Pressure at the bottom of cylinder immersed in two liquids

Click For Summary
SUMMARY

The discussion centers on calculating the hydrostatic pressure at the bottom of a solid cylinder immersed in oil and water. The cylinder has a base area A, a height of 20 cm, and a density of 0.8 g/cm³, while the oil density is 0.6 g/cm³. The height of the cylinder immersed in each liquid is determined to be 10 cm, with the height of oil being three times that of the water. The hydrostatic pressure at the bottom of the cylinder is calculated by summing the pressures from both the oil and water, resulting in a total pressure of 4000 Pa.

PREREQUISITES
  • Understanding of hydrostatic pressure calculations using the formula P = ρgh
  • Knowledge of fluid densities, specifically for oil (0.6 g/cm³) and water (1000 kg/m³)
  • Familiarity with the concept of buoyancy and floating objects
  • Basic algebra for solving equations related to fluid mechanics
NEXT STEPS
  • Study the principles of buoyancy and Archimedes' principle in fluid mechanics
  • Learn about hydrostatic pressure variations in multi-fluid systems
  • Explore the effects of different fluid densities on buoyancy and pressure calculations
  • Practice problems involving hydrostatic pressure in various configurations of liquids
USEFUL FOR

Students in physics or engineering courses, particularly those focusing on fluid mechanics, as well as educators looking for practical examples of hydrostatic pressure calculations.

songoku
Messages
2,509
Reaction score
393

Homework Statement


A solid cylinder has base area A, height 20 cm and density 0.8 g/cm3, floats in the boundary of oil and water. If the density of oil 0.6 g/cm3, find
a. the height of cylinder that immersed in oil and water
b. the hydrostatic pressure at the bottom of the cylinder if the height of oil = 3 times height of cylinder immersed in water


Homework Equations


P = ρgh
W = mg
Fa = ρgV


The Attempt at a Solution


a. I am able to do this one. I got the height that immersed in each liquid = 10 cm

b. So the height of oil = 30 cm. How to find the hydrostatic pressure at the bottom of cylinder? Does the oil give pressure for the bottom part?

Water will gives pressure at the bottom which is equal to ρgh = 1000 x 10 x 0.1 = 1000 Pa

I do not know what to do next...I even don't know whether 1000 Pa is the final answer or not...

Thanks
 
Physics news on Phys.org
The oil pushes down on the top and also increases the pressure on the bottom pushing up. So if there is 30 cm of oil total, the pressure at the bottom can be determined by adding the pressure due to 30 cm of oil plus the 10 cm of water.
 
LawrenceC said:
The oil pushes down on the top and also increases the pressure on the bottom pushing up. So if there is 30 cm of oil total, the pressure at the bottom can be determined by adding the pressure due to 30 cm of oil plus the 10 cm of water.

OK thanks :smile:
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
Replies
8
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
Replies
16
Views
6K
  • · Replies 21 ·
Replies
21
Views
5K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
60
Views
7K
Replies
12
Views
2K