A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 5.04 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes.

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Chapter1: Units, Trigonometry. And Vectors
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A water tower is a familiar sight in many towns. The purpose of such a tower is to provide storage capacity and to provide sufficient pressure in the pipes that deliver the water to customers. The drawing shows a spherical reservoir that contains 5.04 x 105 kg of water when full. The reservoir is vented to the atmosphere at the top. For a full reservoir, find the gauge pressure that the water has at the faucet in (a) house A and (b) house B. Ignore the diameter of the delivery pipes.

The diagram illustrates a water distribution system featuring a water tower and two houses labeled A and B. 

**Components and Measurements:**

1. **Water Tower:**
   - The tower is topped with a large water tank, which has a vent on the top to release air pressure and maintain atmospheric pressure inside the tank.
   - The height of the water surface in the tank from the base is noted as **15.0 meters**.

2. **Pipeline Network:**
   - Two pipelines emerge from the base of the water tower, extending towards houses A and B, signifying the distribution of water from the main supply.
   - House A is directly connected to the water tower with a straight pipeline.
   - The pipeline extending to House B is shown bent and elevated slightly before reaching the house.

3. **Houses:**
   - **House A:** 
     - The pipeline leads directly from the tower to the faucet at House A. 
   - **House B:** 
     - As the pipeline approaches House B, it passes underground, then rises to an elevation of **7.30 meters**, likely representing the height difference the water must overcome to reach this faucet.

This graphic effectively demonstrates a typical residential water delivery system, emphasizing the role of gravitational force in distributing water from a central elevated source to multiple endpoints.
Transcribed Image Text:The diagram illustrates a water distribution system featuring a water tower and two houses labeled A and B. **Components and Measurements:** 1. **Water Tower:** - The tower is topped with a large water tank, which has a vent on the top to release air pressure and maintain atmospheric pressure inside the tank. - The height of the water surface in the tank from the base is noted as **15.0 meters**. 2. **Pipeline Network:** - Two pipelines emerge from the base of the water tower, extending towards houses A and B, signifying the distribution of water from the main supply. - House A is directly connected to the water tower with a straight pipeline. - The pipeline extending to House B is shown bent and elevated slightly before reaching the house. 3. **Houses:** - **House A:** - The pipeline leads directly from the tower to the faucet at House A. - **House B:** - As the pipeline approaches House B, it passes underground, then rises to an elevation of **7.30 meters**, likely representing the height difference the water must overcome to reach this faucet. This graphic effectively demonstrates a typical residential water delivery system, emphasizing the role of gravitational force in distributing water from a central elevated source to multiple endpoints.
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