Question $1(5$ points$)$

This problem is related to analyzing pipe flow for the below diagram, where flow is

inside the pipe at the bottom and exits to the atmosphere at B$.$

A fluid flows through a $200$ mm pipe with a velocity of $1\mathrm{.}41$ m$/$s $.$ At the point$$P before the bend where the green arrow indicates the direction of flow, the fluid is still inside the pipe. After going through the bend at A$,$ it then goes up the $10\mathrm{.}3$ m riser and exits to the atmosphere at B$.$ Given that the density of the fluid is $800$ kg$/$m$3$ and the dynamic viscosity of the fluid is $0\mathrm{.}25$ kg$/($m$-$s$),$ determine the gage pressure at point$$P if the total distance between P and B is $14\mathrm{.}8$ m$.$