I am not sure how to approach this problem. A similar question has gone unanswered before.
If the conductor was at rest, then the charge would have distributed evenly. Now all the charges will feel pushed out due to the rotation of the sphere. However the amount of "push" is proportional to the distance from the axis (centripetal force is proportional to the radius if angular velocity is constant).
But the electrons would not like to accumulate together, so they must be resisting the urge to group together (near the equator).
Have I missed any other electromagnetic effect (other than the Coulombic repulsion)?