Water is pumped from che large tank shown in the igure. The loss in the piping is equal to 2V2 - note that this oss is in units of m?/s? = J/kg. 4 m The pump power is Wpur 40,000 Q – 400,000Q³, where Wump is in Watts and Q s in m³/s a.) Determine the flowrate. p.) Determine the pressure increase across the %3D dшnd, Pump ритр Pipe area = 0.01 m? pump ) Determine the flowrate if the loss was the same but the nump is not installed

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Water is pumped from the large tank shown in the figure. The loss in the piping is equal to 2V² – note that this loss is in units of m²/s² = J/kg. The pump power is \( \dot{W}_{pump} = 40,000 \, Q - 400,000 Q^3 \), where \( \dot{W}_{pump} \) is in Watts and Q is in m³/s.

a.) Determine the flow rate.
b.) Determine the pressure increase across the pump.
c.) Determine the flow rate if the loss was the same, but the pump is not installed.

**Diagram Explanation:**

- The diagram shows a large tank with water at a certain level.
- Water is drawn from the bottom of this tank and moves through a pipe with an area of 0.01 m².
- The pipe has a pump to assist in moving the water.
- The height from the water surface in the tank to the pipe inlet is labeled as 4 meters.
- Arrows indicate the direction of water flow, and the symbol Q represents the flow rate.
Transcribed Image Text:Water is pumped from the large tank shown in the figure. The loss in the piping is equal to 2V² – note that this loss is in units of m²/s² = J/kg. The pump power is \( \dot{W}_{pump} = 40,000 \, Q - 400,000 Q^3 \), where \( \dot{W}_{pump} \) is in Watts and Q is in m³/s. a.) Determine the flow rate. b.) Determine the pressure increase across the pump. c.) Determine the flow rate if the loss was the same, but the pump is not installed. **Diagram Explanation:** - The diagram shows a large tank with water at a certain level. - Water is drawn from the bottom of this tank and moves through a pipe with an area of 0.01 m². - The pipe has a pump to assist in moving the water. - The height from the water surface in the tank to the pipe inlet is labeled as 4 meters. - Arrows indicate the direction of water flow, and the symbol Q represents the flow rate.
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