The pressure rise, \(\Delta p\), of a liquid flowing steadily through a centrifugal pump depends on pump diameter \(D\), angular speed of the rotor \(\omega\), volume flow rate \(Q\), and density \(ho\). The table gives data for the prototype and for a geometrically similar model pump. For conditions corresponding to dynamic similarity between the model and prototype pumps, calculate the missing values in the table.

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Variable Q D Prototype 52.5 kPa 800 kg/m 183 rad/s 150 mm Model 0.0928 m/min 999 kg/m 367 rad/s 50 mm