To model the velocity distribution in the curved inlet section of a water channel, the radius of curvature of the streamlines is expressed as \(R=L R_{0} / 2 y\). As an approximation, assume the water speed along each streamline is \(V=10 \mathrm{~m} / \mathrm{s}\). Find an expression for and plot the pressure distribution from \(y=0\) to the tunnel wall at \(y=L / 2\), if the centerline gage pressure is \(50 \mathrm{kPa}, L=75 \mathrm{~mm}\), and \(R_{0}=0.2 \mathrm{~m}\). Find the value of \(V\) for which the wall static pressure becomes \(35 \mathrm{kPa}\).

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R Ro P6.24 L 2