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- FluidAs shown in the illustration, a 6-m-wide, 15-m-long barge is filled with rocks and floats in water. Assume that the rocks' and barge's center of gravity, G, is positioned along the centerline at the barge's surface. What is the metacentric height in meters if the barge carrying the rocks weights 1,765.8 kN?1. Hydrostatic Force on Plane Surface. An open rectangular tank is 7 m high and has a square base 5 m on a side. If the tank is half-filled with fresh water (density is 1000 kg/m'), determine (a) the total hydrostatic force on a vertical side, in kN and (b) the location of the center of pressure as measured from the liquid surface, in cm. Draw the side view of tank showing the hydrostatic force F and the distance, yp. Is I + Ad a. Magnitude: F = yh,A b.Direction: Perpendicular to the Area c. Location: y, === S.
- 1.When a double-bottom tank is full of fresh water it holds 120 tonnes.Find how many tonnes of ol of relative density 0.84 it will hold. 2. A tank measures 20 m. X 24m X 10.5 m. and contains oil of relative density 0.84.Find the mass of oll it contains when the ullage is 2.bm. (Ulage is the distance from the surface of the liquid in the tank to the top of the tank)A balloon inflated with helium gas (density = 0.2 kg/m3) has a volume of 6 x 10-3 m³. If the density of air is 1.3 kg/m³, what is the buoyant force exerted %3D on the balloon?A semicircular gate with a radius R = 7 ft is hinged along B and held by a horizontal force FA applied at A. The picture on the right shows the gate if you were looking in the direction of the arrow beneath FA. The liquid to the left of the gate has a specific weight of y-64.8 lbf/ft° and a depth of H-26 ft. Calculate the force of the liquid on the gate in Ibf. FA A Gate: side view R В
- 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.1. A metal plate determined by y = x2 submerged in water as show. Find the total hydrostatic force on 16 the plate. You may leave the density of water as p and gravity as g. Give exact answer. (20,25) Gusten Lo woter level metal plate 16Use Image below Question: Gate AB is 2 m long and 1.8 m into the paper. Neglecting atmospheric pressure, compute the force F on the gate and its center-of-pressure position X.
- A door in the side of a tank is 3.1 m wide and 5.2 m high, the tank is filled to the top of the door with water of density 1000kg/m3. What is the force on the door in N?As shown in the illustration, a 6-m-wide, 15-m-long barge is filled with rocks and floats in water. Assume that the rocks' and barge's center of gravity, G, is positioned along the centerline at the barge's surface. What is the metacentric height in meters if the barge carrying the rocks weights 1,765.8 kN? Only round off on the final answer, Use three decimal places.A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The gate is an isosceles triangle with a base/width of 0.7 m and a height of 1.4 m. What force (F) applied at the gate's centroid is needed to keep the gate closed? The height from the water surface to the gate centroid is given by h = 4.9 m. Please note that the side view of the gate is shown and that the force is applied at the gate's centroid, although not accurately drawn.