2.3. Fluid Mechanics Problem Solving

Try these first

1. 1.

   What is surface tension in fluids?

   Hint

   Think about it as the skin on the surface of the water.

2. 2.

   Explain equilibrium in fluid mechanics.

   Hint

   Consider a balanced scale.

3. 3.

   What is the role of surface tension in fluids?

   • To pull the fluid down
   • To create lift
   • To increase pressure

   Hint

   Think about how liquids behave on a surface.

4. 4.

   True or False: The metacentric height is not relevant to stability in ships.

   • True
   • False

   Hint

   Remember the balance principle in ships.

5. 5.

   A fluid with a density of 850 kg/m³ is in a container with fluid at 1200 kg/m³. Calculate the height difference in two connected manometers if the pressure is 5 kPa.

   Hint

   Consider the pressure imbalance due to both fluid densities.

6. 6.

   A ship with a metacentric height of 0.4 meters has a period of rolling of 15 seconds. Calculate the radius of gyration.

   Hint

   Recall the formulas that relate oscillation to stable fluid behavior.