For the model pump below (impeller size: 37.1 cm; shaft speed: 2133.5 rpm), if it is operated to achieve a pump efficiency of 60% at a discharge within the range between 0 and 0.25 m³/s, using a shaft speed of 1800 rpm instead, what will most approximately be the power coefficient? Assume water density 1000 kg/m³.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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For the model pump below (impeller size: 37.1 cm; shaft speed: 2133.5 rpm), if it is operated to achieve a pump efficiency of 60% at a discharge within the range between 0 and 0.25 m³/s, using a shaft speed of 1800 rpm instead, what will most approximately be the power coefficient? Assume water density 1000 kg/m³.

![Graph](image)

**Graph Explanation:**

The graph provided illustrates the relationship between discharge (x-axis, ranging from 0 to 0.25 m³/s) and three parameters: head (solid blue line), power input (dashed blue line), and efficiency (dot-dashed line). 

- The left y-axis measures head in meters and power in kW.
- The right y-axis measures efficiency in percentage.

Key points from the graph:
- The head decreases as discharge increases.
- The power input initially increases with discharge.
- The efficiency curve initially rises to a peak before declining.

The annotations indicate:
- \(N = 2133.5 \, \text{rpm}\)
- \(\eta = 36.5 \, \%\)
- \(D = 37.1 \, \text{cm}\)

**Options:**

- ○ 0.69
- ○ 0.73
- ○ 0.88
- ○ 0.52
Transcribed Image Text:For the model pump below (impeller size: 37.1 cm; shaft speed: 2133.5 rpm), if it is operated to achieve a pump efficiency of 60% at a discharge within the range between 0 and 0.25 m³/s, using a shaft speed of 1800 rpm instead, what will most approximately be the power coefficient? Assume water density 1000 kg/m³. ![Graph](image) **Graph Explanation:** The graph provided illustrates the relationship between discharge (x-axis, ranging from 0 to 0.25 m³/s) and three parameters: head (solid blue line), power input (dashed blue line), and efficiency (dot-dashed line). - The left y-axis measures head in meters and power in kW. - The right y-axis measures efficiency in percentage. Key points from the graph: - The head decreases as discharge increases. - The power input initially increases with discharge. - The efficiency curve initially rises to a peak before declining. The annotations indicate: - \(N = 2133.5 \, \text{rpm}\) - \(\eta = 36.5 \, \%\) - \(D = 37.1 \, \text{cm}\) **Options:** - ○ 0.69 - ○ 0.73 - ○ 0.88 - ○ 0.52
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