Effect of Faucet Location on Water Discharge from a Tank

In summary, the conversation is about the Torricelli equation and whether the solution would change if the faucet on the tank was located at the bottom center instead of the side. The Bernoulli equation is mentioned as a relevant equation. The potential change in height is discussed and it is determined that the orientation of the tap should not affect the solution. The conversation ends with confirmation that the theory is correct.
  • #1
ultimateceej
6
0

Homework Statement


This is more of a question:
In class, we solved an example with water leaving a tank from a faucet on the side and near the bottom. The result was v=(2gz)^(1/2)... the Torricelli equation. What I am wondering is if the solution would change if the faucet were located at the bottom center of the tank instead of the side.



Homework Equations


Bernoulli Equation



The Attempt at a Solution


The only change I can think of is the small difference in height between where the faucet was on the side of the tank and the new location on the bottom. That seems a little too simple and convenient, though. Any help is appreciated.
 
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  • #2
Your theory sounds correct to me! Water pressure pushes equally in all directions so the orientation of the tap on the tank should not matter.
 
  • #3
Yes. You are right.
 
  • #4
Ok thank you!
 

1. How is water discharge from a tank calculated?

The water discharge from a tank can be calculated using the formula Q = A * V, where Q is the discharge flow rate, A is the cross-sectional area of the tank, and V is the velocity of the water flow.

2. What factors affect the water discharge from a tank?

The water discharge from a tank can be affected by factors such as the size and shape of the tank, the height of the water level, the size and type of outlet, and the pressure of the water.

3. How does the shape of the tank affect the water discharge?

The shape of the tank can affect the water discharge by changing the cross-sectional area and therefore the velocity of the water flow. A wider tank will have a larger cross-sectional area and a lower velocity, resulting in a slower discharge rate. A taller tank will have a higher water pressure and a faster discharge rate.

4. What is the difference between gravity and pressure-driven water discharge from a tank?

Gravity-driven water discharge from a tank occurs when the water flows out of the tank due to the force of gravity, while pressure-driven discharge occurs when the water is pushed out of the tank by a pump or other mechanical means.

5. Can the water discharge from a tank be controlled?

Yes, the water discharge from a tank can be controlled by adjusting the size and type of outlet, the pressure of the water, and the height of the water level in the tank. This can be useful in managing water flow for various purposes, such as irrigation or water distribution systems.

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