How Does the Continuity Equation Apply to Changing Water Flow in Pipes?

In summary, the relationship between proportions and water flow is that the amount of water flowing through a system is directly proportional to the size of the opening through which it flows. The proportion of water flowing through a system can be calculated using a simple formula: Flow rate = Area x Velocity. There are several factors that can affect the proportion of water flow in a system, such as the size and shape of the opening, the viscosity of the water, and any obstructions or restrictions. The proportion of water flow can be controlled by adjusting the size of the opening, changing the viscosity of the water, or removing any obstructions or restrictions. Understanding proportions and water flow is crucial in real-world applications, including plumbing and irrigation systems, hydroelectric power plants
  • #1
dinhjeffrey
30
0

Homework Statement




http://img41.imageshack.us/i/1721001.jpg/
#18

Homework Equations


proportions



The Attempt at a Solution


i would think water flowing is directly proportional to the diameter so i got
V1/D = V2/d
V2 = d*V1/D
but the answer is E
 
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  • #2
Do you know the continuity equation Av= constant such that A1v1=A2v2 ?

and A = πd2/4
 

FAQ: How Does the Continuity Equation Apply to Changing Water Flow in Pipes?

What is the relationship between proportions and water flow?

The relationship between proportions and water flow is that the amount of water flowing through a system is directly proportional to the size of the opening through which it flows. This means that as the opening increases in size, the water flow will also increase in proportion.

How do you calculate the proportion of water flowing through a system?

The proportion of water flowing through a system can be calculated using a simple formula: Flow rate = Area x Velocity. The area represents the size of the opening and the velocity represents the speed at which the water is flowing through the opening.

What factors can affect the proportion of water flow in a system?

There are several factors that can affect the proportion of water flow in a system. These include the size and shape of the opening, the viscosity of the water, and any obstructions or restrictions in the system.

How can the proportion of water flow be controlled?

The proportion of water flow in a system can be controlled by adjusting the size of the opening, changing the viscosity of the water, or removing any obstructions or restrictions in the system. Additionally, pumps and valves can be used to regulate the flow of water.

Are there any real-world applications for understanding proportions and water flow?

Yes, understanding proportions and water flow is crucial in many real-world applications. For example, in plumbing and irrigation systems, knowing how to control and adjust the flow of water is essential for efficient water usage. In hydroelectric power plants, the proportion of water flow is critical in generating electricity. Additionally, in environmental science, understanding water flow can help in managing and conserving natural water resources.

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