Hydrostatic Forces on Surfaces

A sliding gate 2 m wide and 1.5 m high lies in a vertical plane and has a co-efficient of friction of 0.2 between itself and guides. If the gate weighs one tonne, find the vertical force required to raise the gate if its upper edge is at a depth of 4 m from the free surface of water.

Sliding Gate Friction Problem Problem Statement A sliding gate 2 m wide and 1.5 m high lies in a vertical […]

A sliding gate 2 m wide and 1.5 m high lies in a vertical plane and has a co-efficient of friction of 0.2 between itself and guides. If the gate weighs one tonne, find the vertical force required to raise the gate if its upper edge is at a depth of 4 m from the free surface of water. Read More »

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 12 m wide at the bottom, and 8 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is 1 m below the top level of the caisson and the dock is empty.

Trapezoidal Caisson Pressure Problem Problem Statement A caisson for closing the entrance to a dry dock is of trapezoidal form,

A caisson for closing the entrance to a dry dock is of trapezoidal form, 16 m wide at the top and 12 m wide at the bottom, and 8 m deep. Find the total pressure and centre of pressure on the caisson if the water on the outside is 1 m below the top level of the caisson and the dock is empty. Read More »

The opening in a dam is 3 m wide and 2 m high. A vertical sluice gate is used to cover the opening. On the upstream of the gate, the liquid of sp. gr. 1.5, lies up to a height of 2.0 m above the top of the gate, whereas on the downstream side, the water is available up to the height of the top of the gate. Find the resultant force acting on the gate and the position of the centre of pressure.

Sluice Gate with Two Liquids Problem Problem Statement The opening in a dam is 3 m wide and 2 m

The opening in a dam is 3 m wide and 2 m high. A vertical sluice gate is used to cover the opening. On the upstream of the gate, the liquid of sp. gr. 1.5, lies up to a height of 2.0 m above the top of the gate, whereas on the downstream side, the water is available up to the height of the top of the gate. Find the resultant force acting on the gate and the position of the centre of pressure. Read More »

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 5 m and altitude 5 m when the plate is immersed vertically in an oil of sp. gr. 0.8. The base of the plate is 1 m below the free surface of the oil.

Isosceles Triangle Pressure Problem Problem Statement Determine the total pressure and centre of pressure on an isosceles triangular plate of

Determine the total pressure and centre of pressure on an isosceles triangular plate of base 5 m and altitude 5 m when the plate is immersed vertically in an oil of sp. gr. 0.8. The base of the plate is 1 m below the free surface of the oil. Read More »

The pressure at the centre of a pipe of diameter 3 m is 29.43 N/cm². The pipe contains oil of sp. gr. 0.87 and is fitted with a gate valve. Find the force exerted by the oil on the gate and the position of the centre of pressure.

Pressurized Pipe Gate Problem Problem Statement The pressure at the centre of a pipe of diameter 3 m is 29.43

The pressure at the centre of a pipe of diameter 3 m is 29.43 N/cm². The pipe contains oil of sp. gr. 0.87 and is fitted with a gate valve. Find the force exerted by the oil on the gate and the position of the centre of pressure. Read More »

A circular opening, 3 m diameter, in a vertical side of a tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate: (i) the force on the disc, and (ii) the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 6 m

Circular Disc Force and Torque Problem Problem Statement A circular opening, 3 m diameter, in a vertical side of a

A circular opening, 3 m diameter, in a vertical side of a tank is closed by a disc of 3 m diameter which can rotate about a horizontal diameter. Calculate: (i) the force on the disc, and (ii) the torque required to maintain the disc in equilibrium in the vertical position when the head of water above the horizontal diameter is 6 m Read More »

A rectangular sluice gate is situated on the vertical wall of a lock. The vertical side of the sluice is 6 m in length and depth of centroid of the area is 8 m below the water surface. Prove that the depth of the centre of pressure is given by 8.375 m.

Rectangular Sluice Gate Problem Problem Statement A rectangular sluice gate is situated on the vertical wall of a lock. The

A rectangular sluice gate is situated on the vertical wall of a lock. The vertical side of the sluice is 6 m in length and depth of centroid of the area is 8 m below the water surface. Prove that the depth of the centre of pressure is given by 8.375 m. Read More »

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the centre of the plate is 2 m below the free surface of water. Find the position of the centre of pressure also.

Circular Plate Pressure Problem Problem Statement Determine the total pressure on a circular plate of diameter 1.5 m which is

Determine the total pressure on a circular plate of diameter 1.5 m which is placed vertically in water in such a way that the centre of the plate is 2 m below the free surface of water. Find the position of the centre of pressure also. Read More »

Determine the total pressure and depth of centre of pressure on a plane rectangular surface of 1 m wide and 3 m deep when its upper edge is horizontal and (a) coincides with water surface (b) 2 m below the free water surface.

Rectangular Plate Pressure Problem Problem Statement Determine the total pressure and depth of centre of pressure on a plane rectangular

Determine the total pressure and depth of centre of pressure on a plane rectangular surface of 1 m wide and 3 m deep when its upper edge is horizontal and (a) coincides with water surface (b) 2 m below the free water surface. Read More »

A tank contains water up to a depth of 1.5 m. The length and width of the tank are 4 m and 2 m respectively. The tank is moving up an inclined plane with a constant acceleration of 4 m/s². The inclination of the plane with the horizontal is 30°. Find: (i) the angle made by the free surface of water with the horizontal, and (ii) the pressure at the bottom of the tank at the front and rear ends.

Tank Accelerating Up an Inclined Plane Problem Statement A tank contains water up to a depth of 1.5 m. The

A tank contains water up to a depth of 1.5 m. The length and width of the tank are 4 m and 2 m respectively. The tank is moving up an inclined plane with a constant acceleration of 4 m/s². The inclination of the plane with the horizontal is 30°. Find: (i) the angle made by the free surface of water with the horizontal, and (ii) the pressure at the bottom of the tank at the front and rear ends. Read More »

A tank containing water up to a depth of 500 mm is moving vertically upward with a constant acceleration of 2.45 m/s². The width of the tank is 2 m. Find the force exerted by the water on the side of the tank. Also calculate the force on the side of the tank when (i) the tank is moving vertically downward with a constant acceleration of 2.45 m/s², and (ii) the tank is not moving at all.

Vertically Accelerating Tank Problem Problem Statement A tank containing water up to a depth of 500 mm is moving vertically

A tank containing water up to a depth of 500 mm is moving vertically upward with a constant acceleration of 2.45 m/s². The width of the tank is 2 m. Find the force exerted by the water on the side of the tank. Also calculate the force on the side of the tank when (i) the tank is moving vertically downward with a constant acceleration of 2.45 m/s², and (ii) the tank is not moving at all. Read More »

A rectangular tank of length 6 m, width 2.5 m and height 2 m is completely filled with water when at rest. The tank is open at the top. The tank is subjected to a horizontal constant linear acceleration of 2.4 m/s² in the direction of its length. Find the volume of water spilled from the tank.

Spilling Water from an Accelerating Tank Problem Statement A rectangular tank of length 6 m, width 2.5 m and height

A rectangular tank of length 6 m, width 2.5 m and height 2 m is completely filled with water when at rest. The tank is open at the top. The tank is subjected to a horizontal constant linear acceleration of 2.4 m/s² in the direction of its length. Find the volume of water spilled from the tank. Read More »

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