1.5.1. GATE Question - Semi-Cylindrical Gate

Try these first

1. 1.

   What is hydrostatic pressure?

   Hint

   Refer to the formula P = ρgh.

2. 2.

   How does pressure change with depth?

   Hint

   Use the formula for hydrostatic pressure to illustrate.

3. 3.

   What is the formula representing hydrostatic pressure?

   • P = ρg
   • P = ρgh
   • P = g/ρ

   Hint

   Remember the parameters involved in calculating pressure.

4. 4.

   Is the moment about a hinge of a stationary gate always zero?

   • True
   • False

   Hint

   Consider what equilibrium means for forces and moments.

5. 5.

   A cylindrical gate of height 3 meters and radius 1 meter is fully submerged. Calculate the total force acting on the gate and the moment about the hinge at the bottom.

   Hint

   Consider the areas and how pressure varies with depth.

6. 6.

   For a semi-cylindrical gate with a diameter of 2 meters submerged to a depth of 4 meters, determine the force needing to balance both horizontal and vertical components to maintain equilibrium.

   Hint

   Break it down into horizontal and vertical forces.