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- A tanker contained with water is pushed horizontally at constant acceleration of 5.0 m/s?. If the tank is 10 m long and the depth of the water is 3 m when at rest, Calculate; a) The angle of water surface to the horizontal. b) The maximum pressure intensity on the bottomA 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 vessel is filled with oil (ρoil = 900 kg/m3) up to 1 m of its height. It is 3m wide, 2m high and 10 m long.Find the following :A. The maximum horizontal acceleration that can be charged to the vessel without spilling anyoil.B. If this vessel is closed and is completely filled with oil and accelerated horizontally at a rate of 3 m /s2 .B.1. The total force acting at the rear wall and at the front wall of the vessel.B.2. The accelerating force on the fluid mass.
- 2. A cylindrical container having cross-section area 100.0 m², which is put on the ground, is filled with sea-water to a height of 15.0 m. Then, a small hole, which is located at 1.33 m height from the ground, is caved to the container. If the decreasing speed of sea-water inside the container is 9.00 m/s², a) find the how fast the water remove from this small hole, and b) find the of the cross-section area of the small hole. (Density of sea-water: 1.03 g/cm³) Note: The top of the container is open to atmospheric pressure.The rectangular tank shown here, with its top at ground level, is used to catch runoff water. Assume that the water weighs 62.5 lb/ft³. a. How much work does it take to empty the tank by pumping the water back to ground level once the tank is full? b. If the water is pumped to ground level with a (5/11)-horsepower (hp) motor (work output 250 ft-lb/sec), how long will it take to empty the tank (to the nearest minute)? a. How much work does it take to empty the tank? ft-lb b. How long will it take to empty the tank (to the nearest minute)? minutes (Round to the nearest minute as needed.) Ground 7 ft level o 14 ftQ.2: In the figure shows a curved surface LM, which is in the form of a quadrant of a circle of radius (2.4 m), immersed in the water. If the width of the gate is unity, calculate the horizontal and vertical components of the total force acting on the curved surface. Free water surface 12 m 2.4 m M Curved surface
- A gate rotates at point A and releases water when the water's depth, d, exceeds a certain value. The gate's width (perpendicular to the image) is b = 2.95 ft, the water's depth is d = 4.82 ft, and point A is located at h = 2.41 ft. a) What is F, the magnitude of the horizontal force exerted on the gate by the water? The water's specific weight is γw=62.4lb/ft3. b) What are Ax and Bx, the horizontal reaction forces at points A and B that act on the gate from Part A. c) What is dmax, the water's maximum depth before the pressure causes the gate from part A to open?PROBLEM 2: A rectangular gate rotates about a pivot in the clockwise direction to open. The specific weight of water is 9.81 kN/m?. Describe the condition of the gate when the depth of water in the tank is 10m, will the gate start rotating about the pivot or remain closed? Prove Water 10m 4m4m gate your answer. Pivot Biock2. An open tank contains water up to a depth of 2 m and above it an oil of sp. gr. 0.9 for a depth of 1 m. Find the pressure intensity (i) at the interface of the two liquids, and (ii) at the bottom of the tank.
- A door in the side of a tank is 20cm wide and 30cm high. If the tank is filled with oil r.d. 0.82 to the top of the door what is the force exerted on the door and the position of its line of action How much oil will have to be drained out for the force to be 40N and what will be the position of the new line of actionA container lying horizontally is filled with water. It is 5 ft long and its cross section is in the shape of a semicircle with diameter 3 ft at the top. The weight density of water is 62. 4 lb/ft. (Draw an illustration.) a. How much work is required to pump all the water to the top of the tank? b. Find the force due to fluid pressure on one semicircular end of the container.The dam is 360 feet long. It is 17 feet tall (from the streambed to the top of the dam). The minimum water height of the lower pool is 10 feet. (a) What is the force exerted on the dam by the water in the upper pool? (b) What is the force exerted on the dam by the water of the lower pool? (c) What is the net force on the dam? (d) Do you need to consider the atmospheric pressure in your calculation? Why or why not?