Create a bucket by rotating around the y axis the curve y 3 In(z 3) from y = 0 to y= 6. If this bucket contains a liquid with density 900 kg/m³ to a height of 2 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s² for gravity. Work = Joules
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- Steel ball with radius of 0.03 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 is Use g = 9.8 m/s2 Calculate answer to two decimals.A 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-lbsA 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
- Calculate the work (in Joules) required to pump all the water out of an inverted conical tank that has a radius of the base of 2 m, and a height of 4 m and is HALF FULL. The density of water is 3 1000 / kg m. Assume the tip of the conical tank is on the ground. HINT: Place the origin at the tip of the cone. Leave the answer in terms of ρ, g, and possibly π.Ex, 13 : A soap bubble has diameter 2 cm. Calculate the work done to increase its diameter to 6 cm. surface tension of is 35 soap dynes/cm.A conical container of radius 5 ft and height 20 ft isfiled to a height of 17 ft with a liquid weighing 51.8 lb/A2 . How much work will take to pump the liquid to a level of 3 ft above the cone's rim?
- Two streams merge to form a river. One stream has a width of 8.7 m, depth of 3.7 m, and current speed of 2.1 m/s. The other stream is 6.4 m wide and 3.1 m deep, and flows at 2.6 m/s. If the river has width 11.7 m and speed 2.8 m/s, what is its depth?For a given cylindrical tank, the radius is 2 m and the height is 12 m. The tank is filled to a depth of 5 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/sec² and the density of water is 1000 kg/m³. Round your answer to the nearest kilojoule. Sorry, that's incorrect. Try again? W = kJA conical container of radius 8 ft and height 32 ft is filled to a height of 29 ft with a liquid weighing 64.4 lb/ft³. How much work will it take to pump the liquid to a level of 3 ft above the cone's rim? The amount of work required to pump the liquid to a level 3 ft above the rim of the tank is ft. lb. (Simplify your answer. Do not round until the final answer. Then round to the nearest tenth as needed.)
- The power output of the heart is given by the product of the average blood pressure, 1.33 N/cm², and the flow rate, 105 cm³/s. Find the power of the heart. Give your answer in watts.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.7. A fuel oil tank is an upright cylinder, with radius 3 meters and height 13 meters. a. Assuming the tank is full, calculate the work required to pump the oil out a spout 1 meter above the top of the tank. Round to the nearest whole number, and include units with your answer. Note: W - Vpgd Density of the oil = 800 kg/m³. Acceleration due to gravity = 9.82 b. Is it true that it takes half as much work to pump the oil out of the tank if it's only half full? Explain why or why not.