Design the optimal cylindrical tank with dishedends (Fig. P16.3). The container is to hold
(a) Design the tank so that its surface area is minimized. Interpret the result.
(b) Repeat part (a), but add the constraint
FIGURE P16.3
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Chapter 16 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- Global warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length, Ah (in mm), of a column of water 1.5 km high for a temperature increase of 1.2 °C.Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth. Properties of water: 3 = 210 x 10 /C. c= 4186 J/kg - °C, L; = 334 kJ/kg, Le = 2256 kJ/kg Enter you answer below (to the nearest mm): Ah (in mm) = Type your answer.arrow_forwardWhen a clean glass tube with a diameter of 2 mm is immersed in water at 20 ° C, how many mm will the capillary rise occur in the glass tube? For water at 20 ° C, surface tension is given as 0.073 N / m, density 1000 kg / m3, contact angle 0 ° C and gravitational acceleration 10 m / s2.arrow_forward6. DETAILS A tennis ball has a volume of 141.00 cm³ and an average density of 275.00 What is the tennis ball's mass, in grams? g kg m³ O 73.37 N MY NOTES What amount of force would need to be applied to cause the tennis ball to be completely submerged in ethyl alcohol (Pethyl alcohol=806- the vertical direction (weight, buoyant force, and applied force). When writing the buoyant force, note that the ball will be fully submerged. What does this do to V?) 1.11 N 0.73 N 0.38 N 38.00 N 7337.36 N ASK YOUR TEACHER kg -)? (HINT: Set up a FBD and look at all the forces acting inarrow_forward
- 6.A cylindrical buoy 60 cm in diameter and 1.80 m high weighs 2810N. It is moored in salt water (s= 1.03) to a 12.0 m long chain weighing 117.70 N/m. At high tide, their is a protrusion of 84 cm of the top of the buoy surface. What would be the amount of the protrusion if the tide drops by 2.10 m. Specific weight of the chain is 76.42 KN/m^3. A. 90 cm B. 92 cm C. 94 cm D. 96 cmarrow_forwardTwo spheres, one heavier and weighing12000 N and of diameter 1.2 m and the other lighter and weighing 4000 N, are tied with a rope and placed in seawater. The density of sea water is 1025 kg/m^3. It was found that the spheres floated vertically with the lighter sphere just under the water PROBLEM 0surface. Illustrate the problem before answering the following questions:a)Determine the diameter of the lighter sphere in meters.b) Determine the tension in the rope in Newtons.arrow_forwardPlease answer neatly For a vertical rectangular gate, one side has linseed oil (0.938) and the other has two fluids—castor oil (0.96) and water. Considering a unit-width of the gate, apply the PRESSURE PRISM CONCEPT (Illustrate and label the pressure diagram/prism) to calculate the magnitude and direction of the following when z = 7m.a.The hydrostatic force due to linseed oil F1. b.The hydrostatic force due to castor oil F2. c.The hydrostatic force due to water. d.The net hydrostatic force acting on the gate Fnetarrow_forward
- Directions: Solve the following problems completely, and make a detailed solution. Any incompletesolution arriving at such answers will never be considered. A barrel contains a 15 cm layer of oil of density 5.88 kN/m3 floating on water that is 30 cm deep. What is the gauge pressure in mmHg at the oil-water interface?arrow_forwardPLEASE PLEASE HELP SOLVE THIS, A swimming pool is 30 ft wide and 60 ft long and its bottom is an inclined plane, the shallow end having a depth of 4 ft and the deep end, 8 ft. Assume the pool is full of water. (Round your answers to the nearest whole number. Recall that the weight density of water is 62.5 lb/ft3.) (c) Estimate the hydrostatic force (in lb) on one of the sides.arrow_forward1.The density p Determine how the density varies with pressure along the depth h. The density at the surface of the fluid is of a fluid varies with depth h, although its bulk modulus K can be assumed constant. Po. 2.A circular disc of diameter (D) is slowly rotated with angular velocity of ( wi) in a liquid of large viscosity (u) at a small distance (h) from another moving disc at counter clockwise rotation of (w2), as shown in figure (2). Derive an expression of torque (T) necessary to this case. D Figure (2)arrow_forward
- Solve the Given Problem: If the specific gravity of the unknown fluid is 13.37 what us its specific weight in lbf/ft^33arrow_forward4. Find the dimensions of an oil storage tank shown below resulting in a minimum cost using optimal conditions. Cost of the lids is $10 per m², the lifelong maintenance of its surface is $80 per m² and the main body tank surface cost is $8 per m². The overall volume is fixed at 60 m³. M Lid 1 Lid 2.arrow_forward5. The bulk modulus of compression......... (a) is independent of temperature of pressure and viscosity (b) increases with the pressure (c) is independent (d) has a dimensionless unit 6. If a non-uniform solid body weighs 500 N in air and when it is completely submerged in water its weighs is 300 N. If it has a volume of 0.0136 m³ then its specific gravity is.......... (c) 2.5 (d) 3.0 (e) none of these (a) 1.5 (b) 1.7 7. A flat plate of area 1.5 m² is pulled with a speed of 0.4 m/s relative to another plate with a distance of 0.15 mm clearance between them. For a fluid viscosity of 0.1 Pa.s, the power required to maintain this speed is (a) 160 W (b) 100 W (c) 200 W (d) 400 W 8. A solid wooden cylinder (SG = 0.6) has diameter of 0.8 m and a height of 3 m, when the cylinder is floating vertically on its base in water then the submerged height of the cylinder is. (a) 1.1 m (b) 1.4 m (c) 1.8 m (d) 2.6 m 9. A wooden cube (SG=0.6), its base 5 cm x 5 cm and has 10 m height, floats vertically…arrow_forward
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