How does hose size relate to the size of the vacuum?
Some vacuums (Roots) need to get a certain amount of air to keep the rotors cool. The type of material that you are moving needs a certain velocity of air to keep it moving. The bigger the vacuum, the bigger the hose that is required to feed the air to the vacuum. The bigger the hose, the harder it is to handle. If you purchase a big vacuum and connect a small hose to it, you will restrict the flow of air, which causes increased friction, which will slow down the flow of air, which will cause the vacuum to run hotter.