2.3.10. Final Fluid Mechanics Problem

Try these first

1. 1.

   What is equilibrium in fluid mechanics?

   Hint

   Think of how liquids behave when still.

2. 2.

   Define surface tension.

   Hint

   Consider how small items can float on a water surface.

3. 3.

   What principle states that for fluids in equilibrium, the upward forces equal downward forces?

   • Bernoulli's Principle
   • Hydrostatic Equilibrium
   • Pascal's Law

   Hint

   Think about fluids in a container.

4. 4.

   True or False: A higher metacentric height leads to increased rolling period in ships.

   • True
   • False

   Hint

   Recall how ships behave when waves roll them.

5. 5.

   Determine the pressure needed to achieve horizontal mercury levels in a manometer connected to two different fluids: oil with specific density 900 kg/m³ and water.

   Hint

   Consider the height differences that arise with the balance!

6. 6.

   Calculate the work done when a single droplet of radius R splits into n smaller droplets of radius r, given surface tension σ.

   Hint

   Understand how volume conservation affects surface area!