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Question (3): (18 marks) Water is transported through a 500 m long horizontal cast-iron pipe of 0.14 m in diameter. It is given that the total head loss in the cast-iron pipe is 10 m. Take p = 1,000 kg/m' and v = 1 x 106 m²/s. Roughness of the pipe can be found from the Moody Chart (Fig. 15 or 16) in Chapter 7 of the lecture notes. (a) Determine the flow rate through the pipe in m/s (by using the Moody Chart Calculator' on the website https://www.advdelphisys.com/michael_maley/moody chart/) (b) Calculate the power required to overcome the total head loss and to maintain that particular flow rate. Assumption: (1) The flow is steady and incompressible. (2) The entrance effects are negligible, and thus the flow is fully developed. (3) The pipe section involves no work devices such as a pump or a turbine. Note that the App "Moody Chart Calculator solves the Colebrook equation by using numerical technique. The input data are Reynolds number Re and the relative roughness €/D, surface roughness/diameter of the pipe. The output is the friction factor f.