Chapter 11 - Rotational Dynamics and Static Equilibrium - Problems and Conceptual Exercises - Page 371: 79

$0.423\frac{rad}{s}$

We know that $\omega _f=\sqrt{\frac{2rF\Delta \theta}{I}}$ $\omega_f=\sqrt{\frac{2RF\Delta \theta}{\frac{1}{2}MR^2}}$ $\omega_f=\sqrt{\frac{2)(2.74)(36.1)(32.5\times \pi rev/180^{\circ})}{\frac{1}{2}(167)(2.74)^2}}$ $\omega_f=0.423\frac{rad}{s}$