QI. A closed cylindrical tank of diumeter 2.0m, height 1.2 m and weighing 20 KN is. floating with its axis vertical in sea water (relative density 1.25). (a) Find the depth of the cylinder below the water surface. (b) What would be the depth of immersion if an additional load of 5.0 KN is added at the top?
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- B3. A rectangular plate of width 35 mm, depth =85 mm is vertically placed in water in such a way that the centre of the plate is 3.25 m below the free surface of water. Draw the diagram neatly. Find the total pressure & center pressure on the plate. (Enter only the values by referring the unit given. Also upload the hand written answers in the link provided) Total Pressure on the circular plate (in N) Centre of Pressure on the circular plate (in m)A triangular gate having horizontal base of 1.0m and an altitude of 1.5m is inclined 45° from the vertical with the vertex pointing upward. The vertex of the gate is 2.4m vertically below the surface of the water. What normal force , in KN, must be applied at the vertex of the gate to open it's hinged at the base?A metal block 2 ft square and 10 in. deep is floated on a body of liquid which consists of an 8-in layer of water above a layer of mercury. The block weighs 120 lb/ft3. What is the position of the bottom of the block? If a downward vertical force of 500 lb is applied to the center of this block, what is the new position of the bottom of the block ?
- Q3) Compute the horizontal and vertical components of the water pressure acting on the face of tainter gate AB of 72° sector of radius 25 ft as shown in Fig.2.Take the width of the gate as unity. The specific weight of water = 62.4 Ib/ft³. 25ft Water C 25-ft radius 36° + 36⁰As 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 cylinder weighing 445 N and having a diameter of 1 m floats in salt water (sp.gr. 1.03) vertically. It has an anchor tied to the cylinder, where the anchor rest at the bottom of the earth. The anchor weigh 23540 N/m3 and has a volume of 0.280 m3. What height “h” above the water surface will be required to lift the anchor off the bottom of the water when a high tide occur? The part of the cylinder is submerged 0.30 m below the salt water.
- The total pressure force of a square plate is 25 kN, placed vertically in water so that the center of the plate is 1.5 m below the free surface. Determine the size of the plate and the depth of center of pressure. The above square plate is taken out of the water which weighs 370.5 N in air and 180.3 N in water of specific gravity 0.99. Find the volume and specific gravity of the square plate. Draw a neat sketch.1. Hydrostatic Force on Plane Surface. An open rectangular tank is 6 m high and has a square base 4 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.A cubical box, 1.5 m on each side, has its base horizontal and is half-filled with water. The remaining is filled with air under a gage pressure of 82 kPa. One of the vertical sides is hinged at the top and is free to swing inward. To what depth can the top of the box be submerged in an open body of fresh water without allowing any water to enter?
- 2. of 1.0 Two oil tanks are connected to each other through a manometer. If the difference between the mercury levels in the two arms is 32 inches, determine the pressure difference between the two tanks. The specific gravities for oil and mercury are 0.72 and 13.6, respectively. 3. A 3 rectangular gate is hinged at the top edge A and is restrained by a fixed ridge at B. Determine the hydrostatic force exerted on the gate by the 5 m high water and the location of the line of action of the force Oil P₁ 10 in 32 in 2m Oil P₂ MercuryB3. A rectangular plate of width 45 mm, depth =60 mm is vertically placed in water in such a way that the centre of the plate is 3.25 m below the free surface of water. Draw the diagram neatly. Find the total pressure & center pressure on the plate. Total Pressure on the circular plate (in N) Centre of Pressure on the circular plate (in m)3. a. solve for total hydrostatic force, F. (in kN) b. Solve for the location or point of application of the total hydrostatic force F to the gate. use the water surface as the reference of measurement of depth of location (in m) c. what is the magnitude of the force at point at point A shall be applied to the gate to oppose the solved total hydrostatic force so as to keep the gate on its position? (in kN)