Find the position of centre of buoyancy for a wooden block of width 5 m and depth 1 m, when it floats horizontally in water. The density of wooden block id 850 kg/m3 and its length 4.0 m.
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- The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate and the smooth surface at B due to water pressure acting on the gate. Use =62.4lb/ft3 for water.right cylindrical object has a diameter of 1526 mm and a height of 2.1m. The density of water is 1000 kg/m3. If the right cylindrical object is placed in the water, what is the buoyant force?Consider the hemispherical gate attached to a cylindrical buoy as shown in the figure. The thickness of and weight of the cable connecting the buoy and the gate are negligible. Which of the following is the volume above the hemispherical gate that is needed in the calculation of the vertical component of the resultant hydrostatic force acting on it? 4m Y? 3 m Select one: O a. cylinder up to the liquid surface O b. cylinder up to the liquid surface minus the hemisphere O c. cylinder up to the bottom surface of the buoy O d. cylinder up to the bottom surface of the buoy minus the hemisphere
- Solve Correctly A cylinder object is suspended in a liquid at a distance of 38cm below the surface. The diameter of the object is 140cm and the density of the object is 960 kg/m3. The density ratio is 1. Determine the height of the cylinder, if the buoyant force is 7N.A door in the side of a tank is 3.1 m wide and 5.7 m high the tank is filled with oil of relative density 0.78 to a position 1m above the top of the door. What is the line of action of the force from the surface in meters.A semicircular gate with a diameter of 6 ft is installed at 50º as shown below. The top of the gate is 5 ft below the water surface. Determine the resulting hydrostatic force and the location of the center of pressure on the gate.
- A ship of displacement 36000 tonne carries oil fuel in four tanks 16.0 m long and 6.0 m broad, the tanks arranged with their length in the fore and aft direction. The specific gravity of the oil is 0.84, and the density of seawater inwhich the ship is floating is 1020 kgm-3. For a ship of this size, the metacentric height is at least 500 mm. What is the reduction of the metacentric height of the ship because of the oil that is contained in the tanks and how serious is this reduction? Please discuss further your conclusions.A plate has the shape of a circle with radius 5 m. The plate is submerged vertically in water so that thebottom of the plate is 15 m below the surface of the water. Find the hydrostatic force exerted on the platedue to the hydrostatic pressure of the water.A 10 m x 15 m rectangular plate is submerged in water at 6 m. The plate is inclined at 35deg with the horizontal. The specific weight of water is given by y = 9.81 kN/m3. Obtain the resultant force of pressure on the plate.
- Determine the submerged depth of a cube of steel 0.4m on each side floating in mercury. The specific gravities of steel and mercury are 7.8 and 13.6, respectively. Find the volume of the water displaced and position of centre of buoyancy for a wooden block of width 3.0m and depth 2.0m, when it floats horizontally in water. The density of wooden block is 600kg/m³ and its length 8.0m. A rectangular pontoon is 5m long, 3m wide and 1.2m high. The depth of immersion of the pontoon is 0.8m in the sea water. If the centre of gravity is 0.6m above the bottom of the pontoon, determine the metacentric height. The density for sea water is 1025kg/m³. A block of wood of specific gravity 0.7 floats in water. Determine the metacentric height of the block if its size is 2m x 1m x 0.8m. A solid cylinder of diameter 4m has a height of 4m. Find the metacentric height of the cylinder if the specific gravity of the material of cylinder is 0.6 and it is floating in water with its axis vertical. State…A trough is full of liquid of weight density 9,000 N/m3. The ends of the trough are equilateral triangles with sides 2 m long and with vertex at the bottom. Setup the integral for the force on one end of the trough. (Hint: Put the bottom of the trough along the x-axis.)A glass tube of internal diamoter 3mm is immersed in mercury. The angle of contact of mercury with glass can be taken as 130°. What will be tho level of Hg in the tube relative to the free surface of the liquid outside the tube? Take surface tension of liquid = 0.48 N/m.