How High Can Water Climb in a Tank with a High-Velocity Inlet?

AI Thread Summary
To determine the maximum height water can reach in a tank with a high-velocity inlet, the continuity equation is essential. The user is confused about the appropriate formula, initially considering pressure but realizing that the exit velocity is crucial. The discussion emphasizes the need to analyze the flow rate and how it relates to the tank's dimensions. Clarification on the exit velocity is sought to further the calculations. Understanding these principles will help solve the problem effectively.
naimagul
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In a tank there is a hole at the bottom of radius 5cm.If water entering the vessel with pipe of radius 5cm with velocity 30m/s. Find maximum height to which tank can be filled.
 
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hi naimagul! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
tiny-tim said:
hi naimagul! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:

Um I am confused about the formula to be used. I tried P=density *g*height but it didn't,the work out because pressure is not known. I wonder if equation for continuity is the possible solution.
 
start with the exit velocity …

what does the exit velocity have to be?​
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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