Hydrostatic Force

  1. Consider a glass plate (lamina) in the shape of an isosceles triangle with side-lengths five, five, and six. Suppose we submerge this plate in water.
    1. If we submerge the plate “flat” in the water at a depth of three meters, how much hydrostatic force is the plate experiencing?
    2. If we submerge the plate tip-first into the water with the long edge of the plate along the water’s surface, how much hydrostatic force is the plate experiencing?

  2. Suppose you submerge trapezoid-shaped glass plate into a pool of water as shown. Measurements are in meters.

    1. What is the total amount of hydrostatic force the plate is experiencing?
    2. What is the total amount of hydrostatic force the plate would experience if lowered five meters deeper into the water?
    3. If the plate is rated to withstand \(1\,\text{million N}\) of force, at what depth should we begin to worry that it’ll break?