Centre of buoyancy always -a)Coincides with the centre of gravityb)Co...
Coincides with the centric of the volume of the displaced fluid
The center of buoyancy is the point where if you were to take all of the displaced fluid and hold it by that point, it would remain perfectly balanced, assuming you could hold fluid in a fixed shape. The center of buoyancy for an object is the center of mass for the fluid it displaces.
Hence correct answer is option B.
View all questions of this test
Centre of buoyancy always -a)Coincides with the centre of gravityb)Co...
The centre of buoyancy refers to the point at which the buoyant force, also known as the upward force exerted on an object submerged or floating in a fluid, is considered to act. It is an important concept in fluid mechanics and is closely related to the stability and equilibrium of objects in fluids.
The correct answer to the given question is option 'B', which states that the centre of buoyancy coincides with the centroid of the volume of the displaced fluid. Let's understand why this is the case:
1. Definition of the Centre of Buoyancy:
- The centre of buoyancy is the point at which the buoyant force can be considered to act on an object.
- It is the centroid of the volume of the fluid that is displaced by the object.
2. Understanding Buoyant Force:
- The buoyant force is the upward force exerted on an object submerged or floating in a fluid.
- It is equal to the weight of the fluid displaced by the object.
- The buoyant force always acts vertically upward through the centre of buoyancy.
3. Relationship between Centre of Buoyancy and Centre of Gravity:
- The centre of gravity refers to the point at which the weight of an object can be considered to act vertically downward.
- For an object in equilibrium, the centre of gravity and the centre of buoyancy must coincide.
- This is because the object experiences a net zero force (weight - buoyant force) and a net zero moment (torque) about any axis.
4. Centre of Buoyancy and Volume of Displaced Fluid:
- When an object is submerged in a fluid, it displaces a certain volume of fluid.
- The shape of the object and the volume of the displaced fluid determine the location of the centre of buoyancy.
- The centre of buoyancy is always located at the centroid of the displaced fluid's volume.
- It is important to note that the centre of buoyancy can change if the object changes shape or orientation in the fluid.
In conclusion, the centre of buoyancy coincides with the centroid of the volume of the displaced fluid. This is because the buoyant force acts vertically upward through this point, and for an object in equilibrium, the centre of buoyancy and the centre of gravity must coincide.