Yes. mass is the factor as it loses mass but angular momentum has to be conserved. For that reason it get the higher rotational speed.
Angular momentum = moment of inertia (mass x radius squared) x angular velocity
I hope it will answe your question.
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Yes this is so logical. Thank you. Are you going to write a second part related to this subject?
Yes in 3 to 4 days :)
Can not wait