Is the Fanning Friction Factor Calculation Affected by Unit Usage?

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gfd43tg
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Hello,

I was wondering if when calculating the fanning friction factor, do english units need to be used?

The equation for the head friction is

h_f = 4f(L/D)V^2/2

where L is the length, D is the diameter of the pipe, and f is the fanning friction factor. This ends up having units of length squared/time squared, but I think it should be power/mass
 
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Is the g included whether you use english units or not? I get confused when I need to divide by g or not these days since we keep going back and forth with english and SI units
 
You can see why I was confused, this is directly and repeatedly on the lecture slides
 

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