4.2. Calculating xR

Try these first

1. 1.

   What is the formula to calculate pressure at a certain depth in a fluid?

   Hint

   Remember the variables involved: density, gravity, and depth.

2. 2.

   Define buoyancy.

   Hint

   Think about what happens to an object in water.

3. 3.

   What is the formula for calculating pressure at a specific depth?

   • p = ρg/h
   • p = ρgh
   • p = gh/ρ

   Hint

   Think about how pressure relates to depth.

4. 4.

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

   • True
   • False

   Hint

   Remember that pressure changes with depth.

5. 5.

   A rectangular submerged surface has dimensions 2m x 3m and is located at a depth of 5m. Calculate the resultant force acting on the surface.

   Hint

   Use the pressure formula to find p.

6. 6.

   A curved surface submerged in a fluid has a radius of 1m and is located at a depth of 4m. Derive the equation for the resultant force acting on this surface.

   Hint

   Think about how pressure varies with angles on the curve.