$14\mathrm{.}1$ The axial$-$flow pump in the figure has an impeller that is rotating at $150$rad$/$s$.$ The blades are $50$ mm long and are fixed to the $50-mm-$diameter shaft. If the pump produces a flow of $0\mathrm{.}06\frac{m^3}{s},$ and the head blade angle is ${}_1=30,$ determine the velocity of the water when it is just on the blade. The average cross$-$sectional area of the open region within the impeller is $0\mathrm{.}02m^2.$