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2. [10 Pts.] The Colebrook equation given below is used to calculate the friction coefficient f for circular closed-conduit flows. The calculated coefficient is

 

2. [10 Pts.] The Colebrook equation given below is used to calculate the friction coefficient f for circular closed-conduit flows. The calculated coefficient is then used to calculate the pressure loss due to friction. -2 log (3.7D + Re7) 2.51 In this equation f is the friction coefficient, & is the roughness height of the pipe (in m), D is the hydraulic diameter of the pipe (in m) and Re is the Reynolds number - a unitless number that states the regime of the flow. Please write a pseudocode that will numerically calculate the friction coefficient f with provided input values (, D, Re, initial guess for f, tolerance, and the like), and return the final friction coefficient f and respective approximate relative error percentage and iteration number. Your pseudocode should show all work. Please do not skip any calculation steps.

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