Additional Problem $1.$

Water flows through the pipe contraction shown below.

a$)$ Is the water accelerating, decelerating, and maintaining the same speed as it flows into

and through the region labeled with diameter $D?$ Explain how you know.

b$)$ Why is the manometer level higher in the second manometer?

c$)$ Derive an equation to infer the flow rate $Q$ based on a known difference in manometer

level, $h,$ and any other relevant parameters. Assume inviscid, incompressible, steady

flow.

d$)$ Estimate $Q($to $1$ significant digit$)$ assuming $h=0\mathrm{.}2m,D_1=0\mathrm{.}1m,$ and $D=0\mathrm{.}05m.$