A smooth-walled cylindrical pipe has diameter d = 16 cm. Oil flows along the pipe at a mean flow speed U = 3 ms-1. For oil, take μ = 3.6 x 10-2 kg m-1 s-1 and ρ = 0.9 x 103 kg m-3. (a) By calculating the Reynolds number, show that the flow is turbulent. (b) Find the Darcy friction factor for this flow. (c) Calculate the pressure drop along a 40 m length of the pipe.