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Buoyant force of pool (fluids)

  1. Mar 3, 2008 #1
    1. The problem statement, all variables and given/known data
    An above-ground backyard swimming pool is shaped like a large hockey puck, with a circular bottom and a vertical wall forming its perimeter. The diameter of the pool is 5.2m and its depth is 1.4m. Find the total outward force exerted on the vertical wall of the pool.
    Density of air: 1.29 kg/mcubed
    Density of water: 1000 km/mcubed
    Answer: (back of book) 160kN

    2. Relevant equations
    Buoyant Force = density of external fluid x gravity x volume
    Volume = radius squared x pi x height

    3. The attempt at a solution
    Volume = (5.2/2)squared (pi) (1.4) = 29.732 mcubed
    Buoyant Force = (1.29) (9.8) (29.732) = 375.872 N

    Attempt 2, using water's density
    Buoyant Force= (1000) (9.8) (29.732) = 291373.922 N
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Mar 3, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    water pressure

    This isn't a buoyant force problem. Instead, consider the force exerted by the water on the sides of the pool wall. What's the average water pressure? What's the surface area of the pool wall?
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