Calc 2 hydrostatic force problem

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SUMMARY

The discussion focuses on calculating the hydrostatic force on a side wall of a pool filled with water. To solve this problem, one must integrate the pressure multiplied by the differential area (dA) along the side wall. The pressure as a function of depth, denoted as p(d), must be established and integrated over the height and width of the wall to determine the total hydrostatic force.

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  • Knowledge of calculus, specifically integration
  • Familiarity with differential area concepts in physics
  • Basic principles of fluid mechanics
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  • Learn about integration techniques for area calculations
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Find the hydrostatic force on one side wall of the pool when it is full of water.

how do i go about solving this?

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You need to integrate the pressure * area for all the little dA area bits along the side wall. So write an equation for the water pressure as a function of depth, and integrate that p(d) along the height and width of the side.
 

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