How Much Water Flows Through a 6mm Hole in a Tank Per Second?

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LawIn summary, a small circular hole 6.00 mm in diameter is cut in the side of a large water tank, 14.0 m below the water level in the tank. The top of the tank is open to the air. The speed of efflux is 16.6 m/s and the volume discharged per unit time can be calculated using the flux of the velocity of the fluid through the area of the hole. This can be done by considering a tube of fluid leaving the hole and calculating its volume based on its length and the Avogadro's Law.
  • #1
badman
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A small circular hole 6.00 mm in diameter is cut in the side of a large water tank, 14.0 m below the water level in the tank. The top of the tank is open to the air.

i found the first speed
What is the speed of efflux?
16.6 m/sCorrect



now it asks me to find the volume discharged per unit time

What is the volume discharged per unit time?
 
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  • #2
anyone, help??
 
  • #3
badman said:
anyone, help??

you're so close by thinking in terms of flux!

the rate of change in volume is given by the flux of the velocity of the fluid through that area.

so think how to calculate that... (unit analysis will work!) :-p
 
  • #4
If you have the speed through the hole and the area of the hole, you should be able to figure out the volume flow rate. Think of a tube of fluid leaving the hole. In a given time, how long would the tube be? And what would its volume be?
 
  • #5
nvm...
 
  • #6
...Av
 

Related to How Much Water Flows Through a 6mm Hole in a Tank Per Second?

1. What is volume discharged?

Volume discharged refers to the amount of fluid or material that is released or removed from a specific area or container. It is typically measured in units of volume, such as liters or gallons.

2. How is volume discharged calculated?

The calculation for volume discharged can vary depending on the specific situation. In general, it is calculated by measuring the dimensions of the container or area from which the fluid or material is being discharged and multiplying those dimensions by the depth or height of the material. This will provide the total volume of material discharged.

3. What factors can affect volume discharged?

There are several factors that can affect volume discharged, including the size and shape of the discharge area, the speed or rate of discharge, the viscosity of the fluid or material being discharged, and the presence of any obstructions or barriers that may impede the discharge process.

4. Why is volume discharged important in scientific research?

Volume discharged is an important measurement in scientific research because it can provide valuable information about the movement and behavior of fluids and materials. It can also help scientists understand the impact of certain processes or events on the environment, such as the discharge of pollutants into a body of water.

5. How can volume discharged be controlled or manipulated?

There are various methods that can be used to control or manipulate volume discharged, depending on the specific situation. This can include adjusting the speed or rate of discharge, changing the shape or size of the discharge area, and using different tools or equipment to regulate the flow of the material being discharged.

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