A single pump and system have characteristics as shown on the graph below. Based on this information, estimate: (a) The flow rate with one pump online. (b) The flow rate if the pump's speed is doubled (c) The flow rate of two identical pumps operating in parallel (original pump speeds) (d) The flow rate of two identical pumps operating in series (original pump speed) (e) The flow rate if the system's static head doubles (f) Pump head (original system) if a valve is opened until the flow rate is 5.5 cfs 350 300 250 200 150 100 50 6 8 10 12 Flow Rate (cfs) -hp(req) - hp(avai) (4) peaH

Elements Of Electromagnetics
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ChapterMA: Math Assessment
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A single pump and system have characteristics as shown on the graph below. Based on this information, estimate:

(a) The flow rate with one pump online.  
(b) The flow rate if the pump’s speed is doubled.  
(c) The flow rate of two identical pumps operating in parallel (original pump speeds).  
(d) The flow rate of two identical pumps operating in series (original pump speed).  
(e) The flow rate if the system’s static head doubles.  
(f) Pump head (original system) if a valve is opened until the flow rate is 5.5 cfs.

### Graph Explanation:

The graph below illustrates the relationship between flow rate and head for a pump system. 

- **X-axis:** Represents the flow rate in cubic feet per second (cfs), ranging from 0 to 12.
- **Y-axis:** Represents the head in feet, ranging from 0 to 350.

Two curves are shown:

1. **Blue Curve (hp(req)):** This indicates the required pump head as a function of flow rate. It starts at 0 and increases sharply, following an exponential pattern.
2. **Red Curve (hp(avail)):** This shows the available pump head. It begins around 50 feet and initially remains constant before gradually decreasing after a certain point.

These curves help analyze the system's performance under different conditions as mentioned in the tasks.
Transcribed Image Text:A single pump and system have characteristics as shown on the graph below. Based on this information, estimate: (a) The flow rate with one pump online. (b) The flow rate if the pump’s speed is doubled. (c) The flow rate of two identical pumps operating in parallel (original pump speeds). (d) The flow rate of two identical pumps operating in series (original pump speed). (e) The flow rate if the system’s static head doubles. (f) Pump head (original system) if a valve is opened until the flow rate is 5.5 cfs. ### Graph Explanation: The graph below illustrates the relationship between flow rate and head for a pump system. - **X-axis:** Represents the flow rate in cubic feet per second (cfs), ranging from 0 to 12. - **Y-axis:** Represents the head in feet, ranging from 0 to 350. Two curves are shown: 1. **Blue Curve (hp(req)):** This indicates the required pump head as a function of flow rate. It starts at 0 and increases sharply, following an exponential pattern. 2. **Red Curve (hp(avail)):** This shows the available pump head. It begins around 50 feet and initially remains constant before gradually decreasing after a certain point. These curves help analyze the system's performance under different conditions as mentioned in the tasks.
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