Answer
Please see the work below.
Work Step by Step
We know that according to law of conservation of energy
$L_i\omega_i=L_f\omega_f$
This simplifies to:
$\omega_f=(\frac{L_i}{L_f})\omega_i$
$\omega_f=(\frac{8.588}{4.2})(3.0)=6.1\frac{rev}{s}$