What is the Time to Drain a Tank with a Small Hole at the Base?

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SUMMARY

The discussion focuses on calculating the time required to drain a large tank with a small hole at the base using Torricelli's Law. The tank has a diameter D and is filled to a height h, while the hole has a diameter d, where d is significantly smaller than D. The problem is approached by applying the principles of fluid dynamics, specifically ignoring viscosity effects for simplification. The key takeaway is that the time to drain the tank can be derived from the Torricelli equation, which relates the speed of fluid flowing out of the hole to the height of the fluid above it.

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A large tank with Diameter D, open to the air , contains water upto heigh h . A small hole with diameter d( d<<D) is made at the base of the tank. Ignoring the effects of visocity , calculate the time it takes for the entire water to drain completely.
 
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ok. so what's the problem? what have you done already?
where are you stuck?
 
that would be a streamline problem solved using the Torracelli eqn, n'est pas?
 

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