2 (35pts) A rectangular HVAC duct has two identical, circular branch ducts feeding registers mounted in the floor above. The adjustable floor dampers can be used to increase the pressure drop in a branch in order to balance the flow rate across multiple branches. Referring to the figure below for dimensions, determine the added pressure required at vent \#1 to produce equal airflow through vent \#1 and vent \#2. The airflow enters the rectangular duct at a rate of 0.05m3/s(100CFM), at a density of 1.2kg/m3 and with viscosity of 1.5105 Pa s