Confused about the Question asked (bernouillis equation)

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In summary, the Bernoulli's equation is a fundamental equation in fluid dynamics that represents the conservation of energy in a fluid flow system by relating pressure, velocity, and height. It is derived from the conservation of energy principle and the laws of conservation of mass and momentum. The equation makes assumptions about the fluid and its flow, such as being incompressible, inviscid, and irrotational, and following a steady and streamline path. This equation has numerous real-life applications, including designing aircraft wings, calculating water flow, and understanding fluid behavior in turbines and pumps. The Venturi effect, where the velocity of a fluid increases in a constricted pipe, can also be explained using the Bernoulli's equation.
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Homework Statement



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Are we calculating the water that is falling when it is outside of the pipe. Not within the pipe? I just want to clarify. Because if i assume that the function of the speed is out of the pipe, then i get a correct answer...
 

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lc99 said:
Are we calculating the water that is falling when it is outside of the pipe.
Yes.
 
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1. What is the Bernoulli's equation and what does it represent?

The Bernoulli's equation is a fundamental equation in fluid dynamics that relates the pressure, velocity, and height of a fluid. It represents the conservation of energy in a fluid flow system.

2. How is the Bernoulli's equation derived?

The Bernoulli's equation is derived from the conservation of energy principle, where the sum of kinetic energy, potential energy, and internal energy remains constant in a closed system. It is also derived from the application of the laws of conservation of mass and momentum.

3. What are the assumptions made in Bernoulli's equation?

The Bernoulli's equation assumes that the fluid is incompressible, inviscid, and irrotational. It also assumes that the flow is steady and the fluid particles follow a streamline path.

4. What are some real-life applications of the Bernoulli's equation?

The Bernoulli's equation has many practical applications, such as in aerodynamics, hydraulics, and fluid mechanics. It is used to design aircraft wings, calculate water flow in pipes and channels, and understand the behavior of fluids in turbines and pumps.

5. How does Bernoulli's equation relate to the Venturi effect?

The Venturi effect is a phenomenon where the velocity of a fluid increases as it flows through a constricted pipe. This effect can be explained using the Bernoulli's equation, as the decrease in the pipe's cross-sectional area causes an increase in velocity and a decrease in pressure according to the equation.

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