$(25$ pts $)$ A tank sitting high is connected to a length of $4-$mm diameter tubing as shown in the figure below. The liquid has a viscosity of $0\mathrm{.}015N*\frac{s}{m^2},$ a density of $1200k\frac{g}{m^3}$ and discharges into the atmosphere with a mean velocity of $1\frac{m}{s}.$ The flow is fully developed in the last $8$ m of the tube. $($a$)$ What is the pressure at the pressure gage? $($b$)$ What is the magnitude of the wall shearing stress, ${}_{r,},$ in the fully developed region? $($c$)$ What is the magnitude of the shearing stress at the centerline of the pipe? $($d$)$ What is the maximum velocity in the fully developed region?