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(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 D; and oil rises in the tube to height h;. The oil in the tube is open to atmosphere. Load Piston hi DI Figure 2a

(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 D; and oil rises in the tube to height h;. The oil in the tube is open to atmosphere. Load Piston hi DI Figure 2a

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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(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.
Transcribed Image Text:(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.
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