[Tinker51]

Hray is right.
Sanding through 2000 will leave you with a dull satin finish. If you want to brighten it up, go finer. Using a car polisher with wool pads will have essentially no effect. I made the same unit Hray talks about only out of a big angle grinder and I use 8" wheels. It works great but it is taxing to use for any length of time because of weight and muscle power required to keep it under control.
Here is another hint. If you decide to use a machine to polish it take these two pieces of advice.
1. Do it outside. It will throw an incredible amount of crud around. Way worse than machine polishing a car.
2. When you finish, go inside and take a shower. You look like Al Jolsen.

Here is a picture of me using the machine I built for polishing pieces too large to take to the buffing wheel so I brought the buffing wheel to the piece