A body is float and submerged in sea water (s.g. = 1.03) and has a weight of 641,750 kN. If the ratio of the upper %3D volume and the lower volume with respect to the sea wate surface is 0.40, determine the upper volume of the body.
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- The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.The thin-walled cylindrical can with a spherical dimple weighs 0.2 lb. Determine the force P required to push the can into water to a depth of 8 in. Use =0.036lb/in.3 for water.A body is float and submerged in sea water (s.g. = 1.03) and has a weight of 641,750 kN. If the ratio of the upper volume and the lower volume with respect to the sea water surface is 0.40, determine the upper volume of the body. 1. SWS SWS 2. In Problem 1, determine the total volume of the body.
- 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 ?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.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 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.3. A certain metal has a volume of 0.025 cu.m and when immersed in water, it weighs 500 N. Calculate the specific gravity of the object. 4. A piece of wood (sg = 0.60) 15 cm by 25 cm and 2.0 m long is floating upright in water. Determine the weight of iron, (sg = 7.8), in N, that must be fastened at the bottom of the wood such that 50 cm is above the water surface.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.
- Situation. A right circular cylinder having a diameter of 1.00 m and weighing 900 N is held in position by an anchor block such that 0.30 m of the cylinder is below the surface of the water with its axis vertical. The anchor block has a volume of 0.50 cubic meters and weighs 24 kN per cubic meter in air. Assume sea water to have specific gravity of 1.03. Neglecting the weight and volume of the cable. 1. Evaluate the buoyant force on the cylinder for the position described, in kN. O 2.15 O 4.25 O 2.95 O 2.38 2. Evaluate the tensile force in wire for the given draft, in kN. 0 3.25 0 3.95 01.48 01.95 3. Evaluate the rise in the tide that will lift the anchor from the bottom of the sea, in meters. 00.53 0 0.69 00.96 00.44An open cubic tank of side length 2 m is completely filled with water. If the surface of the water and the outside of the tank are subject to atmospheric pressure, what are the hydrostatic forces acting on: Each side of the tank? The base of the tank?1. Determine the hydrostatic force acting on a vertical trapezoidal section whose upper base is flushed parallel to the liquid surface. The top base measures 2 m and the lower base is twice the length of its top. One of its remaining side is upright vertical while the other is inclined 45° with the horizontal. Calculate as well the location of its center of pressure. 6 m 2. The tank shown contains alcohol (SG=o.78) and covered by a diameter Calculate the bydrostatic force E