Consider a homogeneous right circular cylinder of lengthL , radius R , and specifi c gravity SG =0.5, fl oating in water(SG = 1). Show that the body will be stable with its axishorizontal if L / R > 2.0.
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Consider a homogeneous right circular cylinder of length
L , radius R , and specifi c gravity SG =0.5, fl oating in water
(SG = 1). Show that the body will be stable with its axis
horizontal if L / R > 2.0.
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- H.W2: The tank in Fig. is 40cm wide. Determine the hydrostatic forces on horizontal plan BC and AD? Fluid Mechanics I MSC. Enaš Hashim Abed Lecturer: 55 cm- 40cm - -10cm 35c Solvent, sg 0.84 Water 25cThe object shown below is stable and floating in the water. (1) Please match center of gravity cg, the center of buoyancy cb, and the metacenter mc with correct points A, B or C for Figure (a).The object shown below is stable and floating in the water. (1) Please match center of gravity cg, the center of buoyancy cb, and the metacenter mc with correct points A, B or C for Figure (b).
- + 141% - 98 / 865 THIS TOICE cS OWwu, uougn e ceo or me paraone secuon, or a ustance 3x/8 force on the dam is 3.75 ft over from the origin, as shown in Figs. E2.8b,c. The resultant hydrostatic F= (Fi+ F = [(899E3 lbf) + (499E3 Ibf)2 1028 x 10' lbf at 29 Ans. %3D This resultant is shown in Fig. E2.8c and passes through a point 8 ft up and 3.75 ft over from the origin. It strikes the dam at a point 5.43 ft over and 7.07 ft up, as shown. • Commenis: Note that entirely different formulas are used to calculate Fy and Fy. The concept of center of pressure CP is, in the writer's opinion, stretched too far when applied to curved surfaces. Resultant = 1028 x 10' Ibf acts along z = 10.083 – 0.5555x 3.75 ft Fy 499 x 10 Ibf F=899 x 10' Ibf Parabola z = 0.24x? 29 7.07 ft 8 ft 5.43 ft E2.8c pile How these values come ?The iceberg idealization may becomeunstable if its sides melt and its height exceeds its width. InFig. suppose that the height is L and the depth intothe paper is L , but the width in the plane of the paper isH , L. Assuming S =0.88 for the iceberg, fi nd the ratio H / Lfor which it becomes neutrally stable (about to overturn).3. H20 Giren : Reclangular lom Sabmenged object l nodth ww = Im of 45° Roguered: F= hydrostatic force YR weation f %3D center Presruns
- Answer the following. A: When the pressure of liquid is increased from 3.5 MN/m² to 6.5 MN/m² its volume is found to decrease by (0.08) percent. What is the bulk modulus of elasticity of the liquid? B: An open cylindrical tank (1.2m) in diameter and (1.8m) deep is filled with water and rotated about its central axis at (60 r.p.m). How much liquid is spill and how deep of the water at the central axis.Gate AB in Fig. is a homogeneous mass of 180 kg,1.2 m wide into the paper, hinged at A , and resting on asmooth bottom at B . All fl uids are at 20 ° C. For what waterdepth h will the force at point B be zero?A cylind er with density, p. height, h, radius, r is partially submerging at 6tatic, with depth, u in a fluid with density, Po, os shown Ratio o f a Circ Um ference to its diameter is T1. Determine all the forces acting on the cglinder at y-direction
- A plate in the shape of an isosceles right triangle with side length 4 meters is submerged in water sothat its hypotenuse is facing down, and its right angle vertex is level with the surface of the water. Findthe hydrostatic force on one side of the plate. How can I properly set up the intergral. I thought the answer should be about 147929 N but I could be wrong.A cubical tank is 3 m x 3 m x 3 m and is layered with1 meter of fl uid of specifi c gravity 1.0, 1 meter of fl uid withSG = 0.9, and 1 meter of fl uid with SG= 0.8. Neglectatmospheric pressure. Find ( a ) the hydrostatic force on thebottom and ( b ) the force on a side panel.(a) A rectangular, fully enclosed tank 2.4m long, 1.4m wide and 0.8m high is constructed of sheet metal weighing 443.6 kg-f (force). The tank floats in sea water of density 1025kg/m³ with its 0.8m sides vertical. If the centre of gravity is at the geometric centre of the vessel, calculate the metacentric height and comment on the stability of the tank. (b) A hydrometer is an instrument used for measuring the relative density of liquids based on the concept of buoyancy. A particular hydrometer is 80 cm in length. When placed in pure water, 50cm of the hydrometer is submerged and it reads 1.000 as shown in Figure 1. i) Calculate the density of the hydrometer? ii) When placed in Alcohol, 65 cm of the hydrometer is submerged beneath the alcohol. Calculate the density of alcohol? iii) Determine the reading of the hydrometer when it is in the alcohol? iy What will happen when this hydrometer place in Pentane (p-625 kgm): Fluid surface 1.00 Hydrometer- 80 cm 50cm Figure 1: A hydrometer
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