Answer:
Impeller diameter should be 0.02 meter
Step-by-step explanation:
The Impeller diameter is a parameter with a circular design of a high speed pump. The performance of the pump depends on this parameter.
As per the given data
Speed of pump = 3,560 rpm
Rate of water flow = 500 gpm = 0.0005 m^3/minutes
Size of head = 250 ft = 250 ft x 0.3048 m/ft = 76.2 m
The impeller diameter can be calculated using following formula
Impeller diameter =0.1 x
![√(Water flow rate X 60)](https://img.qammunity.org/2021/formulas/engineering/college/m2hf29a0x8c597rhlgzqk01vlg62ktvgbn.png)
Impeller diameter =0.1 x
![√(0.0005 X 60)](https://img.qammunity.org/2021/formulas/engineering/college/o44pdjcv294yl9kg3r7l758fojq1a5x8vd.png)
Impeller diameter =0.1 x
![√(0.03)](https://img.qammunity.org/2021/formulas/mathematics/college/erz8paqx4u7vap2utq418ycix3p27zkrd7.png)
Impeller diameter = 0.1 x 0.1732
Impeller diameter = 0.01732
Impeller diameter = 0.02 m