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The centre of gravity of the volume of the liquid displaced by an immersed body is called
- a)meta-centre
- b)centre of pressure
- c)centre of buoyancy
- d)centre of gravity
- e)none of the above
Correct answer is option 'C'. Can you explain this answer?
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The centre of gravity of the volume of the liquid displaced by an imme...
Centre of Buoyancy:
The centre of buoyancy is the centre of gravity of the volume of liquid displaced by an immersed body. It is the point at which the buoyant force, acting upwards through the centre of gravity of the displaced liquid, acts vertically upwards.
Importance:
Understanding the centre of buoyancy is crucial in the design and stability of ships, submarines, and other floating structures. It helps determine the equilibrium of the immersed body and its tendency to return to its original position when tilted.
Calculation:
The centre of buoyancy can be calculated by finding the centroid of the displaced volume of liquid. For simple shapes like cubes or spheres, this can be calculated using basic geometry. For more complex shapes, numerical methods or computer simulations may be required.
Stability:
The location of the centre of buoyancy relative to the centre of gravity of the immersed body determines its stability. If the centre of buoyancy is above the centre of gravity, the body will be stable. If it is below, the body will be unstable and tend to capsize.
Conclusion:
In conclusion, the centre of buoyancy is a critical concept in understanding the behavior of floating bodies in fluids. It helps engineers design stable and efficient structures that can float and operate effectively in various conditions.
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The centre of gravity of the volume of the liquid displaced by an immersed body is calleda)meta-centreb)centre of pressurec)centre of buoyancyd)centre of gravitye)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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