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The hydraulic head loss in a pipe may be determined by the Darcy-Weisbach Equation as follows: H=(f*L*V^2)/(2*D*g) Where...

The hydraulic head loss in a pipe may be determined by the Darcy-Weisbach Equation as follows:

H=(f*L*V^2)/(2*D*g)

Where L is the length of the pipe, V is the follow velocity of water in a pipe, D is the pipe diameter, f is the coefficient of friction and g is the gravitational acceleration (32.2 ft/sec^2)

Suppose the length of the pipe L has a constant length of 10 ft and the pipe has a constant diameter of .5 ft. The coefficient of friction is distributed normally with a mean of .02 and a c.o.v. of .3 and the flow velocity is distributed normally as V ~ N(9,1) fps

By first order approximation determine the standard deviation of the hydraulic head loss of the pipe.

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Answer #1

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