Calculating Equilibrium Height of 2 Cylinders

In summary, the conversation is discussing how to calculate the equilibrium height of a system of 2 cylinders connected by a tube, with one end open to atmosphere and a certain weight pressing down on the other side. The individual believes it involves equal pressure or potential energy on both sides and suggests using the formula P = ρgh to calculate the unknown pressure. They also mention the need for the cylinder diameter to calculate the pressure on one side.
  • #1
JSBeckton
228
0
I'm trying to remember how to calculate the equlibrium height of a system of 2 cylinders connected by a tube at the bottom with the smaller cylinder open to the atmosphere and 702.9N pressing down on the other side.

I believe it has to do with the pressure being equal on both sides or potential energy being equal, its been a while since I did these, can anyine refresh my memory? Thanks.
 
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  • #2
Not 100%

For U tube, with 1 end open to atmosphere, the unknown P(kPa)=density (1 for water) * gravity (9.8) * delta Heighth (meters).

I think you would need the diameter of the cylinder with the wieght on it to calculate the pressure on that side. The other side would rise up until the delta H is equal to the pressure in the cylinder.
 
  • #3
thanks for your help.
 

FAQ: Calculating Equilibrium Height of 2 Cylinders

What is the purpose of calculating the equilibrium height of 2 cylinders?

The purpose of calculating the equilibrium height of 2 cylinders is to determine the stable position at which the cylinders will come to rest when placed on an inclined plane. This information can be useful in designing structures such as ramps or slides.

What factors affect the equilibrium height of 2 cylinders?

The equilibrium height of 2 cylinders is affected by the mass, diameter, and length of the cylinders, as well as the angle of the inclined plane and the coefficient of friction between the cylinders and the plane.

How is the equilibrium height of 2 cylinders calculated?

The equilibrium height of 2 cylinders can be calculated using the formula h = (m1 + m2) * sin(theta) / (m1/m2 + 1), where h is the equilibrium height, m1 and m2 are the masses of the cylinders, and theta is the angle of the inclined plane.

Can the equilibrium height of 2 cylinders be greater than the height of the inclined plane?

Yes, the equilibrium height of 2 cylinders can be greater than the height of the inclined plane. This can happen when the angle of the incline is steep enough and the cylinders have a high enough coefficient of friction to prevent them from sliding down the plane.

How can the equilibrium height of 2 cylinders be used in real-world applications?

The calculation of equilibrium height of 2 cylinders can be used in various real-world applications, such as designing playground equipment, creating efficient ramps for wheelchair accessibility, and determining the maximum slope for vehicles to safely park on. It can also be useful in understanding the stability of objects on inclined surfaces in physics and engineering contexts.

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