How can we get enough water to a skyscraper 50+floors

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To supply water to the 52nd floor of a skyscraper for a recreational bathing center with 200-300 users, it's essential to consider the pressure requirements and potential physics challenges, such as gravitational force and fluid dynamics principles. The municipal water supply system may not suffice, necessitating alternative solutions like pumps or storage tanks. Key factors include calculating the necessary water pressure and flow rates, as well as understanding the limitations of existing infrastructure. Familiarizing oneself with relevant equations, such as Bernoulli's equation and the Steady Flow Energy Equation, is crucial for accurate estimations. Gathering specific data on water demand and height will aid in developing a feasible water transportation plan.
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Homework Statement


-What formulas can I use to demonstrate that I can send enough water to the 52th level of a skyscraper in NYC, specifically to a modern Recreational Bathing Center which will need a lot of water supply for possibly 200-300 users at a time?

-Should I disregard the idea of using the regular municipal water supply system & to incorporate it into the new installations or should I consider it?

-What are the possible problematic factors that I will have to deal with (in terms of Hs pressure & any physics factor)

-What missing information do I need to demonstrade that this can be done?

I don't look for precise numbers just a possibility with estimations and maybe other ideas to provide the transportation of a massive quantity of water to the very top of a skyscraper...
If anybody could help me with this I would really appreciate it, any info is valuable!



Homework Equations



P= ehg ?




The Attempt at a Solution

 
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Archisoul you have posted an equation which could be useful but you have added a question mark beside it.I suggest that you familiarise yourself more with the equation ,consider how,if at all you can use it and then report back here.
 
atmospheric water maker,make water where needed (solar powered ecoloblue ?) twitter as extrapile
 
How much water do you need? How high do you need it? How often do you need it? Them are the 3 questions I would start with. You can calculate the gravitational force you will need to overcome also. Read up on Fluid Dynamics. Not entirely sure, but I think Bernoullis equation and SFEE(Steady Flow Energy Equation) might come into this, but don't quote me on it.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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