d. On the afternoon of January 15, 1919, an unusually warm day in Boston, a 17.7-m-high, 27.4-m-diameter cylindrical metal tank used for sto

Question

d. On the afternoon of January 15, 1919, an unusually warm day in Boston, a 17.7-m-high, 27.4-m-diameter cylindrical metal tank used for storing molasses ruptured. Molasses flooded into the streets in a 5-m-deep stream, killing pedestrians and horses and knocking down buildings. The molasses had a density of 1600 kg>m3 . If the tank was full before the accident, what was the total outward force the molasses exerted on its sides

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Phúc Điền 5 years 2021-07-14T15:36:00+00:00 1 Answers 89 views 0

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  1. Giakhanh
    -1
    2021-07-14T15:37:42+00:00
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    Answer:

    F = 1.638 x 10⁸ N = 163.8 MN

    Explanation:

    The total force exerted by the molasses is given as:

    F = PA

    where,

    F = Force exerted by the molasses = ?

    P = Pressure = ρgh

    ρ = density of molasses = 1600 kg/m³

    g = acceleration due to gravity = 9.81 m/s²

    h = height of tank = 17.7 m

    A = cross-sectional area of tank = πr²

    r = radius of tank = 27.4 m/2 = 13.7 m

    Therefore,

    F = \rho ghA = \rho gh(\pi r^2)\\\\F = (1600\ kg/m^3)(9.81\ m/s^2)(17.7\ m)(\pi)(13.7\ m)^2

    F = 1.638 x 10⁸ N = 163.8 MN

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