Which of the following is the correct relation between centroid (G) and the centre of pressure (P) of a plane submerged in a liquid?

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A rectangular lamina of width b and depth d is submerged vertically in water, such that the upper edge of the lamina is at a depth h from the free surface. What will be the expression for the depth of the centroid (G)?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the depth (in m) of the centre of pressure?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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Equal volume of two liquids of densities ρ1 and ρ2 are poured into two identical cuboidal beakers. The hydrostatic forces on the respective vertical face of the beakers are F1 and F2 respectively. If ρ1 > ρ2, which one will be the correct relation between F1 and F2?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3m and 1 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be the depth (in m) of the centre of pressure?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The highest and lowest vertices of a diagonal of a square lamina (each side equal to 4m) are 1 m and 3 m respectively as shown. What will be the depth (in m) of it’s centre of pressure?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the water surface. If the pressure on the surface is 12 bar, what will be the total water pressure (in kN) on the lamina?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A square lamina (each side equal to 2m) is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the total water pressure (in kN) on the lamina?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A square lamina (each side equal to 2m) with a central hole of diameter 1m is submerged vertically in water such that the upper edge of the lamina is at a depth of 0.5 m from the free surface. What will be the total water pressure (in kN) on the lamina?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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What will be the total pressure (in kN) on a vertical square lamina submerged in a tank of oil (S=0.9) as shown in the figure?

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A rectangular lamina of width b and depth d is submerged vertically in water, such that the

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The magnitude of total pressure and centre of pressure is independent on the shape of the submerged plane surface.

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A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to heights of ^h ⁄ 6, ^h ⁄ 3 and ^h ⁄ 2 respectively. What will be the ratio of the instantaneous velocity of discharge through a small opening at the base of the tank in this case to that if the container is filled with the liquid of density ρ only? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A large tank of height h is half-filled with a liquid of density ρ and other half-filled with a liquid of density 4ρ. A similar tank is half-filled with a liquid of density 2ρ and other-half filled with another liquid of density 3ρ as shown. What will be the ratio of the instantaneous velocities of discharge through a small opening at the base of the tanks? (assume that the diameter of the opening is negligible compared to the height of the liquid column in either of the tanks)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A large tank of height h is filled with a liquid of density ρ. A similar tank is half-filled with this liquid and other-halffilled with another liquid of density 2ρ as shown. What will be the ratio of the instantaneous velocities of discharge through a small opening at the base of the tanks? (assume that the diameter of the opening is negligible compared to the height of the liquid column in either of the tanks)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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Can centre of pressure for a vertical plane submerged surface be ever be above centre of Gravity

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A large tank is filled with three liquids of densities ρ, 2ρ and 3ρ up to a height of ^h ⁄ 3 each. What will be the expression for the instantaneous velocity of discharge through a small opening at the base of the tank? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A large tank is lled with three liquids of densities ρ1, ρ2 and ρ3 up to heights of h1, h2 and h3 respectively. What will be the expression for the instantaneous velocity of discharge through a small opening at the base of the tank? (assume that the diameter of the opening is negligible compared to the height of the liquid column)

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The upper and lower edges of a square lamina of length 4 m are at a depths of 1 m and 3 m respectively in water. What will be the total pressure (in kN) on the lamina?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The greatest and the least depth of a circular plate of 4 m diameter from the free surface of water are 3m and 1 m respectively as shown. What will be the total pressure in (kN) on the plate?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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A container is lled with two liquids of densities ρ and 2ρ up to heights h and eh respectively. What will be the ratio of the total pressure on the lower face AB and on the upper face BC?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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By what factor will the hydrostatic force on one of the vertical sides of a beaker decrease if the height of the liquid column is halved?

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A container is lled with two liquids of densities ρ1 and ρ2 up to heights h1 and h2 respectively. What will be the hydrostatic force (in kN) per unit width of the lower face AB?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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The highest and lowest vertices of a diagonal of a square lamina (each side equal to 4m) are 1 m and 3 m respectively as shown. What will be the water force (in kN) on the lamina?

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

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