9. A conical tank is 12 ft. across the top and 8 ft. deep. It contains water to a depth of 6 ft. Find the work done in pumping the water to a point 2 ft. above the top of the tank.
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- Verigy that the SI of hpg is N/m2.1. A 1—ft cable weighing 5 lb / ft supports a safe weighing 500 lb. Find the work done inwinding 80 ft of the cable on a drum. 2. A right circular cylindrical tank of radius 2 ft and height 8 ft is full of water. Find the workdone in pumping the water to the top of the tank. Assume that the water weighs 62.5 lb/ft3 3. A conical vessel is 12 ft across the top and 15 ft tall. If it contains a liquid weighing ???/??3 to a depth of 10 ft, find the work done in pumping the liquid to a height 3 ft above the top of the vessel. 4. A force is of 3 pounds is needed to stretch a spring to 12 inches from its natural length of 10 inches. Determine the spring constant and find the work done in stretching the spring from its natural length to 16 inches. 5. A horizontal cylindrical tank 4 ft in diameter and 10 ft long is full of water. Find the work done by pumping all the water upward through an outlet 10 ft above the axis of the tank. note: need illustrations for each solutionThe tank shown contains water to a level1 meter from the top. The tank is 3-meter wide at the top, and it has a depth of 3 meter and a length of 8 meter. Find the work required to pump all the water out of the spout, 2 meter above the top of the tank (the density of p = 1000; acceleration due to gravity at the earth's surface is 9.8) 14. kg and the m3 m TA十al
- A fuel oil tank is an upright cylinder, buried so that its circular top is 10 feet beneath ground level. The tank has a radius of 8 feet and is 24 feet high, although the current oil level is only 16 feet deep. Calculate the work required to pump all of the oil to the surface. Oil weighs 50lb/ft^3 I got the answer Work= 1331200pi lb-ft My answer is wrong including the units. I don’t know what they want.2. (6413 #5 p. 351) A water tank is in the shape of a cone with the vertex down (Just like a cone ofice cream). The cone is 15 feet deep and the radius of the top is 10 feet. The cone is full of salt waterwith a density of 63 pounds per cubic foot. Setup, but do not evaluate, an integral which would givethe work done in pumping all the water to a level 4 feet above the top of the cone. The amount ofwork done is 244,125 π foot-pounds.3. The density of water is 1000kg/m^3, and the force of gravity is 9.8m/s^2. An aquarium is 6m long, 1m wide, and 1m deep. The aquarium is full of water. Find the work needed to pump the top half of the water out of the aquarium.
- 16 A circular swimming pool has a diameter of 12 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 and the density of water is 1000 $2 m kg m³ -.)A circular swimming pool has a diameter of 12m. The circular side of the pool is 3m high, and depth of the water is 2.5m.(the acceleration due to garvity is 9.8m/s^2 and density of water is 1000kg/m^3. how much work(in joules) is required to pump all of the water outof an outlet of 3m over the side?9. A rectangular gate in a vertical dam is 5 ft wide and 6 ft high. Find the force against the gate when the water level is 8 ft above the top. Use 62.5 for the weight-density of the water.
- For a given cylindrical tank, the radius is 8 m and the height is 18 m. The tank is filled to a depth of 10 m. How much work is required to pump all of the water over the top edge of the tank? Acceleration due to gravity is 9.8 m/sec and the density of water is 1000 kg/m". Round your answer to the nearest kilojoule. Provide your answer below: W kJA conical water tank has its top at ground level (consider this to be the x-axis) and its base 12 ft below ground. The radius of the cone at ground level is 4 ft. It is filled with water weighing 62.4 lb/cu.ft. and is to be emptied by pumping the water to a spigot 3 ft above ground level. Find the total amount of work performed in emptying the tank? A 3456 ft-lbs B 23961.6 ft-lbs c) 8985.6 ft-lbs с D 1296 ft-lbsThe tank shown is full of water.(a) Find the work required to pump the water out of thespout.; (b) Suppose that the pump breaks down after 4.7 * 10 5 Jof work has been done. What is the depth of the waterremaining in the tank?