We've got access to a laser cutter, but I think the parts you're looking at are from Pumping Station One or I3Detroit:
http://wiki.pumpingstationone.org/Epilog_30w_Mini_24http://i3detroit.com/wi/index.php?title=Laser_CutterThey've got a list of materials/whatnot on there that they're able to destroy with their wattage. The laser I've used is 40W, it had trouble cutting through 1/4" plywood but would do it after two passes at full power. Make sure you aren't trying to cut polycarbonate, you also have to be using cast acrylic rather than extruded acrylic - from what I've been told you need to buy acrylic if you intend to cut it otherwise it's really hard to identify what kind it is.