Water at $20$C $(=998\mathrm{.}2$ kg$/$m$3)$ flows through a $5$ cm diameter pipe that has

a vertical elbow of $180,$ as shown in the figure. The total length of the pipe between the flanges

$1$ and $2$ is $150$ cm$.$ When the weight flow is $260$ N$/$s$,$ p$1=185$ kPa and p$2=128$ kPa. Ignoring the

weight of the pipe, determine the total force that the flanges must resist for this flow.