2. Forces on Plane Areas

Try these first

1. 1.

   What is the formula for pressure at a certain depth?

   Hint

   Think about factors influencing pressure in a fluid.

2. 2.

   What does the center of pressure denote?

   Hint

   Consider the impact of varying pressures with depth.

3. 3.

   What does the resultant force on a submerged surface depend on?

   • Depth of fluid
   • Shape of surface
   • Fluid type

   Hint

   Think about how pressure varies with depth.

4. 4.

   True or False: The buoyant force always acts vertically upwards.

   • True
   • False

   Hint

   Recall the definition of buoyant force.

5. 5.

   Calculate the force on a rectangular gate of dimensions 3m x 2m at a depth of 4 meters in a tank of water. Consider density of water = 1000 kg/m³.

   Hint

   Start with finding pressure first!

6. 6.

   Discuss the relationship between buoyancy and the forces acting on submerged surfaces, illustrating with an object's submerged height change.

   Hint

   Consider scenarios like a submerged object slowly sinking.