1.5.3. Object Submerged in Fluid

Try these first

1. 1.

   What is the formula for hydrostatic pressure?

   Hint

   Think about the variables involved in calculating pressure.

2. 2.

   What does buoyant force depend on?

   Hint

   Relate this to Archimedes' principle.

3. 3.

   What is the hydrostatic pressure at a depth of 3 meters in water? (Assume ρ = 1000 kg/m³, g = 9.81 m/s²)

   • 29.43 kPa
   • 30.46 kPa
   • 31.59 kPa

   Hint

   Make sure to convert the units as necessary.

4. 4.

   True or False: The buoyant force acting on a submerged object is equal to its weight.

   • True
   • False

   Hint

   Think about how buoyancy works.

5. 5.

   A cube of side 30 cm is fully submerged in water. Calculate the buoyant force and discuss its impact if the cube has a mass of 20 kg.

   Hint

   Remember that buoyant force equals weight of fluid displaced!

6. 6.

   Design a rectangular gate (1.5m x 2m) under a water tank and calculate the force acting on it at a depth of 1m. Discuss how the pressure distribution affects the required force.

   Hint

   Don't forget to consider the force's line of action for equilibrium analysis!