Hi Hollywood!
Now I'm not ever sure of anything I say or do, but I would try to equate the initial and final angular momentums L = m * v * r since they should be conserved.
Where the tangential velocity v = (2 * pi * r )/ TSo the initial Lo = (Mo * 2pi * Ro ^2)/To
And the final Lf= (Mf * 2pi *...