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The ratio of Hydraulic radius and Hydraulic depth is ½ and the top width of the channel is 6m, calculate the hydraulic depth of the channel.

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in Fluid Mechanics by (118k points)
The ratio of Hydraulic radius and Hydraulic depth is ½ and the top width of the channel is 6m, calculate the hydraulic depth of the channel.

(a) 1m

(b) 2m

(c) 3m

(d) 4m

I got this question in final exam.

Origin of the question is Geometrical Properties of Rectangular Section in section Flow in Open Channels of Fluid Mechanics

1 Answer

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Best answer
The correct option is (c) 3m

Explanation: Ratio = ½

Ratio = (A/P) / (A/T) = T/P; T = 6m

½ = 6/P

P = 12m = B + 2y

12 = 6 + 2y

y = 3m.

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