A pipe system takes water from a pool and

circulates it through a filter using a pump. Answer

the following assuming the pipe has a relative

roughness, $lo\frac{n}{D}=0\mathrm{.}008,$ the diameter of the

pipe is $D=2\mathrm{.}09[$cm$],$ the total length of pipe is

$L=88[m],$ and the loss coefficients are

$K_{\text{e}\text{l}\text{b}\text{o}\text{w}}=1\mathrm{.}5,K_{\text{e}\text{n}\text{t}}=0\mathrm{.}8,K_{\text{e}\text{x}\text{i}\text{t}}=1,$

$K_{\text{v}\text{a}\text{l}\text{v}\text{e}}=7\mathrm{.}9,$ and $K_{\text{f}\text{i}\text{l}\text{t}\text{e}\text{r}}=29.$

The pump that is attached has a linear

manufacturer's curve of:

$h_{\text{p}\text{u}\text{m}\text{p}}=-117Q+31\mathrm{.}3$

What will be the velocity of the water in the pipe?