Water from reservoir A flows pass a turbine with a flow rate of 10 m3/s, as shown in the figure below. Both the surface of the reservoir and the exit are open to the atmosphere and H = 120 m. The length of the pipe in total (i.e., L1 + L2 + La) is 772 m with a diameter of 2 m. Water density is 1,000 kg/m3 and the water viscosity is 1.2*10-3 Pas. The output of the turbine is 10 MW (i.e., 10*105 W). Consider minor losses and minor loss coefficients are 12.0 for the filter (KL, filter), 0.8 for the entrance (KLent), 1.0 for the exit (KL,exit), 6.0 for the valve (KL,valve), and 1.5 for each elbow (KLelbow) of the pipe network. Reservoir A Valve H KL,elbow Turbine KLent KL,valve Filter - 2 KLexit V KL, filter L3 Reservoir B a) Determine the water velocity and the Reynolds number in the pipe ) Determine the output head of the turbine c) Determine the roughness of the pipe.