Pressure at the bottom of cylinder immersed in two liquids

AI Thread Summary
A solid cylinder with a height of 20 cm and a density of 0.8 g/cm³ floats at the boundary of oil and water, with the oil having a density of 0.6 g/cm³. The height of the cylinder immersed in each liquid is determined to be 10 cm. Given that the height of the oil is three times the height of the cylinder submerged in water, the height of the oil is 30 cm. To find the hydrostatic pressure at the bottom of the cylinder, the pressures from both the oil and water must be combined, calculated as the sum of the pressure from 30 cm of oil and 10 cm of water. The discussion emphasizes the importance of considering both liquid pressures to determine the total hydrostatic pressure at the cylinder's base.
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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
 
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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:
 

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