After weeks of trial and error, Wheatley can now turn round and round without any wires getting tangled up. The hardest part of figuring this out was that there wasn't much space inside Wheatley. I had to try many different designs before I finally got something to work, but it was worth it because having Wheatley turn around and around adds a lot to the effect. He can look all around, and programming in motions will be much easier.
The way this works is by having copper sheets rub against each other as Wheatley turns so that there can still be a continuous flow of electricity to the motors on the TAD (Track Attachment Device). Here is a video of this mechanism.
Here is a video of Wheatley so far. The next step is to start working on the eye.