A cylindrical tank of radius 15 ft and height 6 ft is two-thirds filled with water. Find the work required to pump all the water over the upper rim.
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- Verigy that the SI of hpg is N/m2.A sump pump (used to drain water from be basement of houses built below the water table) is draining a flooded basement at rate of 0.750 L/S, with an output pressure of 3.00105N/m2 . (a) The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? (b) The hose goes over the foundation wall, losing 0.500 m in height and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses both parts of the problem.How much work is required to pump all the water over the top of a full cylindrical task that is 2 m diameter and 7 m height? (Unit of work = Joules, J). specific weight of water = 9.81 kN/m³
- A cylindrical tank, buried on its side, has radius 3 feet and length 10 feet. It is filled completely with water whose weight density is 62.4 lbs/ft3, and the top of the tank is two feet underground. How much work is required to empty the water in the tank to a truck whose tank lies 4.5 feet above the ground?A conical tank with height 10 and radius 2 is filled to the top with a liquid weighing 15 N/m3 . How much work spent pumping all of the liquid out of the tank through the top?A circular swimming pool has a diameter of 24 f t, the sides are 5 f t high, and the depth of the water is 4 f t. How much work is required to pump all of the water out over the side? Use the fact that water weighs 62.5 lb/f t3 and g=1. Note: Just set up the integral. Do not evaluate it
- How much work is required to pump all the water over the top of a full cylindrical tank that is 4 m in diameter and 7 m high? (Unit of work= Joules, J) Specific weight of water = 9.81 kN/m³A water tank has the shape of the bottom half of a sphere with a radius of 4meters. It is currently filled with water to a height of 3 meters, which has a density of1000 kg/m^3(you may use 9.8 m/sec^2 as the acceleration due to gravity).Set up, but do not evaluate, the integral formula to compute the amount of work requiredto empty the tank by pumping all of the water to the top of the tank.(Hint: the cross-section perpendicular to the y-axis which is y meters below the top ofthe tank will be a circle with radius psqrt(16 − y^2).A tank, shaped like a cone has height 4 meter and base radius 1 meter. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is 10000N/m3. How much work does it require to pump all water out of the tank? Enter the exact value of your answer.
- Water is pumped steadily out of a flooded basement at a speed of 5.7 m/s through a uniform hose of radius 1.1 cm. The hose passes out through a window to a street ditch 3.4 m above the waterline. What is the power of the pump?Two identical cylindrical vessels with their bases at the same level each contain a liquid of density 1.30 * 10^3 kg/m3. The area of each base is 4.00 cm2, but in one vessel the liquid height is 0.854 m and in the other it is 1.560 m. Find the work done by the gravitational force in equalizing the levels when the two vessels are connected.Two identical cylindrical vessels with their bases at the same level each contain a liquid of density 1300 kg/m3 . The areaof each base is 4 cm2, but in one vessel the liquid height is 0.854 m and in the other it is 1.560 m. Determine the workdone by the gravitational force in equalizing the levels when the two vessels are connected.