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Consider the following statements regarding a plane areasub merged in a liquid:
1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.
2. The total force is the product of the area and the pressure atits centroid.
Of these statements:
1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.
2. The total force is the product of the area and the pressure atits centroid.
Of these statements:
- a)1 alone is correct
- b)2 alone is correct
- c)Both 1 and 2 are false
- d)Both 1 and 2 are correct
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements regarding a plane areasub merged in ...
Ans. (d)
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Consider the following statements regarding a plane areasub merged in ...
Explanation:
When a plane area is submerged in a liquid, it experiences a force due to the pressure exerted by the liquid on its surface. This force is known as buoyant force.
Statement 1: The total force is the product of specific weight of the liquid, the area and the depth of its centroid.
This statement is correct. The buoyant force acting on the submerged plane area is given by:
Buoyant force = Specific weight of liquid x Area of the plane area x Depth of centroid
where, specific weight of liquid is the weight of the liquid per unit volume.
Statement 2: The total force is the product of the area and the pressure at its centroid.
This statement is also correct. The buoyant force can also be expressed as:
Buoyant force = Pressure at centroid x Area of the plane area
where, pressure at centroid is the pressure exerted by the liquid at the centroid of the plane area.
Therefore, both statements 1 and 2 are correct.
In summary:
- A plane area submerged in a liquid experiences buoyant force due to the pressure exerted by the liquid on its surface.
- The buoyant force can be expressed as the product of specific weight of the liquid, area of the plane area and depth of its centroid or as the product of pressure at its centroid and area of the plane area.
- Both statements 1 and 2 are correct.
When a plane area is submerged in a liquid, it experiences a force due to the pressure exerted by the liquid on its surface. This force is known as buoyant force.
Statement 1: The total force is the product of specific weight of the liquid, the area and the depth of its centroid.
This statement is correct. The buoyant force acting on the submerged plane area is given by:
Buoyant force = Specific weight of liquid x Area of the plane area x Depth of centroid
where, specific weight of liquid is the weight of the liquid per unit volume.
Statement 2: The total force is the product of the area and the pressure at its centroid.
This statement is also correct. The buoyant force can also be expressed as:
Buoyant force = Pressure at centroid x Area of the plane area
where, pressure at centroid is the pressure exerted by the liquid at the centroid of the plane area.
Therefore, both statements 1 and 2 are correct.
In summary:
- A plane area submerged in a liquid experiences buoyant force due to the pressure exerted by the liquid on its surface.
- The buoyant force can be expressed as the product of specific weight of the liquid, area of the plane area and depth of its centroid or as the product of pressure at its centroid and area of the plane area.
- Both statements 1 and 2 are correct.
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Consider the following statements regarding a plane areasub merged in a liquid:1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.2. The total force is the product of the area and the pressure atits centroid.Of these statements:a)1 alone is correctb)2 alone is correctc)Both 1 and 2 are falsed)Both 1 and 2 are correctCorrect answer is option 'D'. Can you explain this answer?
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Consider the following statements regarding a plane areasub merged in a liquid:1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.2. The total force is the product of the area and the pressure atits centroid.Of these statements:a)1 alone is correctb)2 alone is correctc)Both 1 and 2 are falsed)Both 1 and 2 are correctCorrect 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 Consider the following statements regarding a plane areasub merged in a liquid:1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.2. The total force is the product of the area and the pressure atits centroid.Of these statements:a)1 alone is correctb)2 alone is correctc)Both 1 and 2 are falsed)Both 1 and 2 are correctCorrect 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 Consider the following statements regarding a plane areasub merged in a liquid:1. The total force is the product of specific weight of the liquid,the area and the depth of its centroid.2. The total force is the product of the area and the pressure atits centroid.Of these statements:a)1 alone is correctb)2 alone is correctc)Both 1 and 2 are falsed)Both 1 and 2 are correctCorrect answer is option 'D'. Can you explain this answer?.
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