Answer
$ \omega = 6.34 \ revs/s$
Work Step by Step
We find the initial rotational inertia:
$I = 5.7 + 5(.76^2)=8.588$
We use conservation of angular momentum to find:
$8.588(3.1)=4.2\omega \\ \omega = 6.34 \ revs/s$
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