A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? Number Units V1 202

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Chapter9: Fluids And Solids
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**Problem Statement:**
A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same?

**Diagram Explanation:**
The diagram consists of a bent pipe system. 

- **Horizontal Section 1:** 
  - Radius: \( r_1 = 0.0208 \) m
  - Velocity of the liquid: \( v_1 \)

- **Vertical Section:** 
  - Elevation height: \( h = 3.70 \) m

- **Horizontal Section 2:** 
  - Radius: \( r_2 = 0.0544 \) m
  - Velocity of the liquid: \( v_2 \)

- The liquid flows from left to right through the system, and the diagram indicates direction with arrows on each section of the pipe.
  
**Question:**
Determine the volume flow rate needed to ensure that the pressure in the two horizontal sections of the pipe remains the same.

**Input Fields:**

- **Number:** [Input Field]
- **Units:** [Dropdown Menu] 

Please select the appropriate units for expressing the flow rate.
Transcribed Image Text:**Problem Statement:** A liquid is flowing through a horizontal pipe whose radius is 0.0208 m. The pipe bends straight upward through a height of 3.70 m and joins another horizontal pipe whose radius is 0.0544 m. What volume flow rate will keep the pressures in the two horizontal pipes the same? **Diagram Explanation:** The diagram consists of a bent pipe system. - **Horizontal Section 1:** - Radius: \( r_1 = 0.0208 \) m - Velocity of the liquid: \( v_1 \) - **Vertical Section:** - Elevation height: \( h = 3.70 \) m - **Horizontal Section 2:** - Radius: \( r_2 = 0.0544 \) m - Velocity of the liquid: \( v_2 \) - The liquid flows from left to right through the system, and the diagram indicates direction with arrows on each section of the pipe. **Question:** Determine the volume flow rate needed to ensure that the pressure in the two horizontal sections of the pipe remains the same. **Input Fields:** - **Number:** [Input Field] - **Units:** [Dropdown Menu] Please select the appropriate units for expressing the flow rate.
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