Pressure, Force, and Density Calculations for Immersed Objects

In summary, the conversation involves two questions - one about a cylinder immersed in water and the other about a solid metal cube. The first question involves calculating the pressure and force on the upper and lower ends of the cylinder due to water, as well as the loss in weight of the cylinder when immersed in water. The second question involves finding the density of the metal cube and its apparent mass when immersed in a liquid of a given density. The formula for pressure at a given depth is ρgh, where ρ is density and g is acceleration due to gravity.
  • #1
LongFTW
2
0

Homework Statement


Q1.A cylinder of length 10cm and radius 4cm has its axis vertical and its top end 15cm below the surface of a large beaker of water.
Calculate:
a) the pressure on the upper and on the lower ends of the cylinder due to the water
b) the force on the upper and on the lower ends of the cylinder due to the water
c) hence state the loss in weigh of the cylinder when immersed in water.

Q2.A solid metal cube, each side 3cm long has a mass of 207.8grams.
Calculate:
a) the density of the metal kg m^-3
b)the apparent mass of the cube when immersed in a liquid of density 850kg m^-3

I am completely stumped about these 2 questions and have no idea how to obtain the formula. So if anyone can just post the formula for me would be great.

Homework Equations





The Attempt at a Solution

 
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  • #2
Welcome to PF!

Hi LongFTW! Welcome to PF! :wink:

Pressure at depth h is ρgh, where ρ is density (of water).

That should enable you to do Q1 …

show us how far you get, and where you're stuck, and then we'll know how to help! :smile:
 
  • #3
Never mind, I figured it out with some notes in my book, thanks for the help anyways.
 

FAQ: Pressure, Force, and Density Calculations for Immersed Objects

What is pressure?

Pressure is the amount of force applied per unit area. It is typically measured in units of Pascals (Pa) or pounds per square inch (psi).

How is pressure related to density?

Pressure and density are directly related to each other. As density increases, pressure increases as well because there are more particles in a given area to apply force.

What is the difference between absolute and gauge pressure?

Absolute pressure is the total pressure exerted by a fluid on a surface and includes both atmospheric and gauge pressure. Gauge pressure is the difference between absolute pressure and atmospheric pressure.

What factors affect pressure and density?

Temperature, volume, and the amount of gas present are the main factors that affect pressure and density. Changes in these factors can cause pressure and density to increase or decrease.

How is pressure and density used in practical applications?

Pressure and density play important roles in many scientific fields, including meteorology, oceanography, and fluid mechanics. They are also used in engineering and industry to measure and control various processes and systems.

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