This 1:12 pump model using water at \(15^{\circ} \mathrm{C}\) simulates a prototype for pumping oil of specific gravity 0.90 . The input to the model is \(0.522 \mathrm{~kW}\). Calculate the viscosity of the oil and the prototype power for complete dynamic similarity between model and prototype.

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3 m Q = 0.014 m/s 75 mm d 100 mm d P7.44