acceleration $\alpha =1.041\ rev/s^2$
From rotational kinematic equations, we have
$\omega = \omega_0+\alpha t$
$t = \frac{\omega-\omega_0}{\alpha}$
$t=\frac{10\ rev/s-0}{1.041\ rev/s^2}$
$t = 9.6\ s$
