A rectangular plate 0.6 m wide and 1.2 m deep lies within a water body such that its plane is inclined at 45° to the horizontal and the top edge is 0.70 m below the water surface. Determine the total pressure force on one side of the plate
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- One side of the container has a 03-m square door that is hinged at its top edge. If the container is filled with water, determine the smallest force F that must be applied to the bottom edge of the door to keep it closed.Consider a heavy car submerged in water in alake with flat bottom. The driver's side door of the car is1.1 m high and 0.9 m wide, and the top edge of the door is10 m below: the water surface Determine the net forceacting on the door ( normal to its surface) and the locationof the pressure center if : (a) the car is well-sealed and itcontains air at atmospheric pressure and (b) the car is filledwith water. (Ans:102.5 kN)An open barge has the dimensions shown in the figure. If the barge is made out of 5.5-cm-thick steel plate on each of its four sides and its bottom, what mass of coal can the barge carry in freshwater without sinking? Is there enough room in the barge to hold this amount of coal? (The density of coal is about 1500 kg/m3.)
- A 4-m-long quarter-circular gate of radius 2 m and of negligible weight is hinged about its upper edge A. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force required to keep the gate closed when the water level rises to A at the upper edge of the gate.A 4-m-long quarter-circular gate of radius 3 m and of negligible weight is hinged about its upper edge A, as shown. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force required to keep the gate closed when the water level rises to A at the upper edge of the gate.A circular plate 3.0 m diameter is immersed in water in such a way that the plane of the plate makes an angle of 60 degrees with the free surface of water. Determine the position of the center of pressure from the free surface when the upper edge of the plate is 2 m below the free water surface.
- A 30-cm-diameter, 10-cm-high vertical cylindrical vessel equipped with a vertical tube at the edge is rotated about its vertical axis at a constant angular velocity of 15 rad/s. If the water rise in the tube is 30 cm, determine the net vertical pressure force acting on the vessel.The distance between the centers of the two arms of a U-tube open to the atmosphere is 30 cm, and the U-tube contains 20 cm high alcohol in both arms. Now the U-tube is rotated about the left arm at 4.2 rad/s. Determine the elevation difference between the fluid surfaces in the tow arms.A bottle consisting of a cylinder 30 cm in diameter and 30 cm high has a neck 5 cm in diameter and 30 cm long. If the bottle, filled with air under normal atmospheric condition, is inverted and submerged in water until the neck is just filled with water, find the depth to which the open end is submerged. Neglect vapor pressure.
- A bottle consist of a cylinder 35 cm in diameter and 30 cm high and a neck 5 cm in diameter and 30 cm long. The bottle is inserted into a body of water, with the open end of the neck first until the neck is completely filled with water. Assuming the pressure of the atmosphere is standard, and neglecting vapor pressure, what is the depth to which the open end is submerged below the free surface? Show correct figure.A circular tank with a diameter of 4.5m is filled with two immiscible fluids. Water to a depth of 3m andoil with a relative density of 0,9 to a depth of 2mDetermine the Hydrostatic force acting on the verticalside of the tank and the position of the centre of pressure from the oil-free surface.A 4-m-long quarter-circular gate of radius 4 m and of negligible weight is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B, where the gate is pressed by a spring. Determine the minimum spring force (in N) required to keep the gate closed when the water level rises to A at the upper edge of the gate.