Gasoline at $20C(=680\frac{kg}{m^3}$;$=0\mathrm{.}29{10}^{-3}(N)\frac{s}{m^2})$ flows in a

$3\mathrm{.}75m$ diameter horizontal plastic pipe

$($absolute pipe roughness, $=0mm).$

The pressure at point $1$ is $33{10}^5\frac{N}{m^2},$ the major head loss due to

the pipe friction is $34m,$ and the pipe length between points $1$ and $2$

is $2200m.$

Assume the Darcy$-$Weisbach friction factor is chosen to model the flow

resistance.

$g=9\mathrm{.}81\frac{m}{s^2}$

$($a$)$ Determine velocity at either point $1$ or $2.$

$($b$)$ Determine the flow regime.

$($c$)$ Determine the pressure drop between points $1$ and $2$ due to the pipe

friction $($flow resistance$)$ between points $1$ and $2.$