10.3. Derivations of Hydrostatic Pressures

Try these first

1. 1.

   What is the formula for hydrostatic pressure?

   Hint

   Remember to include atmospheric pressure.

2. 2.

   Describe how pressure acts on a horizontal surface.

   Hint

   Think about the distribution pattern.

3. 3.

   What is hydrostatic pressure affected by?

   • Depth of the fluid
   • Temperature of the fluid
   • Type of fluid only

   Hint

   Think about the formula reflecting depth.

4. 4.

   True or False: The center of pressure is always above the centroid of a submerged surface.

   • True
   • False

   Hint

   Consider how the pressure acts on different areas.

5. 5.

   Design a stepwell considering seasonal fluctuation in water level, calculate the resultant forces using hydrostatic pressure principles.

   Hint

   Evaluate forces at various depths based on the formula and integration techniques.

6. 6.

   Evaluate a submerged circular plate under two fluid layers of different densities. Determine the net force and center of pressure.

   Hint

   Break it down by calculating each fluid's contribution and superimpose their effects.