How Does Pressure Affect the Buoyancy of a Cylinder?

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SUMMARY

The discussion focuses on the buoyancy of a cylinder with a movable piston, specifically analyzing how pressure affects its ability to sink. The cylinder's weight is 1.5 times its own mass, and the buoyant force is determined using the equation P=P0+ρgh. Participants are tasked with calculating the required length ratio for the cylinder to sink and the minimum pressure needed, both ignoring and considering water depth. The thread was ultimately locked due to unclear responses and a lack of detailed explanations from participants.

PREREQUISITES
  • Understanding of buoyancy principles and Archimedes' principle
  • Familiarity with fluid mechanics equations, specifically P=P0+ρgh
  • Knowledge of forces acting on submerged objects, including F=mg=ρgV
  • Basic grasp of pressure concepts in fluid systems
NEXT STEPS
  • Study the principles of buoyancy and Archimedes' principle in detail
  • Learn about pressure calculations in fluid mechanics, focusing on P=P0+ρgh
  • Explore the effects of depth on pressure in fluids and how it influences buoyancy
  • Practice solving problems involving movable pistons in fluid systems
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Students preparing for exams in physics or engineering, particularly those focusing on fluid mechanics and buoyancy concepts.

ehf
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Homework Statement


A cylinder shape object with a movable piston is 1.5 times of its own weight. The mass of object is figure. The initial buoyant force of the object is the waterVt.41 R Pititon iri, cylinder is Vi. and P1. Ignore the net volume of the tinder aP Before floating in the water container as shown in the Ina, and the volume and pressure of air inside Piston 1 cylinder material. The pressure at the top of water After container is set to be 0. Assume the temperature is (1)SP is applied from an external syringe. (2) and (3) show shapes of the cylinder before and after applying so P. constant. (a) Find out the required ratio of length /2/11 to make the object start to sink. [2 points] (b) In a case that we ignore the pressure due to water depth, find the minimum pressure aP to be applied to the water in order to make the object sink. [4 points] (c) In a case that we consider the pressure due to water depth, find the minimum pressure a p to be applied to the water in order to make the object sink. [4 points]
http://i.imgur.com/iVok98y.jpg
Well I am sorry but i have an exam coming up so what i can do is a simple OCR. if you click the imgur link it is perfectly visible.

Homework Equations


P=P0+ρgh
F=mg=ρgV

The Attempt at a Solution


1 and 2 is about it but i don't know whether to consider the l1 and l2 or the whole container.
again, this imgur link is good.
http://i.imgur.com/59Ew8vJ.jpg[/B]
 
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ehf said:

Homework Statement


A cylinder shape object with a movable piston is 1.5 times of its own weight. The mass of object is figure. The initial buoyant force of the object is the waterVt.41 R Pititon iri, cylinder is Vi. and P1. Ignore the net volume of the tinder aP Before floating in the water container as shown in the Ina, and the volume and pressure of air inside Piston 1 cylinder material. The pressure at the top of water After container is set to be 0. Assume the temperature is (1)SP is applied from an external syringe. (2) and (3) show shapes of the cylinder before and after applying so P. constant. (a) Find out the required ratio of length /2/11 to make the object start to sink. [2 points] (b) In a case that we ignore the pressure due to water depth, find the minimum pressure aP to be applied to the water in order to make the object sink. [4 points] (c) In a case that we consider the pressure due to water depth, find the minimum pressure a p to be applied to the water in order to make the object sink. [4 points]
http://i.imgur.com/iVok98y.jpg
Well I am sorry but i have an exam coming up so what i can do is a simple OCR. if you click the imgur link it is perfectly visible.

Homework Equations


P=P0+ρgh
F=mg=ρgV

The Attempt at a Solution


1 and 2 is about it but i don't know whether to consider the l1 and l2 or the whole container.
again, this imgur link is good.
http://i.imgur.com/59Ew8vJ.jpg[/B]
As I posted before, your answers to parts a and b look fine, but the last part is unintelligible.
Take the trouble to type your working in and explain what you are doing.
That's why @Mark44 closed the thread.
 
Please follow haruspex's advice before reposting.

Thread locked.
 

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