$5$

$5-90.$ Water at a pressure of $90$ kPa and a velocity of $9\frac{m}{s}$ at A flows through the pipes. The pipe system starts with a pipe having an inlet diameter of $100$ mm with a length of $1\mathrm{.}5$ m $.$ The pipe is further attached to a bent of length $0\mathrm{.}3$ m and that bent is labeled $D.$ The pipe is further extended from D up to a length of $3$ m at an angle of $60$ degrees. A point $C$ is marked on this pipe and the distance from $D$ to $C$ is marked as $2$ m $.$ This pipe has a diameter of $150$ mm $.$ The end of the pipe is further attached to a bend labeled F and the pipe is further extended to the right for a length of $1$ meter with a diameter of $150$ mm and that pipe is labeled B$.$

Determine the velocity and the pressure at $C.$ Plot the pressure head and the gravitational head for $AB$ using a datum at $A.$