Two streams merge to form a river. One stream has a width of 8.4 m, depth of 3.5 m, and current speed of 2.2 m/s. The other stream is 6.6 m

Question

Two streams merge to form a river. One stream has a width of 8.4 m, depth of 3.5 m, and current speed of 2.2 m/s. The other stream is 6.6 m wide and 3.6 m deep, and flows at 2.7 m/s. If the river has width 11.2 m and speed 2.8 m/s, what is its depth

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Ngọc Diệp 2 weeks 2021-08-28T17:48:34+00:00 1 Answers 0 views 0

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    2021-08-28T17:49:51+00:00

    Answer:

    Explanation:

    We shall solve this problem on the basis of pinciple that water is incompressible so volume of flow will be equal at every point .

    rate of volume flow of one stream

    = cross sectional area x velocity

    = 8.4 x 3.5 x 2.2 = 64.68 m³ /s

    rate of volume flow of other stream

    = 6.6 x 3.6 x 2.7

    = 64.15 m³ /s

    rate of volume flow of rive , if d be its depth

    = 11.2 x d x 2.8

    = 31.36 d

    volume flow of river = Total of volume flow rate of two streams

    31.36 d  = 64.15 + 64.68

    31.36 d  = 128.83

    d = 4.10 m /s .

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