$(25$ pts$.)$ Neglecting any pressure drop in this water tunnel experiment $(U=1\mathrm{.}5\frac{m}{s})$ between sections $1$ and $2,$ a wake measurement is approximated as a linear distribution as shown over an oblong cylinder $(60$ cm width$).($a$)$ Sketch a control volume with incoming height H that follows streamlines to the edge of the wake. If L$=5cm,$ solve for H $.($b$)$ Calculate the drag on the cylinder. $($c$)$ Predict the drag force in air for a cylinder with an increase in length by a ratio of $4($i$.$e$.L=20cm)$ for flow similarity. Note between $y=0($centerline$)$ and $y=L$ the equation $u=\frac{U}{2}(1+\frac{y}{L})$

gives the velocity profile.