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The horizontal component of force on a curved surface is equal to the
- a)Product of pressure at its centroid and area
- b)Weight of liquid retained by the curved area
- c)Force on a vertical projection of the curved surface
- d)Weight of liquid vertically above the curved surface
Correct answer is option 'C'. Can you explain this answer?
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The horizontal component of force on a curved surface is equal to thea...
The correct answer is option 'C', which states that the horizontal component of force on a curved surface is equal to the force on a vertical projection of the curved surface. Let's delve into the explanation of this concept.
Curved surfaces are commonly encountered in various engineering applications, such as in dams, tanks, and pipes. When a curved surface is in contact with a fluid, it exerts a force on the surface due to the pressure exerted by the fluid. This force can be resolved into two components: the vertical component and the horizontal component.
- Vertical Component of Force:
The vertical component of force on a curved surface is equal to the weight of the liquid vertically above the curved surface. This is because the pressure exerted by a fluid is directly proportional to the depth of the fluid and its density. Therefore, the weight of the liquid vertically above the curved surface is transferred as a vertical force on the surface.
- Horizontal Component of Force:
The horizontal component of force on a curved surface is equal to the force on a vertical projection of the curved surface. This can be understood by considering the equilibrium of forces acting on the fluid within the curved surface.
When a fluid is in equilibrium, the net force acting on it is zero. Therefore, the vertical and horizontal components of forces on the curved surface must balance each other. The vertical component of force is balanced by the weight of the liquid vertically above the curved surface. Consequently, the horizontal component of force is balanced by the force on a vertical projection of the curved surface.
This means that if we were to project the curved surface vertically onto a vertical plane, the force acting on this projection would be equal to the horizontal component of force on the curved surface. The magnitude and direction of this force on the vertical projection will be the same as the magnitude and direction of the horizontal component of force on the curved surface.
Hence, the correct answer is option 'C': the horizontal component of force on a curved surface is equal to the force on a vertical projection of the curved surface.
Curved surfaces are commonly encountered in various engineering applications, such as in dams, tanks, and pipes. When a curved surface is in contact with a fluid, it exerts a force on the surface due to the pressure exerted by the fluid. This force can be resolved into two components: the vertical component and the horizontal component.
- Vertical Component of Force:
The vertical component of force on a curved surface is equal to the weight of the liquid vertically above the curved surface. This is because the pressure exerted by a fluid is directly proportional to the depth of the fluid and its density. Therefore, the weight of the liquid vertically above the curved surface is transferred as a vertical force on the surface.
- Horizontal Component of Force:
The horizontal component of force on a curved surface is equal to the force on a vertical projection of the curved surface. This can be understood by considering the equilibrium of forces acting on the fluid within the curved surface.
When a fluid is in equilibrium, the net force acting on it is zero. Therefore, the vertical and horizontal components of forces on the curved surface must balance each other. The vertical component of force is balanced by the weight of the liquid vertically above the curved surface. Consequently, the horizontal component of force is balanced by the force on a vertical projection of the curved surface.
This means that if we were to project the curved surface vertically onto a vertical plane, the force acting on this projection would be equal to the horizontal component of force on the curved surface. The magnitude and direction of this force on the vertical projection will be the same as the magnitude and direction of the horizontal component of force on the curved surface.
Hence, the correct answer is option 'C': the horizontal component of force on a curved surface is equal to the force on a vertical projection of the curved surface.
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The horizontal component of force on a curved surface is equal to thea...
Horizontal component
- The Horizontal component of the total pressure force is equal to the total pressure force on the projected area of the curved surface in the vertical plane.
Vertical component
- The vertical component is equal to the weight of liquid supported by the curved surface upto the free liquid surface.
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The horizontal component of force on a curved surface is equal to thea)Product of pressure at its centroid and areab)Weight of liquid retained by the curved areac)Force on a vertical projection of the curved surfaced)Weight of liquid vertically above the curved surfaceCorrect answer is option 'C'. Can you explain this answer?
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The horizontal component of force on a curved surface is equal to thea)Product of pressure at its centroid and areab)Weight of liquid retained by the curved areac)Force on a vertical projection of the curved surfaced)Weight of liquid vertically above the curved surfaceCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The horizontal component of force on a curved surface is equal to thea)Product of pressure at its centroid and areab)Weight of liquid retained by the curved areac)Force on a vertical projection of the curved surfaced)Weight of liquid vertically above the curved surfaceCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The horizontal component of force on a curved surface is equal to thea)Product of pressure at its centroid and areab)Weight of liquid retained by the curved areac)Force on a vertical projection of the curved surfaced)Weight of liquid vertically above the curved surfaceCorrect answer is option 'C'. Can you explain this answer?.
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