Civil Engineering - Irrigation - Discussion

Discussion Forum : Irrigation - Section 1 (Q.No. 35)
35.
If the straight sides of a triangular section of a lined canal with circular bottom of radius R, make an angle θ with horizontal, the perimeter of the canal is
R(θ + tan θ)
2R(θ + tan θ)
R(θ + cos θ)
2R(θ + cos θ)
none of these.
Answer: Option
Explanation:
No answer description is available. Let's discuss.
Discussion:
11 comments Page 1 of 2.

Shubh said:   3 years ago
Perimetre = 2R(θ+Cotθ),
Area = R^2(θ+Cotθ),
Hydraulic radius = R=(A/P) = R/2.

Samrat dhibar said:   4 years ago
The correct one is 2R(θ + tanθ).

Amjad Ali said:   6 years ago
E is the correct answer.

Because it is equal to 2R (@+cot@).

Basavaraj said:   7 years ago
The Correct answer is 2R(θ + cotθ).

Orai said:   7 years ago
The Correct answer should be 2R(θ + cotθ).

RAHUL said:   8 years ago
Yes, it is 2 R(θ + cotθ).

AKASH said:   8 years ago
The correct answer should be 2R(θ + cotθ).

Nisha said:   9 years ago
Thanks for the explanation @Rosh.

MAHASIN MOLLICK said:   9 years ago
Thanks @Rosh.

Rosh said:   10 years ago
Consider half portion.

For straight line portion cos θ = (x/R).

Therefore x = R.Cos θ.

Now Circular portion making angle of θ.

Length of arc = R.θ.

Therefore full length of perimeter = 2xR(θ + cos θ).


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