A thread of mecury of capillary tube with uniform cross sectional area closed at one end with the tube vertical and the open and uppermost, the length of the length of the trapped air column is 20cm, calculate the length of air column when the tube is held a.horizontally b.vertically with the open end underneath (ATM 76cm of mecury)
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- Only expert should solve this questionAs shown in Figure 2.1, liquid of density pis trapped by a gate ABC of unit width into the plane of the page. The gate is hinged at C, and consists of a vertical section AB of length H and an inclined section BC also of length H inclined at an angle with respect to the horizontal. Obtain an expression for the force P required to hold the gate in position. Neglect the weight of the gate and friction in the hinge. Some geometric properties of a rectangle are provided in Figure 2.2, where the symbols have their usual meanings. |6|2 b y + X C Figure 2.1 b N|O 2 Rectangle H H P a Area A = ba 2 C: Centroid a 1xx,c= |yy,c= 1 12 1 12 ·ba³ ab³QV: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass. a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b. Determine the pressure change applied to the fluid by the small piston. c. Determine the magnitude Fout of the force that the fluid applies to the large piston.
- 11. Find the force exerted on one side of the annular disk shown in Fig. and also locate the center of pressure Water 3m 600 mmH.W: A hypodermic syringe contains a medicine with the density of water. The barrel of the syringe has a cross-sectional area (2.50x10-5) m2, and the needle has a cross-sectional area (1.00x10 8 ) m². In the absence of a force on the plunger, the pressure everywhere is 1.00 atm. A force F of magnitude 2.00 N acts on the plunger, making medicine squirt horizontally from the needle. Determine the speed of the medicine as it leaves the needles tip.(a) As shown in Figure 2.1, an architect with an artistic flair designs a gate ABC to trap liquid of density pin a canal. The gate is hinged at A and is of unit width into the plane of the page. Section AB of the gate corresponds to a circular quadrant of radius R centred at O. Section BC of the gate is vertical with a height of 2R. The height of the liquid in the canal is R. Neglect the weight of the gate and friction in the hinge. Some geometric properties of a rectangle and a circular quadrant are provided in Figure 2.2, where the symbols have their usual meanings. (i) Determine the magnitude and direction of the horizontal component of the hydrostatic pressure force exerted on the gate by the liquid in the canal. (ii) (iii) Determine the magnitude and direction of the vertical component of the hydrostatic pressure force exerted on the gate by the liquid in the canal. Determine the minimum force F applied at B to prevent the gate from opening (i.e. turning anticlockwise about the…
- A micircular gate with a radius R = 5 ft is hinged along B and held by a horizontal force applied at A. The picture on the right shows the gate if you were looking in the direon of the arrow beneath FA. The liquid has a depth of H=40 ft and applies a force on the ate of 200,032 lbf. What is FA in Ibf? FA A Gate: side view5. A cylinder of diameter D and length L (into the paper) is immersed in water as shown. Assume water density as p. Assume the cylinder is exposed to atmospheric pressure. Find the magnitudes of horizontal and vertical forces due to the water column (i.e. hydrostatic forces only) on surfaces of each of the four quadrants I, II, III, and IV. Clearly box your final answers (There should be 8 expressions, 4 horizontal forces and 4 vertical forces). Water level Open to atmosphere D/2 cylinder of diameter D Length L into the paper II II IV Rigid wall(a) A load acts on a piston of diameter D, as shown in Figure 2a. The piston rides on a tank of oil of depth hị and specific gravity SG. The tank is connected to a tube of diameter D2 and oil rises in the tube to height hz. The oil in the tube is open to atmosphere. Load Oil Piston hi DI Figure 2a (i) Derive an equation for the height h; in terms of the mass m of the load and other relevant variables. Neglect the mass of the piston. (ii) Find hz if m = 10 kg, Dı= 140 mm, Dz= 5 mm, h = 42 mm and SG=0.8. (b) A 2-m-long solid cylinder of radius R = 0.8 m hinged at point A is used as an automatic gate in the water reservoir shown in Figure 2b. 6 m A R= 0.8 m Wginder 0.8 m FR Figure 2b Determine: (i) the magnitude of the hydrostatic force FR and the angle 0 at which it is directed (ii) the weight of the cylinder Weylinder When the gate is about to open.
- 5. The gas used in a gas engine trial was tested. The pressure of gas supply is 10cm of water column. Find absolute pressure of the gas if the barometric pressure is 760mm of Hg. 27 THEPls help on this question.What is the smallest diameter glass tube that will keep the capillary height-change of water at 20 deg.C. less than 0.9 mm?