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29 November, 03:13

A vertical rectangular wall with a width of 20 m and a height of 12 m is holding a 7-m-deep water body. The resultant hydrostatic force acting on this wall is (a) 1370 kN (b) 4807 kN (c) 8240 kN (d) 9740 kN (e) 11,670 kN

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  1. 29 November, 03:21
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    (c) 8240 kN

    Resultant hydrostatic force F = 8240 kN

    Explanation:

    Force can be expressed as;

    F = ma

    F = mg ... 1

    Where,

    F = force

    m = mass

    a = acceleration

    g = acceleration due to gravity

    And we know that mass of an object is the product of

    Density and Volume

    m = pV

    And volume V = area * height = Ah

    m = pAh ... 2

    Substituting m into equation 1

    F = pAhg = pghA ... 3

    Given;

    Density of water p = 1000kg/m^3

    g = 9.81m/s^2

    Area A = 20m * 12m = 240m^2

    h = depth/2 = 7/2 = 3.5m

    Substituting the values into equation 3, we have;

    F = 1000*9.81*3.5*240

    F = 8240400 N

    Resultant hydrostatic force F = 8240 kN
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