3. As shown in the figure, water flows steadily from a tank with a very large cross-sectional area that is open to the atmosphere. The elevation of point 1 is 10 meters above the ground, and the elevation of points 2 and 3 is 2 meters above the ground. The cross-sectional area at point 2 is 0.0360 m²; at point 3, where the water is discharged, it is 0.0180 m². What is the absolute pressure in the fluid at point 2? a) 1.34 atm b) 1.47 atm c) 1.58 atm d) 1.67 atm e) 1.73 atm 10.0 m K 2.00 m

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**Fluid Dynamics Problem: Pressure Calculation**

**Problem Statement:**

3. As shown in the figure, water flows steadily from a tank with a very large cross-sectional area that is open to the atmosphere. The elevation of point 1 is 10 meters above the ground, and the elevation of points 2 and 3 is 2 meters above the ground. The cross-sectional area at point 2 is 0.0360 m²; at point 3, where the water is discharged, it is 0.0180 m². What is the absolute pressure in the fluid at point 2?

**Options:**
a) 1.34 atm  
b) 1.47 atm  
c) 1.58 atm  
d) 1.67 atm  
e) 1.73 atm 

**Diagram Explanation:**

The diagram associated with the problem shows a side view of a water tank elevated 10.0 meters above the ground. The tank is open to the atmosphere. Water flows out of the tank through a pipe, which branches out. The initial branch point (Point 2) is located 2.0 meters above the ground, and the discharge point (Point 3) is also 2.0 meters above the ground. The cross-sectional area at Point 2 is 0.0360 m², whereas the cross-sectional area at the discharge point (Point 3) is 0.0180 m². Annotations in the diagram highlight the heights and cross-sectional areas.

**Key Elements for Understanding:**

- **Point 1:** Located within the tank, 10 meters above the ground.
- **Point 2:** Located at the first branch of the pipe, 2 meters above the ground, with a cross-sectional area of 0.0360 m².
- **Point 3:** Discharge point, also 2 meters above the ground, with a cross-sectional area of 0.0180 m².

This setup is used to determine the absolute pressure in the fluid at Point 2 using principles of fluid dynamics, such as Bernoulli’s equation and the continuity equation.

---

Note: The pressure must be expressed in absolute terms, taking into account atmospheric pressure, which typically needs to be added to the gauge pressure calculation. The problem is designed for a higher-level physics or engineering class, involving fluid statics and dynamics concepts.
Transcribed Image Text:**Fluid Dynamics Problem: Pressure Calculation** **Problem Statement:** 3. As shown in the figure, water flows steadily from a tank with a very large cross-sectional area that is open to the atmosphere. The elevation of point 1 is 10 meters above the ground, and the elevation of points 2 and 3 is 2 meters above the ground. The cross-sectional area at point 2 is 0.0360 m²; at point 3, where the water is discharged, it is 0.0180 m². What is the absolute pressure in the fluid at point 2? **Options:** a) 1.34 atm b) 1.47 atm c) 1.58 atm d) 1.67 atm e) 1.73 atm **Diagram Explanation:** The diagram associated with the problem shows a side view of a water tank elevated 10.0 meters above the ground. The tank is open to the atmosphere. Water flows out of the tank through a pipe, which branches out. The initial branch point (Point 2) is located 2.0 meters above the ground, and the discharge point (Point 3) is also 2.0 meters above the ground. The cross-sectional area at Point 2 is 0.0360 m², whereas the cross-sectional area at the discharge point (Point 3) is 0.0180 m². Annotations in the diagram highlight the heights and cross-sectional areas. **Key Elements for Understanding:** - **Point 1:** Located within the tank, 10 meters above the ground. - **Point 2:** Located at the first branch of the pipe, 2 meters above the ground, with a cross-sectional area of 0.0360 m². - **Point 3:** Discharge point, also 2 meters above the ground, with a cross-sectional area of 0.0180 m². This setup is used to determine the absolute pressure in the fluid at Point 2 using principles of fluid dynamics, such as Bernoulli’s equation and the continuity equation. --- Note: The pressure must be expressed in absolute terms, taking into account atmospheric pressure, which typically needs to be added to the gauge pressure calculation. The problem is designed for a higher-level physics or engineering class, involving fluid statics and dynamics concepts.
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