Air is flowing through a venturi meter whose diameter is 2.6 in at the entrance part(location 1) and 1.8 in at the throat (location 2). The gage pressure is measured to be12.2 psia at the entrance and 11.8 psia at the throat. Neglecting frictional effects, show that the volume flow rate can be expressed as \dot{\boldsymbol{V}}=A_{2} \sqrt{\frac{2\left(P_{1}-P_{2}\right)}{\rho\left[1-\left(A_{2}^{2} / A_{1}^{2}\right)\right]}} and determine the flow rate of air. Take the air density to be 0.075 Ibm/ft.