5. A semicircular cylindrical tank holds water. The semicircular cross sections have radius 3m and the tank is 10m long. Find the work required to pump water out of this tank.
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Q: 1. The potential energy of water in a cylindrical tank located on toe of a building 15 m high is 150…
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Q: A horizontal cylindrical tank 4ft in the diameter and 10ft long is full of water. Find the work done…
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Q: A 15-hp (shaft) pump is used to raise water to a 45-m higher elevation. If the mechanical efficiency…
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Q: 8. A water tank has the shape of a box that is 3 m wide, 2 m long and 4 m high. If the tank is full,…
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Q: work is required to pump all the water over the top of the tank
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Q: A rectangular swimming pool 70 ft long, 25 ft wide, and 16 ft deep is filled with water to a depth…
A: Answer:Work required to pump all the water out = 8.43*105 ft-lbs
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Q: 4. A 15-hp (shaft) pump is used to raise water to a 45-m higher elevation. If the mechanical…
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Q: Calculate what useful work is done in pumping 1000gallon of water to height of 60 feet.if this work…
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Q: A tank is full of water. Find the work (in J) required to pump the water out of the spout. (Use 9.8…
A: Radius of tank R = 9 m Density of water ρ = 1000 kg/m³ Distance of a spout = 3 m Work done to pump…
Q: a conical tank with height 10 and radius 2 is filled to the top woth a liquid weighing 15 n/m^3 how…
A: consider a small circular strip from the bottom with a height h,the small volume of the strip is ,
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A: Required work done to pump out the water as of from the given spherical tank.
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A: The expression for work done by the water is,
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- 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 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.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
- Steel ball with radius of 0.09 m lays on a bottom of the lake 5 m deep. What work is needed to lift the ball to the surface of the lake? Density of steel is 7860kg/m3. The volume of a sphere isWater 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?Application of Integration: A tank in the form of an inverted right-circular cone is 8m across the top and 10m deep. The tank is filled to a height of 8m with oil weighing 950kg/m3. Find the work done in pumping all the oil to the top of the tank. Note: g 9.8 m/s2
- 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 itA 15-hp (shaft) pump is used to raise water to a 45-m higher elevation. If the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water.A cylindrical tank of radius 3 ft and height 10 ft stands on aflatform 50 ft high. How much work will be done in fillingthe tank by pumping the water from the ground level?
- 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 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 in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 3 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is ?=1070 kg/m3. Your answer must include the correct units.