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The center of buoyancy of a submerged body
- a)coincides with the center of gravity of the body
- b)coincides with the centroid of the displaced volume of the fluid
- c)is always below the center of gravity of the body
- d)is always above the centroid of the displaced volume of liquid
Correct answer is option 'B'. Can you explain this answer?
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The center of buoyancy of a submerged bodya)coincides with the center ...
The center of buoyancy is an important concept in fluid mechanics that relates to the stability of submerged bodies. It refers to the point at which the buoyant force acts on a submerged body. The correct answer to this question is option 'B', which states that the center of buoyancy coincides with the centroid of the displaced volume of the fluid.
Explanation:
The center of buoyancy is determined by the shape and position of the submerged body and the density of the fluid in which it is submerged. It is the point at which the upward buoyant force, exerted by the fluid on the body, can be considered to act.
When a body is submerged in a fluid, it displaces a volume of fluid equal to its own volume. This displaced volume is known as the buoyant force. The centroid of this displaced volume is the point where the center of buoyancy is located.
To understand why the center of buoyancy coincides with the centroid of the displaced volume, consider the following:
1. Archimedes' Principle: According to Archimedes' principle, an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. The buoyant force acts vertically upward through the center of buoyancy.
2. Symmetry: For a symmetrically shaped body, such as a rectangular block or a sphere, the center of buoyancy will coincide with the center of gravity. This is because the buoyant force acts vertically upward through the geometric center of the body.
3. Asymmetric Bodies: For bodies with irregular shapes or non-uniform density distributions, the center of buoyancy may not coincide with the center of gravity. In such cases, the center of buoyancy will be located at the centroid of the displaced volume of the fluid. This is because the buoyant force acts through the centroid of the displaced volume, which represents the average position of the fluid that has been displaced.
In summary, the center of buoyancy of a submerged body coincides with the centroid of the displaced volume of the fluid. This concept is crucial in understanding the stability and equilibrium of submerged bodies, especially for engineering applications such as ship design and marine structures.
Explanation:
The center of buoyancy is determined by the shape and position of the submerged body and the density of the fluid in which it is submerged. It is the point at which the upward buoyant force, exerted by the fluid on the body, can be considered to act.
When a body is submerged in a fluid, it displaces a volume of fluid equal to its own volume. This displaced volume is known as the buoyant force. The centroid of this displaced volume is the point where the center of buoyancy is located.
To understand why the center of buoyancy coincides with the centroid of the displaced volume, consider the following:
1. Archimedes' Principle: According to Archimedes' principle, an object immersed in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces. The buoyant force acts vertically upward through the center of buoyancy.
2. Symmetry: For a symmetrically shaped body, such as a rectangular block or a sphere, the center of buoyancy will coincide with the center of gravity. This is because the buoyant force acts vertically upward through the geometric center of the body.
3. Asymmetric Bodies: For bodies with irregular shapes or non-uniform density distributions, the center of buoyancy may not coincide with the center of gravity. In such cases, the center of buoyancy will be located at the centroid of the displaced volume of the fluid. This is because the buoyant force acts through the centroid of the displaced volume, which represents the average position of the fluid that has been displaced.
In summary, the center of buoyancy of a submerged body coincides with the centroid of the displaced volume of the fluid. This concept is crucial in understanding the stability and equilibrium of submerged bodies, especially for engineering applications such as ship design and marine structures.
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The center of buoyancy of a submerged bodya)coincides with the center ...
Concept:
Buoyancy:
When a body is either wholly or partially immersed in a fluid, a lift is generated due to the net vertical component of hydrostatic pressure forces experienced by the body. This lift is called the buoyant force and the phenomenon is called buoyancy.
Centre of buoyancy:
The line of the buoyant force is vertical and passes through the center of gravity of the displaced fluid i.e. the centroid of the displaced volume which is known as the center of buoyancy.
Buoyancy:
When a body is either wholly or partially immersed in a fluid, a lift is generated due to the net vertical component of hydrostatic pressure forces experienced by the body. This lift is called the buoyant force and the phenomenon is called buoyancy.
Centre of buoyancy:
The line of the buoyant force is vertical and passes through the center of gravity of the displaced fluid i.e. the centroid of the displaced volume which is known as the center of buoyancy.
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The center of buoyancy of a submerged bodya)coincides with the center of gravity of the bodyb)coincides with the centroid of the displaced volume of the fluidc)is always below the center of gravity of the bodyd)is always above the centroid of the displaced volume of liquidCorrect answer is option 'B'. Can you explain this answer?
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