Does Pressure Distribute Evenly in Water Columns?

Click For Summary
SUMMARY

The discussion centers on the distribution of pressure in water columns, specifically addressing the relationship between force, area, and pressure. It is established that pressure at the bottom of a static column of water is uniform, and pressure is defined as force per unit area (P = F/A). The confusion arises when attempting to calculate the pressure for a smaller area within a larger column, as the pressure remains consistent across all areas of the column. The correct approach involves calculating pressure by dividing the total force by the area of interest.

PREREQUISITES
  • Understanding of basic fluid mechanics principles
  • Familiarity with the formula for pressure (P = F/A)
  • Knowledge of static fluid behavior
  • Basic mathematical skills for area and force calculations
NEXT STEPS
  • Study the principles of hydrostatics in fluid mechanics
  • Learn about Pascal's Law and its applications in pressure distribution
  • Explore the concept of gauge pressure versus absolute pressure
  • Investigate real-world applications of pressure calculations in engineering
USEFUL FOR

Students and professionals in physics, engineering, and fluid dynamics who seek to understand pressure distribution in fluids and its implications in practical scenarios.

Idea04
Messages
194
Reaction score
1
If you applied a force to a 1 foot diameter column of water and wanted to determine the pressure for only 1 inch diameter area of water would you only take the force directly above that 1 inch diameter. Or would the force for 1 inch diameter be the same as the force from the whole area of water.
I think the pressure is evenly distributed and it will all be the same force for every square inch but my calculations show otherwise.
 
Physics news on Phys.org
The pressure at the bottom of a static column of water is uniform. More area means more force, because force is pressure multiplied by area:

F = P * A
 
Force can be applied to a 1-foot diameter column of water,
but it is peculiar to ask what the Pressure is for a 1-inch diameter Area,
because Pressure is the Force through a 1-square-inch Area.

Probably the question wanted you to compute the Pressure for the surface,
which would be the Force divided by the Area (ie, about F / 110sq.in).
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
Replies
15
Views
3K
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
16
Views
6K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 7 ·
Replies
7
Views
1K