Filling a tank flow rate problem

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SUMMARY

The discussion centers on calculating the flow rate of water entering a ship's tank due to sea water ingress using the equation q = d² * v * π / 4. Here, 'd' represents the diameter of the hole in meters, and 'v' is the velocity of water calculated as v = √(2 * 9.8 * height). The user seeks guidance on plotting the function f'(x) to determine the flow rate in cubic meters per second as the tank fills. Clarification is provided that 'q' denotes the flow rate and 'f' represents the function related to the tank's filling process.

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robert.hare
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Goodday I wonder if anyone can help , I have a problem with an equation where a ships tank floods from sea water ingress .
I use the equation q= d^2 * v * pi /4 where
d = diametre of hole in m
v = velocity of water m/s as ( 2*9.8*height)^.5
My problem is how do i plot the on an x and y to find the f'(x) where i can see at any point in the tank becoming full , what will the flow rate be in m^3 /sec
thanks
rob
 
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??What is q? What is f? How are they related?
 
q = flow rate and f is the function
 

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