Exercise

The model designed to study the prototype of a hydraulic machine must, be geometrically similar; $2.$ have the same discharge coefficient defined as $\frac{{?}^Q}{A\sqrt[\phantom{2}]{2gH}}$ and have the same ratio of peripheral speed to the water$-$discharge velocity $w\frac{D}{\frac{Q}{A}}.$ Determine the scale ratios in terms of discharge $($Q$),$ head $(H),$ diameter $($D$),$ and rotational angular $.$