10.2.1. Pressure Calculations on Surfaces

Try these first

1. 1.

   What is hydrostatic pressure?

   Hint

   Think about how pressure changes with depth.

2. 2.

   How does pressure act on a horizontal surface?

   Hint

   Consider the formula for pressure.

3. 3.

   What is the formula for hydrostatic pressure?

   • P = P_{atm} + ho g h
   • P = ho g h
   • P = P_{atm} - ho g h

   Hint

   Think about the components that contribute to total pressure.

4. 4.

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

   • True
   • False

   Hint

   Consider the distribution of pressure on the surface.

5. 5.

   A large cylindrical tank is filled with water 10 meters deep. Calculate the hydrostatic pressure at a point 8 meters below the surface and the total force acting on the curved surface of the cylinder.

   • Assume diameter is 4 meters.

   Hint

   Remember to find the area of the curved surface and include atmospheric pressure in your calculations.

6. 6.

   A vertical gate measuring 3m x 2m is submerged in water at a depth of 6 meters. Determine the center of pressure and the total hydrostatic force on the gate.

   • What is the formula used and how do we relate the center of pressure to its centroid?

   Hint

   Consider the relationship between depth, area, and pressure distribution.