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What is the wetted area for a triangular channel having depth y and the side slope being Z?

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+1 vote
in Fluid Mechanics by (118k points)
What is the wetted area for a triangular channel having depth y and the side slope being Z?

(a) Zy^2

(b) 2Zy

(c) Zy

(d) Z^2 y

This question was addressed to me in my homework.

This interesting question is from Geometrical Properties of Triangular Section in division Flow in Open Channels of Fluid Mechanics

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by (362k points)
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Best answer
The correct option is (a) Zy^2

To elaborate: The Area of the Triangle = (½) (base) (height)

Base = Zy+Zy = 2Zy

Area = (1/2) (2Zy) (y)

Area = Zy^2.

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