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    Absolute and Gauge Pressure

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    A dam to create a large fresh water lake is constructed. It will be approximately 14 meters deep. A horizontal pipe 1.2 meters long and 4 cm in diameter will pass through the dam at a depth of 7 meters to allow for release of the water in emergencies and for sampling. In normal situations, a plug will secure the pipe opening.


    Pls explain the calculations in detail.

    (a) What will be the total force on the left side of the plug?
    F(left) = ____________________ N

    (b) What is the total force on the right side of the plug?
    F(right) = ____________________ N

    (c) What is the gauge pressure on the plug?
    Pgauge = ____________________ Pa

    (d) If the plug were to be removed, how much water would flow out in 3 hours?
    ¦¤VOL = ____________________ m3

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    Solution Preview

    Diameter of the pipe = 4 cm
    Radius of the pipe = 2 cm or 0.02 m
    Area of cross section of pipe = 3.14*0.02*.02
    = 1.256*10^-3 m^2

    (a) Hydrstatic pressure at a depth of 7 m = hdg
    = 7*1000*9.8
    = 6.86*10^4 N/m^2 or Pascal (Pa)
    Total pressure = hydrostatic + atmospheric preuure
    = 6.86*10^4 + 1.01*10^5
    = 1.696*10^5 Pa
    Pressure = Thrust / Area
    Thrust or force acting normally on the left side of the plug = Pressure*Area

    Solution Summary

    The expert examines absolute and gauge pressure for a freshwater lake.