For modeling and calculation purposes, architects treat air as an incompressible fluid. As an architect's intern, you are doing the specs on a dorm air conditioning system that is designed to replace the air in each room every twenty-two minutes. If the rooms each have a volume of 115 m3 and they are supplied by ducts with a square cross section, determine the following.
(a) the length of each side of a duct if the air speed in the duct is to be 2.4 m/s
(b) the length of each side of a duct if the air speed at the duct is to be a value twice this speed.