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you need to extend a 2.50 inch diameter pipe, but you only have 1.00 inch diameter pipe on hand.you make a fitting to connect these pipes end to end. if the water is flowing at 6.00cm/s in the wide pipe, how fast will it be flowing through the narrow one?

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steve

  1. According to what is called the continuity equation, the product of
    (density)(cross sectional area)(velocity)
    is a constant in steady-state flow.

    For a liquid such as water, you can assume that the density is constant.

    Therefore A*V = constant
    Since Area is proprtional to diameter ^2,

    D^2*V = constant

    Now do the numbers.

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    drwls

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