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The vertical component of the hydrostatic force on a submerged curved surface is the
- a)Mass of liquid vertically above it
- b)Weight of the liquid vertically above it
- c)Force on a vertical projection of the surface
- d)Product of pressure at the centroid and the surface area
Correct answer is option 'B'. Can you explain this answer?
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The vertical component of the hydrostatic force on a submerged curved ...
Ans. (b)
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Explanation:
When a curved surface is submerged in a liquid, it experiences a hydrostatic force due to the pressure exerted by the liquid. This hydrostatic force has two components: the vertical component and the horizontal component.
The vertical component of the hydrostatic force is the force that acts perpendicular to the surface and is responsible for the buoyancy of the object. The weight of the liquid vertically above the submerged surface is equal to the vertical component of the hydrostatic force.
The weight of the liquid vertically above the submerged surface is given by:
Weight of liquid = Density of liquid × Volume of liquid vertically above the surface × Acceleration due to gravity
The volume of liquid vertically above the surface is equal to the surface area of the object multiplied by the depth of the object below the liquid surface. Hence, the weight of the liquid vertically above the submerged surface is given by:
Weight of liquid = Density of liquid × Surface area of object × Depth of object below the liquid surface × Acceleration due to gravity
Therefore, the correct option is B) Weight of the liquid vertically above it.
In contrast, option A is incorrect because the mass of the liquid vertically above the submerged surface is not relevant in the calculation of the hydrostatic force. Option C is incorrect because the force on a vertical projection of the surface is not equal to the vertical component of the hydrostatic force. Option D is incorrect because the product of pressure at the centroid and the surface area is not equal to the vertical component of the hydrostatic force.
When a curved surface is submerged in a liquid, it experiences a hydrostatic force due to the pressure exerted by the liquid. This hydrostatic force has two components: the vertical component and the horizontal component.
The vertical component of the hydrostatic force is the force that acts perpendicular to the surface and is responsible for the buoyancy of the object. The weight of the liquid vertically above the submerged surface is equal to the vertical component of the hydrostatic force.
The weight of the liquid vertically above the submerged surface is given by:
Weight of liquid = Density of liquid × Volume of liquid vertically above the surface × Acceleration due to gravity
The volume of liquid vertically above the surface is equal to the surface area of the object multiplied by the depth of the object below the liquid surface. Hence, the weight of the liquid vertically above the submerged surface is given by:
Weight of liquid = Density of liquid × Surface area of object × Depth of object below the liquid surface × Acceleration due to gravity
Therefore, the correct option is B) Weight of the liquid vertically above it.
In contrast, option A is incorrect because the mass of the liquid vertically above the submerged surface is not relevant in the calculation of the hydrostatic force. Option C is incorrect because the force on a vertical projection of the surface is not equal to the vertical component of the hydrostatic force. Option D is incorrect because the product of pressure at the centroid and the surface area is not equal to the vertical component of the hydrostatic force.
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The vertical component of the hydrostatic force on a submerged curved surface is thea)Mass of liquid vertically above itb)Weight of the liquid vertically above itc)Force on a vertical projection of the surfaced)Product of pressure at the centroid and the surface areaCorrect answer is option 'B'. Can you explain this answer?
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