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25 May, 16:53

A pump is used to deliver water from a lake to an elevated storage tank. The pipe network consists of 1,800 ft (equivalent length) of 8-in. pipe (Hazen-Williams roughness coefficient = 120). Ignore minor losses. The pump discharge rate is 600 gpm. The friction loss (ft) is most nearly Group of answer choicesA. 15

B. 33

C. 106

D. 135

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  1. 25 May, 18:23
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    h_f = 15 ft, so option A is correct

    Explanation:

    The formula for head loss is given by;

    h_f = [10.44•L•Q^ (1.85) ] / (C^ (1.85)) •D^ (4.8655))

    Where;

    h_f is head loss due to friction in ft

    L is length of pipe in ft

    Q is flow rate of water in gpm

    C is hazen Williams constant

    D is diameter of pipe in inches

    We are given;

    L = 1,800 ft

    Q = 600 gpm

    C = 120

    D = 8 inches

    So, plugging in these values into the equation, we have;

    h_f = [10.44*1800*600^ (1.85) ] / (120^ (1.85)) * 8^ (4.8655))

    h_f = 14.896 ft.

    So, h_f is approximately 15 ft
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