Given the dimensions of a cylinder container with a hole, the dimensions of the hole, and the volume of water, calculate the time for water inside the container to completely leak out.
Bernoulli equation: P + 1/2pv^2 + pgh = constant https://en.wikipedia.org/wiki/Bernoulli's_principle
Continuity equation: A1V1 = A2V2 http://theory.uwinnipeg.ca/mod_tech/node65.html
The Attempt at a Solution
- Assume the water is ideal liquid
- Assume container has an open top, so pressure cancels
So far I am able to find the relationship between height of the water in the container and the velocity at the top of the water. Since both height, volume, and velocity changes at each instant, I think that integration needs to be used. Can someone enlighten me on how I should incorporate calculus in the equation?
See attachment for attempt
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