Task of building a water barometer.

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SUMMARY

The task involves constructing a water barometer to measure atmospheric pressure, which can fluctuate by up to 5% from a standard atmosphere. To determine the minimum height for the barometer, one must apply the hydrostatic pressure formula, P = Po + Density * g * depth. When the barometric pressure is reported at 29.55 inches, the corresponding height of the water column in the barometer must be calculated using the same principles. The discussion highlights the need for clarity in understanding the relationship between pressure, density, and height in fluid mechanics.

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula P = Po + Density * g * depth
  • Basic knowledge of atmospheric pressure variations
  • Ability to convert pressure measurements (inches to height)
NEXT STEPS
  • Research the calculation of atmospheric pressure using water barometers
  • Learn about the effects of temperature on water density
  • Explore the conversion between inches of mercury and inches of water
  • Investigate the design and construction of water barometers
USEFUL FOR

Students in physics, educators teaching fluid mechanics, and anyone interested in practical applications of atmospheric pressure measurement.

killersanta
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Homework Statement


Your physics teacher has assigned you the task of building a water barometer. You've learned that the pressure of the atmosphere can vary by much as 5 percent from 1 standard atmosphere as the weather changes.

A. What is the minimum height you must build your barometer to?
B. When the weather man said the barometric pressure is as low as 29.55 inches, What is the height of your barometer?

The Attempt at a Solution



I don't know where to start. I thought at first to use P = F/A for a closed surface and set that equal to P = Po + Density*g*depth... But, I don't know F or A?

Then, I thought set Po * 5% = Po + D*g*depth... but that gives me the wrong answer...
 
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killersanta said:

Homework Statement


Your physics teacher has assigned you the task of building a water barometer. You've learned that the pressure of the atmosphere can vary by much as 5 percent from 1 standard atmosphere as the weather changes.

A. What is the minimum height you must build your barometer to?
B. When the weather man said the barometric pressure is as low as 29.55 inches, What is the height of your barometer?

The Attempt at a Solution



I don't know where to start. I thought at first to use P = F/A for a closed surface and set that equal to P = Po + Density*g*depth... But, I don't know F or A?

Then, I thought set Po * 5% = Po + D*g*depth... but that gives me the wrong answer...

Wikipedia may be of help...

http://en.wikipedia.org/wiki/Barometer#Water-based_barometers

.
 

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