Q1) An open tank has a vertical partition and on one side contains gasoline with a densityp = 700 kg/m3 at a depth of 4 m, as shown in Fig.5. A rectangular gate that is 4 m highand 2 m wide and hinged at one end is located in the partition. Water is slowly added to theempty side of the tank. At what depth, h, will the gate start to open?

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Answered: Q1) An open tank has a vertical…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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An open tank has a vertical partition and on one side contains gasoline with a density =700 kg/m3 at a depth of 4 m, as shown. A rectangular gate that is 4 m high and 2 m wide and hinged at one end is located in the partition. Water is slowly added to the empty side of the tank. At what depth, h, willthe gate start to open?
A tank with vertical sides is 1.30 m square (horizontal section), 3 m high and is filled with water to a depth of 2.70 m. By how much, if at all, will be the pressure on one side of the tank be changed if a cube of wood (s=0.50) measuring 60 cm on an edge be placed in water?
A 27m3 CUBICAL TANK IS FULL OF TWO DIFFERENT FLUIDS OF EQUAL PARTS. AN OBJECT WAS THROWN AND WAS PARTIALLY SUBMERGED PROJECTING 15% ABOVE THE FLUID SURFACE. IF THE HEIGHT OF THE OBJECT IS 3m AND THE SPECIFIC GRAVITY OF THE FLUIDS ARE 0.9 AND 0.82, FIND THE SPECIFIC GRAVITY OF THE OBJECT
A rectangular car is 3 m. long by 1.5 m wide and 1.5 m deep. If friction is neglected and the car rolls down a plane with an inclination of 20 degrees, what is the inclination of the water surface if the car contained 0.60 m depth of water when the car was horizontal?
A tank containing water moving horizontally with a constant linear acceleration (3.5m/sec2), and vertical acceleration decreases by (25%) from the horizontal acceleration. The tank was (3m) high, (2.5m) length and (1m) width. Determine the force on the bottom of tank if the water level at rest was (2m). (Answer with sketch, See Fig.3)
A triangular gate having horizontal base of 1.0m and an altitude of 1.5m is inclined 45° from the vertical with the vertex pointing upward. The vertex of the gate is 2.4m vertically below the surface of the water. What normal force , in KN, must be applied at the vertex of the gate to open it's hinged at the base?
A vertical rectangular wall with a width of 20 m and a height of 12 m is holding a 7-m-deep water body. The resultant hydrostatic force acting on this wall is (a) 1370 kN (b) 4807 kN (c) 8240 kN (d ) 9740 kN (e) 11,670 kN
A door in the side of a tank is 3.1 m wide and 5.2 m high, the tank is filled to the top of the door with water of density 1000kg/m3. What is the force on the door in N?
Suppose a very tall open cylindrical container having 1.5 m diameter and is filled with 2226.6 liters of water is rotated about its central axis at constant angular velocity. Determine the height h in meters at the condition where the pressure at point B located at the bottom, 0.6m radial distance from the center becomes 16 kPag. Use g = 9.81 m/s2 and density of water = 1000 kg/m3
Open tank (4.5 m long, 2.5 m height and 3 m wide) contains liquid (S-0.75) to height 1. m. If this tank is accelerated along its length on a horizontal truck at a constant value of 3.5 m/s, determine pressure at the bottom of the tank at front and rear edges (in kN/m). (take y=9.8 kN/m for water)
A glass tube 5 ft long and 1 inch in diameter with one end closed is inserted vertically with the open end down, into a tank of water until the open end is submerged to a depth of 4 ft. If the barometric pressure is 14.30 lb per sq.in, and neglecting vapor pressure, how high will water rise in the tube?
A small reservoir has a submerged underwater gate to control its water level. The underwater gate is a two-dimensional rectangular flat-plate, inclined at 450as shown in Fig. 1, and may be considered weightless. The width of the gate is w and the length is L. The gate is hinged at B and opened by applying a vertical force, T, upwards at A. The vertical distance between the bottom of the gate and the floor of the reservoir is h1, where h1<<h0. Far downstream, the exiting stream of water is uniform and parallel and has height h2.a) Calculate the total hydrostatic force acting on the gate.b) Calculate the minimum force, T, required to lift the gate.c) Without detailed calculations, compare the flat plate gate in Fig. 1 with the quarter-circular cylindrical gate in Fig. 2. Comment on the force required to lift the cylindrical gate.

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