Question #266940

A concrete pipe of diameter 1 000 mm is laid at a slope of 1 in 100. Estimate the rate at which the water will run down the pipe so that it remains uniformly half full. Use C = 49 SI Units.

Expert's answer

**Half Full Circular concrete pipe-**

Diameter (D) = 1000 mm = 1 m

Slope (S) = 1 in 100

Chezy's Constant (C) = 49

**To Find-**

The rate at which the water will run down the pipe (Q).

"Discharge(Q)=AC(RS)^{1\/2}"

"A=\\pi\/4 (D)^2 =0.3927 m^2"

"C=49"

"R=\\text{hydraulic mean depth} =A\/P"

"P=perimeter=\\pi D\/2"

"R=A\/P \u2014\u2014> =D\/4"

"S=1\/100"

Now,

"Q=0.3927\\times49\\times (1\/4 \\times 1\/100)^{1\/2}"

"Q=0.962m^3\/s \\space (\\text{this is the final answer})"

**The rate at which the water will run down the pipe (Q) = 0.962 m**^{3}**/s**

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