$6\mathrm{.}5.($Welty $6\mathrm{.}5,9pts)$ During the flow of $200f\frac{t^3}{s}$ of water through the hydraulic turbine shown below,

the pressure indicated by gauge A is $12$ psig $.$ What should gauge B read if the turbine is delivering $600$ hp

at $82\%$ efficiency? Gauge B is designed to measure the total pressure $($i$.$e$.$ stagnation pressure$)-$ that is$,$

$P+\frac{v^2}{2},$ for an incompressible fluid.

$6\mathrm{.}6.($Welty $6\mathrm{.}12,15pts)$ The pressurized tank shown has a circular cross section of $6$ ft in diameter. Oil is

drained through a nozzle of $2$ in diameter in the side of the tank. Assuming that the air pressure is

maintained constant, how long does it take to lower the oil surface in the tank by $2$ ft $?$ The specific

gravity of the oil in the tank is $0\mathrm{.}85,$ and that of mercury is $13\mathrm{.}6.$

$6\mathrm{.}7.($Welty $6\mathrm{.}31,15pts)($a$)$ Referring to the figure below, assume the flow to be frictionless in the

siphon, i$.$e the tube being used to drain the water from the cylindrical tank. Find the rate of discharge in

cubic feet per second, and the pressure head at $B$ if the tube has a uniform diameter of $1$ in $.$ How long will

it take for the water level to decrease by $3$ ft $?$ The tank diameter is $10$ ft $.$

$($b$)$ Find the rate of discharge if the frictional head loss in the tube is $3\mathrm{.}2\frac{v^2}{g}$ where $v$ is the flow

velocity in the tube.