Question $2$:

A $6000m$ long pipeline connects two reservoirs open to the atmosphere. The elevation difference between the reservoirs is $75m.$ If the required flow in the pipeline is $1\mathrm{.}5\frac{m^3}{s}$ and the friction factor is $0\mathrm{.}025$ calculate the following. Assume $v=1\mathrm{.}2{10}^{-6}\frac{m^2}{s}.$ Neglect minor losses. $(25$ points$)$

$($a$)$ Calculate the diameter of the pipe up to three decimal places $(10$ points$)$

$($b$)$ Calculate the velocity in the pipe up to three decimal places $(4$ points$)$

$($c$)$ Calculate the friction loss up to two decimal places $(5$ points$)$

$($d$)$ Calculate the Reynolds number to the nearest thousand $(5$ points$)$

$($e$)$ Determine whether the flow is laminar or turbulent $(1$ point$)$