5. Bernoulli II. The fresh water behind a reservoir dam is 15.2 m deep. A horizontal pipe 4.30 cm in diameter passes through the dam 6.15 m below the water surface, as shown in the figure. A plug secures the pipe opening. The plug is removed. What volume of water flows out of the pipe in 3 hours? 6.15 m 15.2 m
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![**5. Bernoulli II.** The fresh water behind a reservoir dam is 15.2 m deep. A horizontal pipe 4.30 cm in diameter passes through the dam 6.15 m below the water surface, as shown in the figure. A plug secures the pipe opening. The plug is removed. What volume of water flows out of the pipe in 3 hours?
**Diagram Explanation:**
The diagram illustrates a cross-section of a reservoir with a dam. It includes:
- The dam on the right side holding back a body of water.
- A horizontal pipe running through the dam, with a diameter of 4.30 cm.
- The water surface is indicated at the top of the reservoir.
- The depth from the water surface to the bottom of the dam is marked as 15.2 m.
- The distance from the water surface to the pipe is labeled as 6.15 m.
- The pipe is initially plugged at its opening outside the dam.
The diagram visually represents the scenario described in the text, highlighting the important measurements necessary to solve the problem using Bernoulli's principle and fluid dynamics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e989a36-a976-4f9a-8f93-2801096d9bdd%2F5c879d11-3b14-4cc1-86c8-0eae2f9a1310%2Fy3tqqp_processed.png&w=3840&q=75)
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First, calculate the speed at which water streams out through the pipe.
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