A system for removing dust generated by rotary hand tools such as grinders and sanders. A shroud is installed over the grinding or sanding head in communication with a vacuum exhaust system to draw away dust, chips and the like. The shroud includes a generally circular base having a peripheral skirt on one side to surround the grinding or sanding disc and a collar arrangement on the other for attachment to a cylindrical tool housing. The collar may be an axial partial tube section that is clamped to the housing. Collar flexibility allows use with housings over a range of housing diameters. Alternatively, the collar may be one or more brackets slidably mounted on the base. The brackets are adjusted to contact the housing and are clamped to the housing and, if necessary, are fastened to the base. Removable and adjustable exhaust tubes are provided to accommodate different desired vacuum hose directions and different vacuum hose diameters.