The velocity in a pipe in turbulent flow is expressed by the following equation:
where τ is the shear stress in N/m2 at the pipe wall
ρ is the density of the fluid in kg/m3
u is the velocity in m/s
k is a coefficient
You are asked to modify the equation so that the shear stress can be introduced in the units of τ which are lbf/ft2, and the density ρ' for which the units are lb/ft3 so that the velocity u comes out in the units of ft/s. Show all calculations, and give the final equation in terms of u, t, and ρ' so a reader will know that American Engineering units are involved in the equation.
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