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What is the vertical component of pressure force on submerged curved surface equal to?
- a)Its horizontal component
- b)The force on a vertical projection of the curved surface
- c)The product of the pressure at centroid and surface area
- d)The gravity force of liquid vertically above the curved surface up tothe free surface
Correct answer is option 'D'. Can you explain this answer?
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What is the vertical component of pressure force on submerged curved s...
Ans. (d) The vertical component of the hydrostatic force on a submerged curved surface is the weight of the liquid vertically above it.
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What is the vertical component of pressure force on submerged curved s...
The vertical component of the pressure force on a submerged curved surface is equal to the gravity force of the liquid vertically above the curved surface up to the free surface. This can be explained by considering the principles of fluid mechanics.
1. Pressure Force on a Curved Surface:
When a curved surface is submerged in a fluid, the pressure exerted on the surface varies with depth. The pressure increases with depth due to the weight of the fluid above it. This pressure force can be decomposed into two components: the vertical component and the horizontal component.
2. Vertical Component of Pressure Force:
The vertical component of the pressure force acts perpendicular to the curved surface, in the upward direction. It is equal to the weight of the liquid column above the curved surface up to the free surface. This component is responsible for supporting the weight of the liquid above the curved surface.
3. Gravity Force of Liquid:
The weight of the liquid column vertically above the curved surface is equal to the gravity force acting on that liquid column. This force is given by the equation F = ρghA, where ρ is the density of the fluid, g is the acceleration due to gravity, h is the height of the liquid column, and A is the cross-sectional area of the curved surface.
4. Relationship between Vertical Component and Gravity Force:
Since the vertical component of the pressure force is equal to the gravity force of the liquid above the curved surface, we can conclude that the vertical component of the pressure force is equal to the weight of the liquid column above the curved surface up to the free surface.
Hence, option 'D' is the correct answer, as it states that the vertical component of the pressure force on the submerged curved surface is equal to the gravity force of the liquid vertically above the curved surface up to the free surface.
1. Pressure Force on a Curved Surface:
When a curved surface is submerged in a fluid, the pressure exerted on the surface varies with depth. The pressure increases with depth due to the weight of the fluid above it. This pressure force can be decomposed into two components: the vertical component and the horizontal component.
2. Vertical Component of Pressure Force:
The vertical component of the pressure force acts perpendicular to the curved surface, in the upward direction. It is equal to the weight of the liquid column above the curved surface up to the free surface. This component is responsible for supporting the weight of the liquid above the curved surface.
3. Gravity Force of Liquid:
The weight of the liquid column vertically above the curved surface is equal to the gravity force acting on that liquid column. This force is given by the equation F = ρghA, where ρ is the density of the fluid, g is the acceleration due to gravity, h is the height of the liquid column, and A is the cross-sectional area of the curved surface.
4. Relationship between Vertical Component and Gravity Force:
Since the vertical component of the pressure force is equal to the gravity force of the liquid above the curved surface, we can conclude that the vertical component of the pressure force is equal to the weight of the liquid column above the curved surface up to the free surface.
Hence, option 'D' is the correct answer, as it states that the vertical component of the pressure force on the submerged curved surface is equal to the gravity force of the liquid vertically above the curved surface up to the free surface.
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What is the vertical component of pressure force on submerged curved surface equal to?a)Its horizontal componentb)The force on a vertical projection of the curved surfacec)The product of the pressure at centroid and surface aread)The gravity force of liquid vertically above the curved surface up tothe free surfaceCorrect answer is option 'D'. Can you explain this answer?
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What is the vertical component of pressure force on submerged curved surface equal to?a)Its horizontal componentb)The force on a vertical projection of the curved surfacec)The product of the pressure at centroid and surface aread)The gravity force of liquid vertically above the curved surface up tothe free surfaceCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the vertical component of pressure force on submerged curved surface equal to?a)Its horizontal componentb)The force on a vertical projection of the curved surfacec)The product of the pressure at centroid and surface aread)The gravity force of liquid vertically above the curved surface up tothe free surfaceCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the vertical component of pressure force on submerged curved surface equal to?a)Its horizontal componentb)The force on a vertical projection of the curved surfacec)The product of the pressure at centroid and surface aread)The gravity force of liquid vertically above the curved surface up tothe free surfaceCorrect answer is option 'D'. Can you explain this answer?.
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