Originally Posted by
Michael W. Clark
Carl, I agree. It does depend on the boundry. My comment to the OP, was that it is expected that the motor will heat the space based on its inefficiencies. Especially a small DC closet. My concern is the assumption that 5HP worth of heat is being added to the shop. There is a fundamental difference between energy, work, and heat, however they are related by the 1st Law of Thermo.
If you draw the boundary around the shop and the shop is insulated (no temperature interchange between it and the surroundings), then the energy put in, electrically, increases the energy in the shop (system).
If you draw the boundry around the motor, elctrical energy in, heat out (inefficiency), and shaft work out.
If you draw the boundry around the air in the shop, the fan puts energy into the air (system) and the system energy increases, and I think we all agree on that? The question is whether this energy increase is all heat or part heat and part work. Heat causes a temperature difference, work causes something to happen. If you assume all heat, then that would ignore the kinetic/potential energy of the air movement.
Mike