How Does Water Pressure Relate to Tank Height and Pipe Elevation?

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SUMMARY

The discussion focuses on the relationship between water pressure, tank height, and pipe elevation. The water level in a tank is 37 meters, which generates a street-level pressure of 36x104 Pa. To achieve a pressure of 400 kPa (40x104 Pa) at the bottom of a vertical pipe, the required height of the water column must be calculated using the equation P = pgh. The correct height for the vertical pipe is determined to be 40 meters.

PREREQUISITES
  • Understanding of fluid mechanics principles
  • Familiarity with pressure calculations using P = pgh
  • Basic knowledge of units of pressure (Pascal, kPa)
  • Ability to manipulate equations for height and pressure
NEXT STEPS
  • Study the derivation and applications of the hydrostatic pressure equation P = pgh
  • Learn about the implications of water tank height on municipal water supply systems
  • Explore the effects of pipe elevation on water pressure in fluid systems
  • Investigate real-world applications of pressure gauges in hydraulic systems
USEFUL FOR

Students in engineering or physics, educators teaching fluid mechanics, and professionals involved in water supply system design and analysis.

SAT2400
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Homework Statement


1)
The water level in a large tank supplying a small town is 37m high. Water is pumped up for storage in the evenings and allowed to free-fall down as needed during the day. The street-level water pressure is...
2) How high should a vertical pipe filled with water be if a gauge at its bottom is to read a pressure of 400kPa due only to the liquid?


Homework Equations


P= pgh = F/A


The Attempt at a Solution


1)
answer: 36x 10^4 Pa
2)
answer: 3x 10^4 Pa

I have been trying to get these right answers using the equations above..
But, I have no idea..T_T
Please help!
 
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SAT2400 said:

Homework Statement


1)
The water level in a large tank supplying a small town is 37m high. Water is pumped up for storage in the evenings and allowed to free-fall down as needed during the day. The street-level water pressure is...
2) How high should a vertical pipe filled with water be if a gauge at its bottom is to read a pressure of 400kPa due only to the liquid?


Homework Equations


P= pgh = F/A


The Attempt at a Solution


1)
answer: 36x 10^4 Pa
yes
2)
answer: 3x 10^4 Pa
I don't know what you did here, but the problem is asking for the height, when the pressure is 400 kPa (40x 10^4 Pa). Use the same equation you used for the first part. (you don't need to know F or A).
 

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