The Leary Engineering Company (see Popular Science, November 2000, p. 14) has proposed a ship hull with hinges that allow it to open into a flatter shape when entering shallow water. A simplified version is shown in Fig. D2.3. In deep water, the hull cross section would be triangular, with large draft. In shallow water, the hinges would open to an angle as high as
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Fluid Mechanics
- When floating in water (SG = 1.0), an equilateral triangu- 'ar body (SG = 0.9) might take one of the two positions shown in Fig. P2.134. Which is the more stable position? Assume large width into the paper. %3D (a) (b) P2.134arrow_forwardA barge pulled by a tugboat can be described as a rect- angular box that is open on the top. A certain barge is 30.2 feet wide and 12.50 feet high, with the base of each side being 116 feet long. If the barge itself weighs 6.58 x 10 pounds, what will be the draft (depth in the water) if the cargo weighs 1.12 × 10°pounds in (a) sea- water with a density of 1.025 g/mL and (b) freshwater with a density of 0.997 g/mL?arrow_forwardA sphere 3 ft in diameter floats half-submerged in a tank of oil (SG₂ = 0.80). (a) What is the buoyant force, F. (lb)? (b) What is the weight, W, (lb) of the sphere? (c) What is the minimum weight, Wancher, (lb) of an anchor weighing 150 lb/ft that will be required to submerge the sphere completely?arrow_forward
- A wooden log of 0.8m diameter and 6m length is floating in water. Find the depth of wooden log in water when the specific gravity of the wooden log is 0.7? (Fluid Mechanics)arrow_forwardJohn Ninomiya is floating in sky with a cluster of helium-filled balloons. Each balloon has a radius of 1 m, density of air at that altitude is 1.13 kg/m^3, his body weight is 70 kg. How many balloons are needed? Ignore the weight of the balloons.arrow_forwardThe bottom of a steel "boat" is a 7 m ✕ 8 m ✕ 5 cm piece of steel (ρsteel = 7900 kg/m3). The sides are made of 0.480 cm thick steel. What minimum height must the sides have for this boat to float in perfectly calm water? (Answer in cm, thanks)arrow_forward
- A circular plate of radius 2ft is lowered to a liquid (w=1000 lb/ft^3) so that its center is 4 ft below the surface. Find the force on the lower half of the plate.arrow_forwardAn aquarium 7ft long, 3ft wide, and 5ft deep is full of water. The gravitational acceleration is g = 32ft/s². The density of water is p = 1.95slug/ft³. Answer the following questions. 1. Find the hydrostatic pressure on the bottom of the aquarium. Answer (in pounds per sq. foot): 2. Find the hydrostatic force on the bottom of the aquarium. Answer (in pounds): 3. Find the hydrostatic force on one end of the aquarium. Answer (in pounds): FIarrow_forwardShow the details of your solutions with dimension analysis! 3. An empty long neck bottle with an upper cylinder diameter of 1 inch, withthe length of 4 inches and lower cylinder measures 4 inches in diameterand length of 5 inches is vertically immersed in a body of water. How deepwill you submerged the bottle from the mouth opening in order to occupythe whole bottle neck with water.arrow_forward
- Gate AB in Fig. P2.51 is 1.2 m long and 0.8 m into the paper. Neglecting atmospheric pressure, compute the force F on the gate and its center-of-pressure position X. 6 m Oil, SG = 0.82 4 m 8 m 1.2 Xв 40° P2.51arrow_forward3. Suppose that in the Magdeburg hemisphere demonstration we replace the hollow sphere with a hollow cube, with a volume of 1 cubic foot. The cube is bisected into two equal halves and the seams are sealed with grease. When the cube is evacuated, what is the maximum force (in lbs) needed to pull the cube apart (at sea level)? Does it matter how the cube is bisected?arrow_forwardSeawater has a density of 1030 kg/m3. You are designing a deep sea submersible that has a volume of 17 m3 and is shaped like a sphere. If the walls of the submersible are made out of stainless steel with a density of 7700 kg/m3 , how thick should the walls be to create a neutrally buoyant submersible?arrow_forward
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