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The top width of a trapezoidal channel is 12m, the bottom width of the channel is 6m and the side slope is 1H:2V, calculate the wetted perimeter.

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+1 vote
in Fluid Mechanics by (118k points)
The top width of a trapezoidal channel is 12m, the bottom width of the channel is 6m and the side slope is 1H:2V, calculate the wetted perimeter.

(a) 17.41m

(b) 18.41m

(c) 19.41m

(d) 20.41m

I have been asked this question in class test.

The question is from Geometrical Properties of Trapezoidal Section topic in division Flow in Open Channels of Fluid Mechanics

1 Answer

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Correct option is (c) 19.41m

For explanation I would say: Top Width = B+2Zy

12 = 6 +2(1/2)(y); y=6m

P = B+2y√(1+Z^2)

P = 19.41m.

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