marigirl
  • marigirl
Could someone please help me understand this question and specifically what it means by proportional: Water leaks from the bottom of a tank at a rate proportional to the depth h of the water in the tank. Write down an equation describing this if V is the volume of the water in the tank after time 't' and if the tank is a cylinder show that dh/dt is proportional to h
Mathematics
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
do u know anything about Torricelli's law
marigirl
  • marigirl
if water leaks at the bottom of the tank (dV/dt) at a rate proportional to the depth h of the water in the tank ..how can i write something here..
anonymous
  • anonymous
\[\frac{ dv }{ dt }=-a \sqrt{2gh}\]

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anonymous
  • anonymous
and
marigirl
  • marigirl
nope! havent met that before .. what does the right side of the equation mean/stand for?
anonymous
  • anonymous
\[A(h) \frac{ dh }{ dt}=-k \sqrt{h} \]
anonymous
  • anonymous
where K is a constant
marigirl
  • marigirl
Thanks for that
anonymous
  • anonymous
-a is area btw

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