A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumpir 9800 T + √² (7-y)√6y-y²dy 6 9800π S (y³ - 13y² + 42y)dy 6 9800 T (7-y)(6y-y²) ²dy 6 9800 (7-y)√6y-y²dy
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- Help me pleaseThe pressure in a water tower is 20,674 Pascals (N/m2) higher than at an open faucet. The density of water is 1000 Kg/m3. Use Bernoulli’s equation to determine the velocity of outflow from the open faucet. If the height difference between the top water level in the tower and the faucet is 7.2 meters, then the velocity of outflow is ROUND TO 3 DECIMAL PLACES3. As shown in the figure below, a hydraulic system has two pistons of different diameter and uses a liquid of density p = 850 kg/m³. The smaller piston has a diameter of 3.9 cm and a mass of 1.6 kg and the larger piston a diameter of 14 cm and a mass of 2.8 kg. Determine h, the height difference between the two pistons. ↑ h ↓
- A tank is filled with water at a rate of 9 gal/min as shown in the figure below. Given that D = 3 ft and h = 1.5 ft, what is the rate of change of depth of the water in the tank in inches per minute? Vin. h O 1.15 inches/minute O 2.04 inches/minute 4.60 inches/minuteA fluid with specific weight 32 lb -flows through the pipe below as it narrows from a diameter of 4.8 in. to a diameter of 2.9 in. The fluid has an inlet velocity of 0.7 ft/s. ft³ lb A fluid with specific weight 84 is used to measure the pressure in the barometer attached to points A and B. Find the difference in heights of the barometer, h₁ - h₂ Report your result in inches. h₁ ·A D₁ B D₂ h₂If the meniscus between water (density 1000 kg/m) and mercury (density 13600 kg/m³) in the left-hand limb of the manometer shown below rises by 75 mm, calculate what will be the new level of water measured from the bottom of the left-hand reservoir. Provide your answer in mm and with three decimal places. Ø 150 mm 250 mm 100 mm 500 mm 500 mm 0 50 mm water mercury
- Situation 7: The figure illustrates the water pressure acting on the sides of a dam. Determine the resultant force of the dam's water pressure. 16 m 9 m ↑ 8 from t 16 m 600 N/m² 1324 N/m²kv² 1. The discharge flowing down the pipe is 0.03 m³/s and the pressure at 2 is 0.14 kg/cm² greater than at 1. Assuming the losses in the pipe between 1 and 2 is find the value of k. Liquid flowing in the pipe is water. } 2g 20 cm dia 10 cm dia mercury 3 mIf the meniscus between water (density 1000 kg/m3) and mercury (density 13600 kg/m³) in the left-hand limb of the manometer shown below rises by 75 mm, calculate what will be the new level of water measured from the bottom of the left-hand reservoir. Provide your answer in mm and with three decimal places. Ø 150 mm 250 mm 100 mm 500 mm 500 mm 0 50 mm water mercury
- Slow flowing water is falling vertically after passing over a structure. Here, the height of the water surface on the right side of the structure is (a). Find the size of (a). uniform V velocity y₁ Y₂√₁ uniform structure V velocityNote: In the text, all questions use 62.5 pounds/ft as the force per volume density of water. In metric, we would need Newtons/meter. The mass density per volume of water is 1000 kg/m³. To convert this into a force density per volume, we multiply by gravity, approximately 9.8 m/s?. The resulting quantity is the force density per volume in metric: 9800 N/m³.Find the discharge of water in liters / second in a pipe of diameter 20 cm with the velocity of 4.5 m/s. (ENTER ONLY THE VALUE IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET) The discharge of water through pipe is (Lit/sec) = Which of the following is the dimension of capillary depression O M'L1 T° O M° L' T° O M'L-1 TO M° L-2 TO The viscosity of Hydrogen gas increases when we heat it. Select one: O True O False