Keep working on the liquid pressure problem

In summary, the conversation discusses the calculation of the force of gravity on a piston without taking into account friction. It is determined that the force on each side of the piston must be -ρgSH/2, and the final calculation for the force is F=-(1/2)ρgSH.
  • #1
vxiaoyu18
93
13
Homework Statement
Deep understanding of liquid pressure formula.
Relevant Equations
F=ρgSH
20200101011314-.jpg

Without calculating the friction, if the force of gravity on the piston, the initial force F on the piston S is what?
1. F=-ρgSH;
2. F=-(1/2)ρgSH;
3. F=0;
4. Other.
I'm not sure which is the correct result, can someone help me analyze it again?
 
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  • #2
The force on the left side of the blue piston is ##-\rho g H S_1##. This must also be the force on the right side of the blue piston. So, the pressure inside the compartment must be ##-\rho g H/2## (since the area on the right side of the blue piston is twice the area on the left side of the blue piston). Since S = S1, that means that the force on the left and right sides of the red piston must be ##-\rho gH S/2##.
 
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  • #3
Thank you for your patience. I finally understand. The calculation process of this method is very clear. Is F=-(1/2)ρgSH.
 
  • #4
vxiaoyu18 said:
Thank you for your patience. I finally understand. The calculation process of this method is very clear. Is F=-(1/2)ρgSH.
That's what I said.
 
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Related to Keep working on the liquid pressure problem

1. What is the liquid pressure problem?

The liquid pressure problem refers to the study of how fluids behave when subjected to external forces, such as pressure or gravity. It involves understanding the concepts of pressure, buoyancy, and fluid mechanics.

2. Why is it important to keep working on the liquid pressure problem?

Studying the liquid pressure problem is crucial for several reasons. It allows us to understand how fluids behave in different situations, such as in pipelines, pumps, and hydraulic systems. This knowledge can then be applied to improve various technologies and industries, such as transportation, energy, and construction.

3. What are some current research areas related to the liquid pressure problem?

Some current research areas related to the liquid pressure problem include studying the behavior of fluids in extreme conditions, such as high pressures and temperatures, and developing new techniques to measure and control fluid pressure. Other areas of research focus on understanding the effects of fluid pressure on structures and finding ways to optimize fluid flow in different systems.

4. What are some challenges scientists face when working on the liquid pressure problem?

One of the main challenges scientists face when working on the liquid pressure problem is accurately predicting and measuring fluid behavior. This is because fluids can exhibit complex and unpredictable behaviors, making it difficult to develop precise models and experiments. Additionally, studying fluids in extreme conditions can be challenging due to the limitations of current technology.

5. How can the liquid pressure problem impact our daily lives?

The liquid pressure problem has a significant impact on our daily lives in various ways. For example, understanding fluid pressure plays a crucial role in the design and operation of water and sewage systems, as well as in the production of food and beverages. It also affects our daily activities, such as driving a car or using household appliances that rely on fluid mechanics. Additionally, advancements in this field can lead to the development of new technologies and products that can improve our lives.

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