5. Center of Pressure

Try these first

1. 1.

   What happens to pressure as you go deeper in a fluid?

   Hint

   Think about weight in terms of columns of fluid.

2. 2.

   Define the center of pressure.

   Hint

   How is it related to the centroid?

3. 3.

   What is the formula to calculate the resultant force on a submerged surface?

   • F = pA
   • F = ρgh
   • F = mv^2

   Hint

   Look for the key terms in pressure calculation.

4. 4.

   True or False: The center of pressure is always found at the centroid of the area.

   • True
   • False

   Hint

   Recall the variations in pressure with depth.

5. 5.

   A circular gate has a radius of 0.5 m and is submerged 2 m deep in water. Calculate the resultant force and locate the center of pressure.

   Hint

   Use π = 3.14 for area.

6. 6.

   You have a 1 meter long inclined triangular plate submerged at 3 meters depth in water; find yR taking moments and using the formula.

   Hint

   Translate angles to sin for calculating depths.