This is truly a good questions. There are a number of reasons that creating a gravity effect with centripetal force is currently impractical. There are many tradeoffs to spacecraft design. The largest restrictions are weight and cost. Everything that gets into space has to come from our planet and it's very expensive to lift each pound of material. (most of the weight on the ground before liftoff is fuel, more mass means more engines and more fuel, more structure, etc.) Due to those restrictions, spacecraft are very small. A small craft would need to be spun very fast to create any significant force and that would make crew very dizzy, disoriented, and somebody already mentioned the coriolis effect. There would also be a huge gravity gradient, strong at the "floor" weak at the head.
Another issue is energy. The spacecraft would need to be rotated by applying an angular force either using thrusters or reaction wheels. Thrusters burn fuel which is very limited on spacecraft. Reaction wheels can use electrical energy (Sun) but may not work too well with flexible spacecraft (like 2 tethered pods).
Space navigation requires occasional burns to correct the path. The spacecraft would likely have to be "despun" for each correction.
While this concept is actually theoretically possible and may be used in the far future it is currently impractical in reality.
We are just infants in our manned space program. We have a lot of evolving to do.