Question $1$: Pipe Flow to Freefall $($find Q$)$

Water flows steadily within the pipe at constant density $\backslash$rho $=998\mathrm{.}2$k$($g$)/($m$^(3)).$ Three locations are marked on the pipe. Location $1$ is at

the beginning of the straight pipe segment. Location $2$ is at the end of the straight pipe segment and the beginning of the elbow.

Location $3$ is at the end of the elbow. After location $3,$ the water is a fountain in the atmosphere in freefall. The straight pipe

segment has:

inner diameter: D$=0\mathrm{.}05$m

length: L$=1\mathrm{.}21$m

friction factor: f$=0\mathrm{.}08.$

The elbow inside the CV has:

inner diameter: D$=0\mathrm{.}05$m $($same as straight pipe segment$)$

height: H$=0\mathrm{.}02$m

loss coefficient: K$\_($L$)=0\mathrm{.}4.$

Velocities are approximately uniform over A$\_(1),$A$\_(2),$ and A$\_(3).$ If P$\_(1)=2$kPa, calculate the flow rate Q $.$

Q$=$

liter$($s$)/($second$)$