A 3-hp prototype water pump is designed to deliver a total head of 140 ft at a discharge of 42 US gpm. The diameter of the prototype pump impeller blades is 8.5 in with an impeller rotational speed of 1750 rpm. A smaller model water pump of the prototype water pump is designed in order to study the flow characteristics of the flow through a pump. The model scale is 0.4. (a) Design a homologous model water pump. (b) Determine if the resulting designed model is a true model or a distorted model.