12.2.2. Pressure Gradients in Accelerated Fluids

Try these first

1. 1.

   What is the buoyant force on an object?

   Hint

   Think of it as an upward push from the fluid.

2. 2.

   Define metacentric height.

   Hint

   It influences how stable a floating object is.

3. 3.

   What is the main reason for the instability of an iceberg during underwater melting?

   • Increase in visible height
   • Shifting center of buoyancy
   • Decrease in water temperature

   Hint

   Think about the submerged part of the iceberg.

4. 4.

   True or False: A higher metacentric height indicates better stability in floating objects.

   • True
   • False

   Hint

   Consider what happens to object stability with height changes.

5. 5.

   An iceberg, initially submerged at 80% of its volume, begins to melt underwater. Determine the new submerged volume percentage when its buoyancy changes and causes a potential toppling.

   Hint

   Consider the change in submerged weight in relation to the total iceberg weight.

6. 6.

   A cylindrical tank filled with water accelerates horizontally at 5 m/s². Calculate the angle at which the water surface will tilt, using given parameters for density and gravity.

   Hint

   Recall the relationship between fluid dynamics and pressure gradient in acceleration.