Your question is essentially a version of the situation described by what's called the Ehrenfest paradox.   Here's a summary article on wiki:

http://en.wikipedia.org/wiki/Ehrenfest_paradox

Here's a key point quoted from therein:

"It must be noted that any rigid object from real materials, which is rotating with the transverse velocity close to the speed of sound in this material, must exceed the point of rupture due to centrifugal force. Thus, in the case of speed of light, it is only a thought experiment (The neutron-degenerate matter allows velocities close to speed of light, because e.g. the speed of neutron-star oscillations is relativistic)."

When you accelerate any object with mass you actually increase its mass according to the Special Theory of Relativity. This theory also tells you that it requires an infinite amount of energy to accelerate an object with mass to the speed of light.

So, assuming you had a power source capable of supplying infinite energy to the pole and that your pole was capable of withstanding the centripetal forces,  you would find that as the pole rotated faster and faster the mass of the pole would change along it's length until the tip approached that of infinity when it reached the speed of light. As you cannot accelerate an infinite mass any futher if you were to continue to put more energy into the pole you would find that the remainder of the pole would accelerate up to the speed of light. At no time would any part of the pole exceed the speed of light.

Bear in mind as well that long before that happened you would actually have created a black hole at the tip which would have sucked you and your pole into it.