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 3.08 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 3.08 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 image illustrates a water distribution system with two houses labeled A and B. 

- The system features a large, elevated water tank, depicted as a blue sphere. This tank is equipped with a vent at the top for air release and pressure regulation.
- The height of the water column in the tank is marked as 15.0 meters from the base of the tank to the outlet pipe level.
- House A is situated at the same horizontal level as the outlet pipe from the tank.
- House B is at a slightly higher elevation, with a vertical difference of 7.30 meters from the water main.
- Water flows from the tank to the houses through a series of pipes. Faucets are located at each house for water access.

This setup demonstrates the principles of gravity-fed water systems, utilizing elevation differences to maintain water pressure and flow.
Transcribed Image Text:The image illustrates a water distribution system with two houses labeled A and B. - The system features a large, elevated water tank, depicted as a blue sphere. This tank is equipped with a vent at the top for air release and pressure regulation. - The height of the water column in the tank is marked as 15.0 meters from the base of the tank to the outlet pipe level. - House A is situated at the same horizontal level as the outlet pipe from the tank. - House B is at a slightly higher elevation, with a vertical difference of 7.30 meters from the water main. - Water flows from the tank to the houses through a series of pipes. Faucets are located at each house for water access. This setup demonstrates the principles of gravity-fed water systems, utilizing elevation differences to maintain water pressure and flow.
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