6.1. Rectangle Properties

Try these first

1. 1.

   What happens to fluid pressure as depth increases?

   Hint

   Think about swimming in a pool.

2. 2.

   What is the formula for calculating the resultant force on a horizontal surface?

   Hint

   Recall the relationship between pressure and area.

3. 3.

   What is the relationship between pressure and depth in a fluid?

   • Pressure decreases with depth
   • Pressure remains constant
   • Pressure increases with depth

   Hint

   Consider how deep you go while swimming.

4. 4.

   Is the buoyant force on a submerged object equal to its weight?

   • True
   • False

   Hint

   Think of a fully submerged object.

5. 5.

   A submerged rectangular gate 2m wide and 3m tall is located 5m below the surface of a water tank. Calculate the total force acting on the gate and the position of the center of pressure.

   Hint

   Use the integration of moments to find the center of pressure location.

6. 6.

   In a fluid with a density of 1000 kg/m^3, determine the buoyant force acting on a sphere with a radius of 0.5m fully submerged under the fluid.

   Hint

   Don't forget to calculate the volume of the sphere first.