Calculating Thrust on Curved Surface of Cylindrical Vessel

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SUMMARY

The discussion centers on calculating the thrust acting on the curved surface of a cylindrical vessel filled with water to a height of 10 m. It is established that the thrust on the curved surface equals the thrust at the bottom of the vessel. Using the equation P=F/A and the volume formula Vol = πr²h, participants explore the implications of atmospheric pressure supporting a 10 m water column to determine the vessel's radius, leading to options of 5 m, 10 m, 15 m, or 25 m.

PREREQUISITES
  • Understanding of fluid mechanics principles, particularly hydrostatic pressure.
  • Familiarity with the equations of pressure, force, and area (P=F/A).
  • Knowledge of volume calculations for cylindrical shapes (Vol = πr²h).
  • Basic concepts of thrust and its application in fluid dynamics.
NEXT STEPS
  • Study hydrostatic pressure calculations in cylindrical vessels.
  • Learn about the relationship between force and pressure in fluid systems.
  • Explore the concept of thrust in various geometrical configurations.
  • Investigate real-world applications of fluid dynamics in engineering contexts.
USEFUL FOR

Students in engineering or physics, particularly those focusing on fluid mechanics, as well as professionals involved in designing cylindrical storage vessels or similar structures.

Pyrus
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Homework Statement


A large cylindrical vessel contains water to a height of 10 m. It is found that the thrust acting on the curved surface is equal to that at the bottom. If atmospheric pressure can support a water column of 10 m, the radius of the vessel is:-
(a) 10 m (b) 15m (c) 5 m (d) 25 m

Homework Equations


P=F/A
Vol = πr*r*h

The Attempt at a Solution

 
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Pyrus said:
It is found that the thrust acting on the curved surface is equal to that at the bottom.
This may be a key to help you find their relation. Can you get any idea from this information?
 
Pyrus said:

Homework Statement


A large cylindrical vessel contains water to a height of 10 m. It is found that the thrust acting on the curved surface is equal to that at the bottom. If atmospheric pressure can support a water column of 10 m, the radius of the vessel is:-
(a) 10 m (b) 15m (c) 5 m (d) 25 m

Homework Equations


P=F/A
Vol = πr*r*h

The Attempt at a Solution

Since you have posted no attempt, I assume you are stuck on interpreting the question.

It certainly is strange. I assume this is an upright cylinder. By "thrust acting on the curved surface" they should mean the force acting on the cylinder walls. Since force is a vector, by symmetry, the net force is zero.
So what do you think they might mean?
 
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I stuck up in force acting on curved surface of cylinder.
 
Pyrus said:
I stuck up in force acting on curved surface of cylinder.
In understanding what they mean or in calculating it?
 

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