The head difference between the inlet and outlet of a 1km long pipe discharging 0.1 m^3/s of water is 0.53 m. if the diameter is 0.6m, what is the friction factor? is a) 0.01 b) 0.02 c) 0.03 d) 0.04 e) 0.05

The correct option is 'e': f = 0.05.

Explanation:

The head loss as given by Darcy Weisbach Equation is as

where

is head loss in the pipe

'f' is the friction factor

'l' is the length of pile

'v' is the velocity of flow in pipe

'D' is diameter of pipe

From equation of contuinity we have

Thus using this in darcy's equation we get

where

'Q' is discharge in the pipe

'A' is area of the pipe

Applying the given values we get

Solving for 'f' we get

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explanation:

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