how in Figure 1 is the water flow system. The velocity head difference is . Volume flow rate is . The heights are and , respectively. The power output from the motor is , . The energy added by the pump is . The energy loss between point 1 and 2 is . Calculate 4) the pressure head difference in meter_
how in Figure 1 is the water flow system. The velocity head difference is . Volume flow rate is . The heights are and , respectively. The power output from the motor is , . The energy added by the pump is . The energy loss between point 1 and 2 is . Calculate 4) the pressure head difference in meter_
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Show in Figure 1 is the water flow system. The velocity head difference is . Volume flow rate is . The heights are and , respectively. The power output from the motor is , . The energy added by the pump is . The energy loss between point 1 and 2 is .
Calculate 4) the pressure head difference in meter_________ m
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**Educational Content: Water Flow System Analysis**
In Figure 1, we are given a water flow system. For this system, several parameters are defined, and specific calculations need to be made:
1. **Velocity Head Difference:**
\[
\frac{v_1^2}{2g} - \frac{v_2^2}{2g} = 2.0 \, \text{m}
\]
2. **Volume Flow Rate:**
\[
Q = 0.5 \, \text{m}^3/\text{s}
\]
3. **Heights:**
\[
h_1 = 1.0 \, \text{m}
\]
\[
h_2 = 2.0 \, \text{m}
\]
4. **Power Output from the Motor:**
\[
P_0 = 7.848 \, \text{kW}
\]
5. **Motor Efficiency:**
\[
e_{\text{motor}} = 80\%
\]
6. **Energy Added by the Pump:**
\[
h_A = 3.0 \, \text{m}
\]
7. **Energy Loss Between Points 1 and 2:**
\[
h_L = 0.2 \, \text{m}
\]
**Calculation Task:**
4. Calculate the pressure head difference \(\frac{P_2 - P_1}{\gamma}\) in meters:
\[
P_2 - P_1 = \text{(in meter)} \, \text{____} \, \text{m}
\]
**Figure Explanation:**
In the provided schematic diagram:
- The system illustrates a flow from left to right, starting from the left with `Point 1`, then through a pump, a motor, a valve, and finally arriving at `Point 2`.
- **Heights:** \( h_1 \) and \( h_2 \) are indicated vertically from a base level to specific points in the diagram. \(h_1\) is associated with the output from the pump, and \(h_2\) is higher up in the system.
- **Motor and Valve:** The motor is depicted, indicating where energy is added to the system.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0daff6b4-7b3b-4798-aa81-781ef422795b%2Fe20a2e62-3374-4002-b78e-e764024efa0a%2Fcv3exlq_processed.png&w=3840&q=75)
Transcribed Image Text:---
**Educational Content: Water Flow System Analysis**
In Figure 1, we are given a water flow system. For this system, several parameters are defined, and specific calculations need to be made:
1. **Velocity Head Difference:**
\[
\frac{v_1^2}{2g} - \frac{v_2^2}{2g} = 2.0 \, \text{m}
\]
2. **Volume Flow Rate:**
\[
Q = 0.5 \, \text{m}^3/\text{s}
\]
3. **Heights:**
\[
h_1 = 1.0 \, \text{m}
\]
\[
h_2 = 2.0 \, \text{m}
\]
4. **Power Output from the Motor:**
\[
P_0 = 7.848 \, \text{kW}
\]
5. **Motor Efficiency:**
\[
e_{\text{motor}} = 80\%
\]
6. **Energy Added by the Pump:**
\[
h_A = 3.0 \, \text{m}
\]
7. **Energy Loss Between Points 1 and 2:**
\[
h_L = 0.2 \, \text{m}
\]
**Calculation Task:**
4. Calculate the pressure head difference \(\frac{P_2 - P_1}{\gamma}\) in meters:
\[
P_2 - P_1 = \text{(in meter)} \, \text{____} \, \text{m}
\]
**Figure Explanation:**
In the provided schematic diagram:
- The system illustrates a flow from left to right, starting from the left with `Point 1`, then through a pump, a motor, a valve, and finally arriving at `Point 2`.
- **Heights:** \( h_1 \) and \( h_2 \) are indicated vertically from a base level to specific points in the diagram. \(h_1\) is associated with the output from the pump, and \(h_2\) is higher up in the system.
- **Motor and Valve:** The motor is depicted, indicating where energy is added to the system.
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