1.3. Formulas and Derivations

Try these first

1. 1.

   Define shear stress in the context of fluid mechanics.

   Hint

   Consider how forces act within the fluid.

2. 2.

   What does the dynamic viscosity represent?

   Hint

   Think of how easily a fluid flows.

3. 3.

   What is the formula for hydrostatic pressure?

   • P = ρgh
   • P = 2ρgh
   • P = ρg

   Hint

   Think about how pressure changes as you go deeper in water.

4. 4.

   True or False: Surface tension does not affect capillary rise.

   • True
   • False

   Hint

   Remember the role of surface tension in raising liquids.

5. 5.

   Calculate the net force on a triangular gate submerged in water with a base of 3m and height of 2m. Assume density of water is 1000 kg/m^3.

   Hint

   Remember to use the triangular pressure distribution formula.

6. 6.

   Analyze the stability of a floating cylinder with a radius of 0.5m and height of 2m. Water is the fluid. What parameters do you need to check?

   Hint

   Consider using the formulas for buoyant force and applying the conditions of stability.