Rotating Conducting Rod in B-field

The previous post outlined how to find the induced voltage across a moving metal rod in a B-field. Because of qv x B, we found the rod polarizes and therefore has an E-field and voltage difference because of a separation of charge. Here is a different situation. Suppose instead of moving linearly through the B-field, the metal rod is nailed down on one side, and rotates in the magnetic field?! It is a moving conductor, so we would still expect it to polarize, and therefore have a voltage difference across the rod. The trouble is, different points of the rod will have a different speed! How do we handle this situation? Check this out...