Question $2$

Air is flowing through a venturi meter whose diameter is $2\mathrm{.}6$ in at the entrance part $($location $1)$ and $1\mathrm{.}8$ in at the throat $($location $2)$ in Figure $2.$ The gage pressure is measured to be $13$ psia at the entrance and $12$ psia at the throat.

a$)$ Neglecting frictional effects, show that the volume flow rate can be expressed as

$V=A_2(\frac{?}{\text{b}\text{a}\text{r}}(2P_1-P_1))$

Equation $1$

b$)$ Determine the flow rate of air. Take the air density to be $0\mathrm{.}075Ib\frac{m}{f}{t}^3$

Figure $2$