# Fluid Mechanics Questions and Answers – Geometrical Properties of Triangular Section – 1

This set of Fluid Mechanics Multiple Choice Questions & Answers (MCQs) focuses on “Geometrical Properties of Triangular Section – 1”.

1. What is the wetted area for a triangular channel having depth y and the side slope being Z?
a) Zy2
b) 2Zy
c) Zy
d) Z2 y

Explanation:

The Area of the Triangle = (½) (base) (height)
Base = Zy+Zy = 2Zy
Area = (1/2) (2Zy) (y)
Area = Zy2.

2. Calculate the wetted perimeter of a triangular section having depth y and the side slope is Z.
a) 2Zy
b) Zy
c) y$$\sqrt{1+Z^2}$$
d) 2y$$\sqrt{1+Z^2}$$

Explanation: Wetted perimeter = Length of the sides (excluding the base)

3. Calculate the wetted perimeter of a triangular section having a depth of 4m and the side slope is1H:1V.
a) 7.94m
b) 8.94m
c) 9.94m
d) 10.94m

Explanation:Wetted Perimeter = 2y$$\sqrt{1+Z^2}$$
= (2)(4) $$\sqrt{1+(\frac{1}{4})}$$
= 8.94m.

4. Estimate the wetted area of a triangular channel having a depth of 5m and the side slope is 2H:1V.
a) 50m2
b) 60m2
c) 70m2
d) 80m2

Explanation: Wetted area = Zy2
= 2(52)
= 50m2.

5. What is the top width of a triangular channel having a depth y and side slope Z?
a) Zy
b) Zy2
c) 2Zy
d) ½Zy

Explanation: Top width = (Zy+Zy)
= 2Zy.

6. Determine the hydraulic depth of a triangular channel having the side slope Z and depth y.
a) y
b) y/2
c) 2y
d) y2

Explanation:

7. Estimate the top width of a triangular channel having a side slope of 1H:2V and depth of 5m.
a) 4m
b) 5m
c) 6m
d) 7m

Explanation: Top Width = 2Zy
Top Width = (2)(1/2)(5)
Top Width = 5m.

8. What is the Hydraulic Radius of a triangular channel having a depth y and side slope Z?
a) $$\frac{Z}{2\sqrt{1+Z^2}}$$
b) $$\frac{y}{2\sqrt{1+Z^2}}$$
c) $$\frac{Zy}{2\sqrt{1+Z^2}}$$
d) $$\frac{Zy}{\sqrt{1+Z^2}}$$

Explanation:

9. What is the section factor for a triangular channel having depth y and side slope Z?
a) $$\frac{2Zy^{\frac{5}{2}}}{\sqrt{2}}$$
b) $$\frac{Zy^{\frac{5}{2}}}{\sqrt{2}}$$
c) $$\frac{Zy^{\frac{5}{2}}}{2}\sqrt{2}$$
d) $$\frac{Zy^{\frac{5}{2}}}{2}$$

Explanation:

10. Calculate the section factor a triangular channel section having side slope 1H:4V and depth of 8m.
a) 32
b) 34
c) 36
d) 38

Explanation:

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