The whining noise could be a belt tensioned too tightly, or, if tensioned correctly, you have found a pulley bearing that is worn that you did not know about before. If it was the water pump bearing gone, then it is likely that the pump would leak water.
Re-check your tensions first. The cam belt tension should be so that you can twist the belt through 90 degrees with moderate force with your finger and thumb, in the middle of the pullies that are furthest apart from each other.