The velocity through a pitot tube is measured by the following equation: 2gc(Ps - P) V = Gp P where v is the velocity (ft/s) Cp is the coefficient of velocity gc is Newton's conversion factor (32.2 ft.Ibm/Ibr.$2) P is the pressure (Ibr/ft2) Ps is the static pressure (Ibr/ft2) p is the fluid density (Ibm/ft3) a) Show that the above equation is dimensionally homogeneous. b) Convert the relationship to SI system, but do not convert gc