1.1. Static Surface Forces

Try these first

1. 1.

   What formula do we use to calculate the pressure at a depth in a fluid?

   Hint

   Remember that pressure increases with depth.

2. 2.

   Define buoyant force.

   Hint

   Think about how submerged objects behave in water.

3. 3.

   What is the formula to calculate hydrostatic pressure as a function of depth?

   • p = ρgh
   • p = hg/ρ
   • p = A/F

   Hint

   Think about how pressure changes as you go deeper underwater.

4. 4.

   Is the resultant force always directed vertically upwards?

   • True
   • False

   Hint

   Consider how pressure acts at a point.

5. 5.

   A trapezoidal plate is submerged at an angle in water. The top base is 1m long, the bottom base is 2m long with a height of 1m. Calculate the total resultant force acting on one face if the water depth is 3 meters.

   Hint

   Break down into differential elements and integrate the pressure.

6. 6.

   A submerged object has its centroid located 2 meters below the water surface. If it displaces 1500 kg of water, calculate the buoyant force acting on the object.

   Hint

   Remember that density of water is 1000 kg/m³.