How can you find height in bernouli equation?

So, to find the maximum height, you need to know the pressure at the bottom and the pressure at the top.In summary, the conversation is about finding the maximum height of water flow from a bottom to a bucket given certain known and unknown variables. The only known information is the initial velocity, density, gravity, and radius of the hose. To find the maximum height, the pressure at the bottom and top must be known.
  • #1
DrClone
4
0
I am having a hard time figuring out the step in the equation. For an example, I was given a problem that water flows from the bottom at a velocity of 5.0m/s up to a bucket at (unknown) height. The hose radius is the same so it is not given.

Known:
V_1=5.0m/s
Density p= 1000kg/m^3
Gravity= 9.80m/s^2
Radius of hose= any number but equal in all
y_1=0

Unknown:
V_2
y_2

So I am trying to find the maximum height but...the only known informations were given. What is the step in finding v_2 and y_2?

Please help! Thanks
 
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  • #2
Is this a trick question? If the hose radius never changes, then the velocity of the water never changes (ingoring tiny changes in density versus pressure, mass flow never changes, volume flow increases as density decreases). As long as a pump can supply sufficient pressure, there's no limit to height, unless the required pressure is so great (98,692 atm, 100,000 bar, 10 giga-pascals) that it turns water into ice. The pressure of the water will decrease with height, by ρ g h. Density (ρ) will decrease slightly as pressure decreases.
 
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Related to How can you find height in bernouli equation?

1. How does Bernoulli's equation determine height?

Bernoulli's equation is based on the principle of conservation of energy. It states that the total energy of a fluid remains constant along a streamline. In simple terms, as the speed of a fluid increases, its pressure decreases, and vice versa. By using this equation, we can calculate the height of a fluid in a specific situation.

2. What are the variables involved in the Bernoulli equation?

The variables involved in the Bernoulli equation are fluid velocity, fluid density, and fluid pressure. These variables are used to determine the height of a fluid in a given situation.

3. How does the shape of the container affect the height in Bernoulli's equation?

The shape of the container does not directly affect the height in Bernoulli's equation. However, it can indirectly affect the fluid's velocity and pressure, which are important variables in the equation. For example, a narrower container can increase the fluid's velocity and decrease its pressure, resulting in a higher height.

4. Can the Bernoulli equation be used for all types of fluids?

The Bernoulli equation can be used for all types of fluids, as long as they are considered incompressible. This means that the density of the fluid remains constant, and its volume does not change under pressure. Examples of incompressible fluids include water, oil, and air at low speeds.

5. Is Bernoulli's equation applicable to all situations involving fluid flow?

Bernoulli's equation can only be applied to situations where the flow of fluid is steady (constant) and along a streamline. In real-life situations, this is not always the case. For example, when there are obstacles in the fluid's path, the flow becomes turbulent, and the equation cannot be used. Additionally, the equation does not take into account factors such as viscosity and friction, which can affect real-life fluid flow.

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