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- 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 semicircular plate of radius 5ft rests vertically on its diameter at the bottom of a pool filled with water to a depth of6ft. Assume that the water’s weight density is62.4lb/ft3.•Find the force exerted by the water against on side of the plate.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?
- Problem 1. What is the mass of the ball in kg, if it weighs 300 Kgr? Problem 2. A closed drum contains oil with a height of .75 meters. What is the pressure at the bottom of the container? (Specific Gravity of oil is 0.845) Problem 3. A drinking glass of water has a height of 12.7cm, if the height of the water inside is half of the glass, what is the absolute pressure at the bottom of the glass? Problem 4. An engineer made his own temperature scale name "Ligem Scale". Its boiling point scale is 400 Ligem and its freezing point scale is 150 Ligem. Derive the Formula for the conversion of Ligem to Celsius. What is 355 Ligem in Celsius? m Problem 5. A stream of air is passing through a pipe in a steady flow process. The velocity is 18- at the kg 0.25 meter-diameter entrance with a density of 1.20 m3 If the velocity of the air at the exit section is lb what is the diameter of the pipe at the exit? m 30", density is 0.078- ft3 ,In Fig., the hydrostatic force F is the same on thebottom of all three containers, even though the weights ofliquid above are quite different. The three bottom shapesand the fl uids are the same. This is called the hydrostaticparadox . Explain why it is true and sketch a free body ofeach of the liquid columns.A loaded scow has draft of 1.6 m in sea water (sg = 1.03) when in upright position. The scow is 6 m wide and 12 m long and 2.4 m high. The center of gravity of the scow is 1.8 m above the bottom along the vertical axis of symmetry. Assume that the center of buoyancy is located half of the height of draft. What is the maximum single weight in kN that can be moved transversely from the center of the unloaded scow over the top edge without sinking the scow? (Considering rolling position)
- The magnitude of the buoyant force is proportional to the volume of fluid displaced by the object. Select one: O True O False The center of gravity of the floating body and its center of buoyancy must lie on the same vertical axis. Select one: O True O False An object with a larger density than that of a fluid floats in that fluid. Select one: O True O FalseA 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 ?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.)
- In the following figure, the cylindrical body floats in the position shown. What is its weight in N? cylindrical body 4 cm 10 cm Water -D= 10 cm-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 00.44As 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.