This set of Fluid Mechanics Multiple Choice Questions & Answers (MCQs) focuses on “Most Economic Trapezoidal Section”.

1. Determine the top width length of the most economical trapezoidal channel section having depth y and side slope Z.

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2. Estimate the hydraulic radius of the most economical trapezoidal channel section having depth y and side slope Z.

a) ^{y}⁄_{2}

b) y

c) 2y

d) 3y

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3. The top width of a most economical trapezoidal channel section is 7m and the side slope of the channel is 1H:2V, determine the depth of the channel section.

a) 2.13m

b) 3.13m

c) 4.13m

d) 5.13m

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4. The top width of a most economical trapezoidal channel section is 8m, determine the hydraulic radius of the channel if the side slope is 1H:3V.

a) 1.8m

b) 1.9m

c) 2.0m

d) 2.1m

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5. The base of the most economical trapezoidal channel section is 6m and the side slope is 1H:2V, calculate the maximum discharge through the channel if the bed slope is 1 in 1000 and C = 50.

a) 120.61 m^{3}/s

b) 110.61 m^{3}/s

c) 100.61 m^{3}/s

d) 90.61 m^{3}/s

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6. Calculate the maximum discharge through a trapezoidal section having depth 3m, side slope 1H:4V and bed slope of 1 in 2000. Given: n = 0.025.

a) 19.09 m^{3}/s

b) 20.09 m^{3}/s

c) 21.09 m^{3}/s

d) 22.09 m^{3}/s

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7. The wetted area of a most economical trapezoidal section is 21.58m^{2}, base width of 5m and side slope of 1H:3V. Calculate the maximum discharge through the channel if the C=60 and S_{0}=1/500.

a) 56.32 m^{3}/ s

b) 66.32 m^{3}/ s

c) 76.32 m^{3}/ s

d) 86.32 m^{3}/ s

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8. Calculate the depth of the most economical trapezoidal channel section having wetted area equal to 50m^{2} and the side slope of 1H:5V.

a) 3.21m

b) 4.21m

c) 5.21m

d) 6.21m

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9. The wetted perimeter of the most economical trapezoidal section is 7.47m, the base width is 3m and has the side slope of 1H:2V.

a) 1m

b) 2m

c) 3m

d) 4m

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10. Calculate the maximum discharge through a trapezoidal channel if the wetted perimeter is 6.24m, side slope of 1H:2V and base width of 4m. Given: C=55 and S_{0}=1/1500.

a) 3.52 m^{3}/s

b) 4.52 m^{3}/s

c) 5.52 m^{3}/s

d) 6.52 m^{3}/s

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11. The maximum discharge through the trapezoidal channel is 20 m^{3}/s and the velocity of flow is 5 m/s. Calculate the base width of the channel if the side slope is 1H:4V.

a) 3.31m

b) 2.31m

c) 1.31m

d) 0.31m

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12. What is the side slope for the most economic trapezoidal channel having depth y and base width B?

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13. What is the angle made by the sloping side when the trapezoidal channel discharges to the maximum extent?

a) 30°

b) 45°

c) 60°

d) 90°

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14. Calculate the maximum discharge through a trapezoidal channel if the depth is 5m.

a) 56.67 m^{3}/s

b) 66.67 m^{3}/s

c) 76.67 m^{3}/s

d) 86.67 m^{3}/s

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15. If the side slope angle in a trapezoidal section is 45° and it discharges to the maximize extent, calculate the top width of the channel section. Given: y = 4m

a) 10.31m

b) 11.31m

c) 12.31m

d) 13.31m

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**Sanfoundry Global Education & Learning Series – Fluid Mechanics.**

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