Answer
$0.37\frac{rad}{s}$
Work Step by Step
We know that in the given scenario
$L_i=L_f$
$mvr+0=I_f\omega_f$
$\implies mvr=(I_{student-stool}+mr^2)\omega_f$
This can be rearranged as:
$\omega _f=\frac{mvr}{I_{student-stool}+mr^2}$
We plug in the known values to obtain:
$\omega_f=\frac{(1.5)(2.7)(0.40)}{(4.1)+(1.5)(0.40)^2}$
$\omega_f=0.37\frac{rad}{s}$