12.2.3. Rigid Body Rotations and Centrifugal Forces

Try these first

1. 1.

   What fraction of an iceberg is submerged in water?

   Hint

   Consider the density of ice compared to water.

2. 2.

   What happens to the center of buoyancy when underwater melting occurs?

   Hint

   Think about how melting affects the balance of forces.

3. 3.

   What is the fraction of an iceberg visible above water?

   • 1/2
   • 1/8
   • 7/8

   Hint

   Remember the density difference.

4. 4.

   True or False: The center of buoyancy always stays in the same location.

   • True
   • False

   Hint

   Consider how melting could change buoyancy.

5. 5.

   Explain the implications of melting ice for an iceberg's stability, using theoretical and practical examples.

   Hint

   Consider both engineering designs and natural observations.

6. 6.

   Analyze a scenario where fluid in a rotating tank overflows; derive the conditions necessary for this to occur.

   Hint

   Examine the relationship between fluid height and rotational speed.