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The distance of the centre of pressure from the surface of the liquid is ________ of the density of the liquid.
- a)dependent
- b)independent
- c)inversely proportional
- d)directly proportional
Correct answer is option 'B'. Can you explain this answer?
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The distance of the centre of pressure from the surface of the liquid...
Centre of Pressure from the surface of the liquid is given by
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h*= Centre of Pressure from the surface of the liquid
I = Moment of inertia of the section about an axis parallel to free surface passing through the centroid of the area
h¯ = depth of centroid below the free surface
∴ The distance of the centre of pressure from the surface of liquid is independent of the density of liquid.
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The distance of the centre of pressure from the surface of the liquid...
Centre of Pressure and Density of Liquid
Introduction
When an object is submerged in a liquid, it experiences a force called the buoyant force. This force is equal to the weight of the liquid displaced by the object. The point where this force is applied is known as the centre of pressure.
Dependence on Density
The distance of the centre of pressure from the surface of the liquid is not dependent on the density of the liquid. It is determined by the shape and size of the submerged object and the depth of its immersion.
Independent
Therefore, the centre of pressure is independent of the density of the liquid. This means that if we submerge the same object in liquids of different densities, the centre of pressure will remain the same.
Inversely Proportional
However, it is worth noting that the buoyant force is directly proportional to the density of the liquid. This means that the greater the density of the liquid, the greater the buoyant force experienced by the submerged object.
Directly Proportional
Conversely, the weight of the liquid displaced by the object is also directly proportional to the density of the liquid. This means that the greater the density of the liquid, the greater the weight of the liquid displaced by the object.
Conclusion
In conclusion, the distance of the centre of pressure from the surface of the liquid is independent of the density of the liquid. It is determined by the shape and size of the submerged object and the depth of its immersion. However, the buoyant force and weight of the liquid displaced by the object are directly proportional to the density of the liquid.
Introduction
When an object is submerged in a liquid, it experiences a force called the buoyant force. This force is equal to the weight of the liquid displaced by the object. The point where this force is applied is known as the centre of pressure.
Dependence on Density
The distance of the centre of pressure from the surface of the liquid is not dependent on the density of the liquid. It is determined by the shape and size of the submerged object and the depth of its immersion.
Independent
Therefore, the centre of pressure is independent of the density of the liquid. This means that if we submerge the same object in liquids of different densities, the centre of pressure will remain the same.
Inversely Proportional
However, it is worth noting that the buoyant force is directly proportional to the density of the liquid. This means that the greater the density of the liquid, the greater the buoyant force experienced by the submerged object.
Directly Proportional
Conversely, the weight of the liquid displaced by the object is also directly proportional to the density of the liquid. This means that the greater the density of the liquid, the greater the weight of the liquid displaced by the object.
Conclusion
In conclusion, the distance of the centre of pressure from the surface of the liquid is independent of the density of the liquid. It is determined by the shape and size of the submerged object and the depth of its immersion. However, the buoyant force and weight of the liquid displaced by the object are directly proportional to the density of the liquid.
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The distance of the centre of pressure from the surface of the liquid is ________ of the density of the liquid.a)dependentb)independentc)inversely proportionald)directly proportionalCorrect answer is option 'B'. Can you explain this answer?
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