10.3.2. Integration for Total Hydrostatic Force

Try these first

1. 1.

   What happens to hydrostatic pressure as depth increases?

   Hint

   Think about the weight of the water column above.

2. 2.

   Define what a centroid is in the context of fluid mechanics.

   Hint

   It's the average location of the shape's area.

3. 3.

   How does hydrostatic pressure vary with depth?

   • True
   • False

   Hint

   Think about what happens when you go deeper underwater.

4. 4.

   What shape does the pressure distribution take on a vertical submerged wall?

   • Uniform
   • Trapezoidal
   • Circular

   Hint

   Consider how pressure is felt differently at different heights.

5. 5.

   Calculate the total hydrostatic force acting on a submerged rectangular surface of 2m x 5m at a depth of 3m, considering water density is 1000 kg/m³ and g = 9.81 m/s².

   Hint

   Break down the calculation into parts: find the pressure, then multiply it by the area.

6. 6.

   You have a vertical submerged wall with a depth of 4m. How do you find the center of pressure? Why is it below the centroid?

   Hint

   Consider that the weight of the water contributes more force at deeper sections.