Russian ice skater, alina zagitova, spins her way to projected gold in the 2018 olympics. during one particular spin, she moves from a camel spin that rotates at about 95. rpm to a tight spin. if her rotational inertia changes from 129kgm² to 32kgm², what is the final spin rate of miss zagitova in rad/s and rpm

Given data:
Initial Rotational Inertia = 129.
Final Rotational Inertia = 32.
Initial RPM = N[RPM] = 95
Initial Angular velocity = ω =  = 9.95
Final Angular Velocity = ω = ?

This question is perfect for applying the law of conservation of angular momentum because there is no net external torque acting on the system.

As angular momentum = (rotational inertia) * (angular velocity)

Initial Angular momentum = Initial Rotational Inertia * Angular Velocity
=129 * 9.95 = 1283.55;

And Law of Conservation of momentum is:
Initial Angular momentum = Final Angular momentum
1283.55= 32 * ω
Ans-1(in rad/s): ω= 40.1 rad/s

The conversion formula for [rad/s] to [RPM] = ω   
Put the value of ω in the above equation.
Ans-2(in RPM): = 382.9 RPM

-i