$6\mathrm{.}24$ To model the velocity distribution in the curved inlet section of a water channel, the radius of curvature of the streamlines is expressed as $R=L\frac{R_0}{2}y.$ As an approximation, assume the water speed along each streamline is $V=10\frac{m}{s}.$ Find an expression for and plot the pressure distribution from $y=0$ to the tunnel wall at $y=\frac{L}{2},$ if the centerline gage pressure is $50$kPa,$L=75mm,$ and $R_0=0\mathrm{.}2m.$ Find the value of $V$ for which the wall static pressure becomes $35$ kPa $.$