Not that it's pleasent, but yes it is totally normal. I am currently 6 months pregnant with my third child and have experienced it all three pregnencies. Your blood volume increases by 40% when your pregnant and your heart has to work twice as hard as it did before to get your blood pumped through your body efficiently. If you get up too fast, make sudden movements, or have prolonged activity you will have the dizziness and sweats. Be conscience of your movements and try to get up more slowly. The liklihood of you passing out is pretty low, but as I said before it's unpleasent and for many women scary. Try not to worry but contact your Dr. if you ever do pass out, experience any chest pain or pressure for this could be a sign of other problems. I was diagnosed with SVT during my last pregnancy, so just watch yourself and NEVER be afraid to call your Dr. and ask questions.