11.4.2. Center of Buoyancy

Try these first

1. 1.

   What is buoyancy?

   Hint

   Think of it as the force that allows boats to float.

2. 2.

   What does the center of buoyancy represent?

   Hint

   Consider where the effect of the fluid displacement is centered.

3. 3.

   What is the principle behind buoyancy?

   • It is always equal to the weight of the submerged object
   • It is equal to the weight of the fluid displaced
   • It is dependent on the shape of the object

   Hint

   Consider the definition of buoyancy.

4. 4.

   True or False: The center of buoyancy is always below the center of gravity.

   • True
   • False

   Hint

   Think about how buoyancy and gravity interact.

5. 5.

   Calculate the metacentric height of a rectangular barge of dimensions 4m x 2m x 1m floating in water. Assume the density of water is 1000 kg/m³.

   Hint

   Use the formula relating buoyant force and volume.

6. 6.

   A ship is designed such that its center of gravity is raised. Discuss how this could affect its stability.

   Hint

   Consider the effect of height on the leverage and balance of forces.