Hydraulics And Fluid Mechanics In Me - Study Mode

[#301] A vertically immersed surface is shown in the below figure. The distance of its centre of pressure from the water surface is
Correct Answer

(B) $$frac{{{{ ext{d}}^2}}}{{12overline { ext{x}} }} + overline { ext{x}} $$

[#302] The sheet of water flowing over a notch or a weir is known as
Correct Answer

(B) Nappe or vein

[#303] When the water level on the downstream side of a weir is above the top surface of a weir, the weir is known as
Correct Answer

(D) Submerged weir

[#304] The pressure in Pascal’s at a depth of 1 m below the free surface of a body of water will be equal to
Correct Answer

(D) 9810 Pa

[#305] The total pressure on the top of a closed cylindrical vessel completely filled up with a liquid is
Correct Answer

(C) Directly proportional to (radius) 4

Explanation

Solution: 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 .