Figure $4$: Schematic for problem $5$

$5.[17$pts$]$ Air flows through a pipe at a rate of $120\frac{L}{s}.$ The pipe consists of two sections of diameters $22$ cm and $10$ cm with a reducing section that connects them. The pressure difference between the two pipe sections is measured by a water manometer. Take ${}_{\text{a}\text{i}\text{r}}=1\mathrm{.}20k\frac{g}{m^3},{}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=1000k\frac{g}{m^3}$ and

$()air.$

$($a$)6pts$ Neglecting frictional effects, determine the differential height of water between $(h)$ the two pipe sections.

$($b$)10pts$ If frictional effects are not neglected, what is the differential height of water

$5/10$

between the two pipe sections? Take the pipe to be made of drawn copper tubing and the distance between the contraction and the second manometer tube to be $L=15cm.$ The distance between the first manometer tube and the contraction is negligible.

IL$$ Im$3$

$\frac{1}{?}($c$)1pt$ Given your engineering expertise, is it valid to neglect frictional effects? Why or why not?