After completing your physics class, you are hired to help design a cigar lounge in a nightclub. The ventilation system is critical to this design, as it must circulate all the air in the room every 27 min to filter and purify it, respecting national health regulations. The ventilation ducts you will use have a square cross-section. If the lounge has a volume of 184 m3, and the fans pushing the air give you an airspeed of 3.9 m/s inside the ducts, what must be the minimum length of one side of the square duct? Assume that air can be treated as an incompressible fluid. Give your answer in metres

After completing your physics class, you are hired to help design a cigar lounge in a nightclub. The ventilation system is critical to this design, as it must circulate all the air in the room every 27 min to filter and purify it, respecting national health regulations. The ventilation ducts you will use have a square cross-section. If the lounge has a volume of 184 m3, and the fans pushing the air give you an airspeed of 3.9 m/s inside the ducts, what must be the minimum length of one side of the square duct? Assume that air can be treated as an incompressible fluid. Give your answer in metres