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

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A 6mm diameter hole in a water tank, located 14m below the water level, allows water to flow out at an efflux speed of 16.6 m/s. To determine the volume discharged per unit time, one must calculate the flux of the fluid through the hole's area. The volume flow rate can be found by multiplying the speed of the water by the cross-sectional area of the hole. This involves using unit analysis to relate the speed and area to the volume flow rate. Understanding these principles will enable accurate calculation of the volume discharged per second.
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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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anyone, help??
 
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
 
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?
 
nvm...
 
...Av
 

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