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18 October, 08:54

the base of a rectangular vessel measure 10m by 18cm. water is poured into a depth of 4cm. (a) what is the pressure on the base?. (b) what is the thrust on the base?.

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  1. 18 October, 08:58
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    a) P = 392.4[Pa]; b) F = 706.32[N]

    Explanation:

    With the input data of the problem we can calculate the area of the tank base

    L = length = 10[m]

    W = width = 18[cm] = 0.18[m]

    A = W * L = 0.18*10

    A = 1.8[m^2]

    a)

    Pressure can be calculated by knowing the density of the water and the height of the water column within the tank which is equal to h:

    P = density * g * h

    where:

    density = 1000[kg/m^3]

    g = gravity = 9.81[m/s^2]

    h = heigth = 4[cm] = 0.04[m]

    P = 1000*9.81*0.04

    P = 392.4[Pa]

    The force can be easily calculated knowing the relationship between pressure and force:

    P = F/A

    F = P*A

    F = 392.4*1.8

    F = 706.32[N]
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