In a towns water system pressure gauges in still water at street level reads 150kpa. if a pipeline connected to the system breaks and shoots

Question

In a towns water system pressure gauges in still water at street level reads 150kpa. if a pipeline connected to the system breaks and shoots water straight up, how high above the street does the water shoot?

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Khoii Minh 5 days 2021-07-22T23:12:58+00:00 1 Answers 0 views 0

Answers ( )

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    2021-07-22T23:14:49+00:00

    Answer:

    The water shoots 15.31 m high above the street level.

    Explanation:

    The gauge pressure drives the motion of the water to whixhever height it will attain. The expression relating the gauge pressure to the height reached by the water, is

    P = ρgh

    P = Gauge Pressure = 150 kPa = 150,000 Pa

    ρ = density of the fluid (water) = 1000 kg/m³

    g = acceleration due to gravity = 9.8 m/s²

    h = Height reached by the water = ?

    150,000 = 1000 × 9.8 × h

    h = (150000) ÷ 9800 = 15.306 = 15.31 m

    Hope this Helps!!!

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