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
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.