Question

Your town is installing a fountain in the main square. If thewater is to rise 25m(82feet)above the fountain,how much pressuremust the water have as it

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asked 2021-05-12
Your town is installing a fountain in the main square. If thewater is to rise 25m(82feet)above the fountain,how much pressuremust the water have as it moves slowly toward the nozzle thatsprays it up into the air?
Rather than putting a pump in the fountain(previous question)the engineer puts a water storage tank in a nearby high risebuilding.How high up in that building should the tank be for itswater to rise 25m when spraying out thefountain?(neglect friction)

Expert Answers (1)

2021-05-14
The pressure is given by
\(\displaystyle{P}={P}_{{{0}}}+{g}{h}={\left({1.03}\cdot{10}^{{{5}}}\right)}+{\left({1000}\cdot{9.8}\cdot{25}\right)}\)
\(\displaystyle{P}={3.48}\cdot{10}^{{{5}}}{p}{a}\).
b)\(\displaystyle{P}={P}_{{{0}}}+{g{{\left({h}_{{{1}}}-{h}_{{{2}}}\right)}}}\)
plug in for \(\displaystyle{h}_{{{1}}}\)
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