physics question please help!!?

Question

A space station shaped like a giant wheel has a radius 96 m and a moment of inertia of 4.96 108 kg·m2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg.
____m/s2

Answer 1

Angular acceleration A has two components ac(normal) and at (tangential to the motion). During steady state at=0 and A=ac
ac=V^2/R

Torque is
T=IA where
I - total moment of inertia

When 100 people move to the center we have a reduction in moment of inertia and increase in A.

I= Iw+ nIp
Iw- I wheel
Ip- 150 point masses (equally distributed I hope)
n- number of people on the 'rim'.
Iw=4.96 E+8 kg·m2.
Ip= mR

Torque before
T1= (Iw + 150 mR) V^2/R
Torque after =T1 before

T2=T1= (Iw + 50 mR) V2^2/R