23. How much work is required to fill the tank in Figure 9.5.5 with water from ground level? +8 meters. 10 meters 15 meters Figure 9.5.5. How much energy is needed to fill this
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answer is 1.48 x 108 joules.
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- 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.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.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 -.)
- Q4. Water flows along the rectangular channel such that after it falls to the lower elevation, the depth PR V V V V V V 28 29′ 29′ 29′ 29′ 29′ Yw Yw Determine the volumetric discharge through the channel. The channel has a width of 1.5 m. h = 0.3 m. Find (4), w Yw 0.25m 0.25m 0.5m JA B с 1m ,ZA, ZB, ZC, Zp, ZQ, ZR. h = 0.3m P IR 10.15m 0.15m9. 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. 2/3A 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.
- 1. At a certain ocean depth, the pressure is 1.71x108 Pa. Calculate the change in volume of 1.00 m3 of seawater carried from the surface to this deepest point. The compressibility k of water is 45.8x10-11 Pa-1.3. A centrifugal pump onerating under steady flow conditions delivers 2049.8 kg/min of water from an initial pressure of 249 kPa to a final pressure of 1996 Pa The diameter of the inlet pipe to the pump is 20 cm and the diameter of the discharge pipe is 8 cm. Neglect change in potential, kinetic and internal energies. What is the work done of the pump? Answer:A tank in the shape of an inverted frustum of a cylinder with diameters 4 ft and 6 ft and 4 ft deep, is full of water. Find the work required to pump the water out of the tank, leaving I foot depth of water at the bottom. Density of water is 62.4 lbs/ft 3. See the figure. -5 -4 -3 6 5 4 -3 2 1- 0 -1- 3 4 5
- 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 kg :) m3 m gravity is 9.8 and the density of water is 1000 s2 O us V O esc -> 23 2$ * 2 4 6. bac 8 e t u a d f k C V b2. (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.A tank has the shape of an inverted circular cone with height 7 m and base radius 3 m. It filled w water. Set up the integral form, don't evaluate it, for the work required to empty the tank by pumping all of the water to the top of a tank. (The density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s²). 9800 7 S 9800 9800 49 9 - 49 * (7 — x)² dx 9 (7-2)²dx 49 (7 — x)² dx 7 9 [²3/10 S 49 -(7 — x)³ dx 7 9 √2/2 49 -(7 — x)² dx