This type of discussion has come up before if you care to search back in the FOG archives. It would depend on how much area and roughness of the surface. Grinding concrete by hand (or hand held sanders) can get very old very fast. the dust is probably finer than any dust developed from woodworking. even if not any finer, it is heavier in a given voluum, but still light enough to not settle in a cyclone. It can, if not contained by any kind of vac system, float into every corner and crevase of any room in the house (don't ask how i know, it is a rather long story i have related elsewhere on the FOG) Aside from the dust problem, there is a certain amount of weight necessary to do a proper grinding job. A small area and/or not very rough surface and not much problem. A large area and/or very rough surface and you would do well to rent a piece of equipment meant for the job.
I am running late for an evening meeting. Gotta run.
Tinker