Answer:
Re = * v * D /
= 860 * 2.83 * 1.22 / ( 3.91 * 10^-4)
= 7.6 * 10^6
so turbulent flow
first we need to calculate the head loss by Darcy's equation
head = h = f * L * (Q/A)^2 / ( 2*g*D)
area = (/4)*D^2
= (/4)*1.22^2
= 1.17 m2
Q/A = 3.31 / 1.17 = 2.83 m/s
h = 0.0125 * 1286 * 2.83^2 / ( 2*9.81*1.22)
= 5.38 m
Power = q*h*g*
q(m3 /h) = Q*3600
= 3.31 * 3600
= 11916 m3/h
Power = P = 11916 * 5.38 * 9.81 * 860
= 540854227.7 W
= 725005.6672 HP
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