In The lower part of its valley, the Ausable River in update New York is 40m wid

Question

In The lower part of its valley, the Ausable River in update New York is 40m wide. Under typical early Summer conditions. it is 2.2m deep and flows at 4.5m/s.Just be before it reaches Lake Champlain, The river enters Ausable chasm, a deep gorge cut through rock.At its narrowest the gorge is only 3.7m wide at the river surface.If the flow rate in the gorge is 6.0m/s, how deep is the river at that point? Assume the river has a rectangular cross section, with uniform flow speed over a cross section.

Explanation / Answer

By equation of the continuity,

A1v1=A2v2

L1h1v1 = L2h2v2

40*2.2*4.5 = 3.7*h2*3.7     => h2= 28.9 m

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