The total pressure on the top of a closed cylindrical vessel completely filled up with a liquid is
A. Directly proportional to (radius)2
B. Inversely proportional to (radius)2
C. Directly proportional to (radius)4
D. Inversely proportional to (radius)4
Answer: Option C
Solution(By Examveda Team)
The total pressure on the top of a closed cylindrical vessel completely filled with a liquid is directly proportional to (radius)4. This phenomenon is a result of the distribution of pressure in a fluid due to its weight.When a vessel is completely filled with liquid, the pressure at a specific depth is determined by the weight of the liquid above that level. The pressure at any point within a static fluid is proportional to the height of the fluid column above that point. For a cylindrical vessel, the pressure distribution is influenced by the cross-sectional area, which is proportional to the square of the radius.
Since the pressure is directly related to the height of the liquid column and the area of the cross-section (which is proportional to the radius squared), the total pressure on the top of the vessel will be directly proportional to (radius)2 * (radius)2, which simplifies to (radius)4.
This Question Belongs to Mechanical Engineering >> Hydraulics And Fluid Mechanics In ME
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Comments ( 3 )
A flow in which the quantity of liquid flowing per second is constant, is called __________ flow.
A. Steady
B. Streamline
C. Turbulent
D. Unsteady
A hydraulic ram is a device used to
A. Store the energy of water
B. Increase the pressure of water
C. To lift water from deep wells
D. To lift small quantity of water to a greater height when a large quantity of water is available at a smaller height
A. The weight of the body
B. More than the weight of the body
C. Less than the weight of the body
D. Weight of the fluid displaced by the body
its not right answer
P=r2 is right
Correct option is A
Total pressure P=WhA.
h=ω^2r^2/2g.
A=πr^2.
So, P=r^4.