Water at $40C$ flows at $2\mathrm{.}8\frac{m}{s}$ through the $20-mm-$diameter copper pipe at $A$ as shown in $($Figure $1).$ As the water is flowing, it emerges from the showerhead that consists of $100$ holes, each having a diameter of $1\mathrm{.}5$ mm $.$ The minor loss coefficient is $K_L=0\mathrm{.}45$ for the showerhead. Also account for the minor loss in the three elbows, the fully opened gate valve at $E,$ and the tee. The gate valve at $B$ is closed. For the copper pipe take $f=0\mathrm{.}016.$ Assume that fully developed steady flow occurs, and water is incompressible.

Part A

Determine the pressure of water at $A.$

Express your answer to three significant figures and include the appropriate units.

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Figure

$1$ of $1$

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