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Which one of the following statement is CORRECT about the centre of buoyancy?
- a)It is the point where buoyant force act.
- b)It coincides with the centroid of volume of water displaced
- c)It is the point where buoyant force act and It coincides with the centroid of volume of water displaced
- d)It acts outside the body.
Correct answer is option 'C'. Can you explain this answer?
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Which one of the following statement is CORRECT about the centre of bu...
Objects in a fluid experience an upward force. Whenever an object is immersed in a fluid, either liquid or gas, it experiences a buoyant force. A buoyant force is a force which pushes upward on an object and is caused by displaced fluid.
The centre of buoyancy is the point where the resultant Buoyant force acts, It is the point of the C.G of the displaced fluid.
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Which one of the following statement is CORRECT about the centre of bu...
Statement: The correct statement about the centre of buoyancy is that it is the point where buoyant force acts and it coincides with the centroid of the volume of water displaced.
Explanation:
The centre of buoyancy plays a crucial role in understanding the behavior of floating and submerged objects. It is important to understand its definition and its relationship with the buoyant force and the volume of water displaced.
Definition of the Centre of Buoyancy:
The centre of buoyancy is the point at which the buoyant force, exerted by a fluid on a submerged or floating object, acts vertically upwards. It is the effective point of application of the resultant buoyant force.
Relationship with the Volume of Water Displaced:
When an object is submerged or floating in a fluid, it displaces a certain volume of the fluid. This displaced volume of fluid experiences an upward buoyant force. The centre of buoyancy coincides with the centroid of this volume of water displaced.
Explanation of the Correct Statement:
The correct statement is option C, which states that the centre of buoyancy is the point where the buoyant force acts and it coincides with the centroid of the volume of water displaced.
- The Point of Buoyant Force: The buoyant force acts vertically upwards through the centre of buoyancy. This force is equal to the weight of the fluid displaced by the object, according to Archimedes' principle. This force counteracts the weight of the object, resulting in buoyancy.
- The Centroid of Volume of Water Displaced: The centroid of a volume is the geometric center or the average position of all the points in the volume. In the case of the volume of water displaced by a submerged or floating object, the centroid represents the average position of all the points within that volume. The centre of buoyancy coincides with this centroid.
By understanding the definition and relationship between the centre of buoyancy, buoyant force, and the volume of water displaced, we can accurately predict the behavior of floating and submerged objects. The correct statement, option C, encompasses both aspects and provides a comprehensive understanding of the centre of buoyancy.
Explanation:
The centre of buoyancy plays a crucial role in understanding the behavior of floating and submerged objects. It is important to understand its definition and its relationship with the buoyant force and the volume of water displaced.
Definition of the Centre of Buoyancy:
The centre of buoyancy is the point at which the buoyant force, exerted by a fluid on a submerged or floating object, acts vertically upwards. It is the effective point of application of the resultant buoyant force.
Relationship with the Volume of Water Displaced:
When an object is submerged or floating in a fluid, it displaces a certain volume of the fluid. This displaced volume of fluid experiences an upward buoyant force. The centre of buoyancy coincides with the centroid of this volume of water displaced.
Explanation of the Correct Statement:
The correct statement is option C, which states that the centre of buoyancy is the point where the buoyant force acts and it coincides with the centroid of the volume of water displaced.
- The Point of Buoyant Force: The buoyant force acts vertically upwards through the centre of buoyancy. This force is equal to the weight of the fluid displaced by the object, according to Archimedes' principle. This force counteracts the weight of the object, resulting in buoyancy.
- The Centroid of Volume of Water Displaced: The centroid of a volume is the geometric center or the average position of all the points in the volume. In the case of the volume of water displaced by a submerged or floating object, the centroid represents the average position of all the points within that volume. The centre of buoyancy coincides with this centroid.
By understanding the definition and relationship between the centre of buoyancy, buoyant force, and the volume of water displaced, we can accurately predict the behavior of floating and submerged objects. The correct statement, option C, encompasses both aspects and provides a comprehensive understanding of the centre of buoyancy.
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Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer?
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Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. 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 Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. 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 Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer?.
Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. 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 Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. 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 Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer?.
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Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Which one of the following statement is CORRECT about the centre of buoyancy?a)It is the point where buoyant force act.b)It coincides with the centroid of volume of water displacedc)It is the point where buoyant force act and It coincides with the centroid of volume of water displacedd)It acts outside the body.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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