The consistency of the paint should be that of 2% skim milk, which is thinner than you think! I usually spray between 15 and 20 psi.
One other thing that might be messing you up: if there was any enamel, solvent based paint or lacquer, or thinner in the airbrush when you first started, that will have caused a nasty clog the instant it encountered the acrylic paint. You might want to thoroughly clean (disassemble) the airbrush before you try again. I've heard that some people use a separate airbrush for acrylics and organic solvent systems, though I do not.