Pressure at the bottom of a glass pipe?

In summary, the problem involves finding the pressure at the bottom of a pipe containing 1kg each of water, olive oil, and mercury with a cross sectional area of 10cm^2. The equations used are F=PA and P=Po+ρgd, and a free body diagram is set up with ∑Fy= PA-mg-PoA=0. The solution involves solving for the pressure at the bottom using the known values of total mass, acceleration of gravity, and area. Calculating heights or incremental pressures is not necessary. The total weight of the liquid is also needed to solve the problem.
  • #1
KoontzyN
3
0

Homework Statement


Given a cross sectional area of A=10cm^2
1kg each of water ( ρ = 1000 kg/m^3 ), olive oil (
ρ = 800 kg/m^3 ), and mercury ( ρ = 13600 kg/m^3 ) are poured, and allowed to settle. What is the
pressure at the bottom of the pipe?

Homework Equations


F=PA
P=Po+ρgd

The Attempt at a Solution


I have set up a free body diagram of the system with ∑Fy= PA-mg-PoA= o, but I'm not sure what to do at this point.
 
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  • #2
Solve for the pressure at the bottom?
 
  • #3
You know how much total mass is supported by the bottom surface. You know the acceleration of gravity. You know the area of the bottom surface. Calculating the heights or incremental pressures from the individual sections is not necessary.
 
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Likes Chestermiller and Nidum
  • #4
What is the total weight of liquid?
 

FAQ: Pressure at the bottom of a glass pipe?

1. What causes pressure at the bottom of a glass pipe?

The pressure at the bottom of a glass pipe is caused by the weight of the fluid or gas inside the pipe pushing down on the bottom surface.

2. How does the pressure at the bottom of a glass pipe change with depth?

The pressure at the bottom of a glass pipe increases with depth due to the weight of the fluid or gas above it. This is known as hydrostatic pressure.

3. Does the material of the glass pipe affect the pressure at the bottom?

No, the material of the glass pipe does not affect the pressure at the bottom. The pressure is solely determined by the weight of the fluid or gas inside the pipe.

4. How does the shape of the glass pipe affect the pressure at the bottom?

The shape of the glass pipe does not affect the pressure at the bottom as long as the cross-sectional area remains the same. However, if the cross-sectional area changes, then the pressure will also change.

5. What happens to the pressure at the bottom of a glass pipe when the fluid or gas inside is in motion?

The pressure at the bottom of a glass pipe remains the same even when the fluid or gas inside is in motion. This is because the weight of the fluid or gas is still acting on the bottom surface, regardless of its movement.

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