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Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) Parabola, y = x2 Ib 25

Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) Parabola, y = x2 Ib 25

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### Problem Statement Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) ### Equation and Calculation **Parabola, \( y = x^2 \)** \[ \text{Fluid Force} = \text{______} \text{ lb} \] ### Diagram The diagram depicts a parabolic tank with the following characteristics: 1. **Parabolic Shape**: The left side of the tank follows the equation \( y = x^2 \). 2. **Dimensions**: - The total height of the tank is 25 feet. - The width at the top of the tank is 10 feet. 3. **Weight-Density**: The weight-density of water given is 62.4 pounds per cubic foot. ### Explanation of the Diagram Below the problem statement, there is a visual representation of a parabolic tank: - The tank's shape displays a symmetrical parabolic curve. - The height from the top of the tank to the bottom is 25 feet as marked. - The width of the tank at its widest (the top) is labeled as 10 feet. - The tank is full of water. For further details on how the calculation proceeds, refer to fluid force formulas involving integration and the weight-density of water.
Transcribed Image Text:### Problem Statement Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assume that the tank is full of water. (The weight-density of water is 62.4 pounds per cubic foot. Round your answer to two decimal places.) ### Equation and Calculation **Parabola, \( y = x^2 \)** \[ \text{Fluid Force} = \text{______} \text{ lb} \] ### Diagram The diagram depicts a parabolic tank with the following characteristics: 1. **Parabolic Shape**: The left side of the tank follows the equation \( y = x^2 \). 2. **Dimensions**: - The total height of the tank is 25 feet. - The width at the top of the tank is 10 feet. 3. **Weight-Density**: The weight-density of water given is 62.4 pounds per cubic foot. ### Explanation of the Diagram Below the problem statement, there is a visual representation of a parabolic tank: - The tank's shape displays a symmetrical parabolic curve. - The height from the top of the tank to the bottom is 25 feet as marked. - The width of the tank at its widest (the top) is labeled as 10 feet. - The tank is full of water. For further details on how the calculation proceeds, refer to fluid force formulas involving integration and the weight-density of water.
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