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10 May, 15:41

A triangular plate with height 3 ft and a base of 5 ft is submerged vertically in water so that the top is 1 ft below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest whole number.)

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  1. 10 May, 18:38
    0
    49KN

    Explanation:

    F = / int_0^5 / rho g xw dx =

    /frac{3}{5}/rho g / int_0^5 x^2 dx =

    /frac{3}{5}/rho g / frac{x^3}{3} / Big|_0^5 =

    /frac{1}{5}/rho g (25 - 0) =

    5/rho g / approx

    49 kN
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