In flat areas, water towers are used to supply water to houses. Water is pumped into the tower, and then directed from the tower to houses so that when people turn the water on there is water pressure. The top of the tower is vented to the atmosphere. (a) What is the gauge pressure (total pressure minus atmospheric pressure) at each of the two houses? (in Bernoulli's equation, if the water is not running, you can set v = 0 on both sides, and the external pressure in the water tower is just atmospheric pressure). (b) If a faucet is circular with diameter of 2.0 cm, what is the velocity of the water in each house? You can assume that the velocity of water within the tower is negligible.

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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**Title: Water Tower Pressure and Flow Dynamics**

**Introduction:**
In flat areas, water towers are used to supply water to houses. Water is pumped into the tower and then directed from the tower to houses so that when people turn the water on there is water pressure. The top of the tower is vented to the atmosphere.

**Problem Statement:**

(a) What is the gauge pressure (total pressure minus atmospheric pressure) at each of the two houses? (In Bernoulli's equation, if the water is not running, you can set \( v = 0 \) on both sides, and the external pressure in the water tower is just atmospheric pressure).

(b) If a faucet is circular with a diameter of 2.0 cm, what is the velocity of the water in each house? You can assume that the velocity of water within the tower is negligible.

**Diagram Explanation:**

The diagram illustrates a water tower connected to two houses, labeled A and B. The water tower is vented to the atmosphere, and its height is specified as 15.0 meters. House A and House B have faucets connected to the water line.

- **House A**: Positioned on the right side of the tower; the pipe running to it descends to the same ground level as the tower.
  
- **House B**: Positioned on the left side of the tower; the pipe running to it descends lower by an additional 7.30 meters from the base of the water tower.

The diagram helps in visualizing the flow of water and the pressure dynamics at play, essential for solving the problem statement.
Transcribed Image Text:**Title: Water Tower Pressure and Flow Dynamics** **Introduction:** In flat areas, water towers are used to supply water to houses. Water is pumped into the tower and then directed from the tower to houses so that when people turn the water on there is water pressure. The top of the tower is vented to the atmosphere. **Problem Statement:** (a) What is the gauge pressure (total pressure minus atmospheric pressure) at each of the two houses? (In Bernoulli's equation, if the water is not running, you can set \( v = 0 \) on both sides, and the external pressure in the water tower is just atmospheric pressure). (b) If a faucet is circular with a diameter of 2.0 cm, what is the velocity of the water in each house? You can assume that the velocity of water within the tower is negligible. **Diagram Explanation:** The diagram illustrates a water tower connected to two houses, labeled A and B. The water tower is vented to the atmosphere, and its height is specified as 15.0 meters. House A and House B have faucets connected to the water line. - **House A**: Positioned on the right side of the tower; the pipe running to it descends to the same ground level as the tower. - **House B**: Positioned on the left side of the tower; the pipe running to it descends lower by an additional 7.30 meters from the base of the water tower. The diagram helps in visualizing the flow of water and the pressure dynamics at play, essential for solving the problem statement.
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