How Do You Calculate Pressure at the Bottom of a Partially Filled Water Tank?

  • Thread starter Thread starter dunny
  • Start date Start date
  • Tags Tags
    Idea
Click For Summary
SUMMARY

The pressure at the bottom of a partially filled water tank can be calculated using the formula P = ρgh, where P is pressure, ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (10 m/s²), and h is the height of the water column. In this case, with a tank height of 20 meters and being 50% full, the effective height of the water is 10 meters. Therefore, the pressure at the bottom of the tank is 1000 kg/m³ * 10 m/s² * 10 m, resulting in a pressure of 100,000 Pascals (Pa).

PREREQUISITES
  • Understanding of hydrostatic pressure principles
  • Familiarity with the formula P = ρgh
  • Basic knowledge of units of pressure (Pascals)
  • Concept of density and its role in fluid mechanics
NEXT STEPS
  • Study hydrostatic pressure calculations in various fluids
  • Learn about the effects of atmospheric pressure on fluid systems
  • Explore applications of pressure calculations in engineering
  • Investigate the relationship between fluid density and pressure
USEFUL FOR

Students in physics or engineering, professionals in fluid mechanics, and anyone involved in designing or analyzing water storage systems.

dunny
Messages
1
Reaction score
0
A vessel has the height of 20 meters. Calculate the pressure at the bottom of the tank if it is only 50% full. take the density of water is 1000 kg per meters cubed and gravity as 10m/s squared. neglect atmospheric pressure as this will be negligable in comparison.



can anybody work this out, i have tried and tried again i just can't seem to do it.
 
Physics news on Phys.org
This is abaout as easy as it gets for problems of "hydrostatic pressure."

IF the height of the container is 20m, and it is half full of water, what's the dpth of the water?
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
Replies
12
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 56 ·
2
Replies
56
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K