Question

If the moment of inertia of the diver in a straight position is 14 kg⋅m2 and in a tucked position is 4.0 kg⋅m2 , by what factor is her angular velocity when tucked greater than when straight?

Answer 1

I'm not really that familiar with this type of problem but I encountered this question before. 

Is = moment of inertia in straight position
It =  moment of inertia in tucked position.

Wt It = Ws Is

Wt = Is/It ;

Ws = 14 kg m² / 4 kg m² = 14/4 = 3.5

Her angular velocity when tucked is 3.5 greater than when straight.