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The ratio of section factor and hydraulic depth in a trapezoidal section is 324/25, calculate the top width if the total wetted area of the channel is 24m^2.

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in Fluid Mechanics by (118k points)
The ratio of section factor and hydraulic depth in a trapezoidal section is  324/25, calculate the top width if the total wetted area of the channel is 24m^2.

(a) 4m

(b) 5m

(c) 6m

(d) 7m

The question was asked in an international level competition.

This is a very interesting question from Geometrical Properties of Trapezoidal Section topic in chapter Flow in Open Channels of Fluid Mechanics

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Correct answer is (d) 7m

Easy explanation: Ratio = (section factor)/(hydraulic depth) = 324/25

324/25 =√A √T; √T=49

T = 7m.

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