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Hydrostatics- need volume of submerged block- confused

  1. Oct 19, 2009 #1
    hydrostatics- bouyancy-need volume of submerged block- confused

    1. The problem statement, all variables and given/known data

    Need help with #11 attached

    tank has 2m of water
    gate is 1 m wide
    pulley is 1/2 m above water
    specific weight of concrete is 23.6 kN/m3
    need to find voulme of water to keep gate closed

    2. Relevant equations

    Bouyant force= volume x specific weight
    Force= specific weight x area x centroid height

    3. The attempt at a solution

    Force on gate is: Force= specific weight x area x centroid height 9810 N/M x 1m2 x 1/2 m
    force on gate + Bouyant force + weight of concrete= 0

    I've got:
    (9810 N/M x 1m2 x 1/2 m) - (23.6 kN/m3 x volume)+ weight of concrete=0

    not sure where to get weight of concrete? do I count the weigh of the water above? does the height of the pully have to be considered?
     

    Attached Files:

    Last edited: Oct 20, 2009
  2. jcsd
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