Q #$.3).$ A horizontal pipeline $50m$ long is connected to a water tank at one end and discharges freely into the atmosphere at the other end. For the first $20m$ of its length from the tank, the pipe is $150mm$ diameter and it is suddenly enlarged to $300mm.$ The height of water level in the tank is $8m$ above the center of the pipe. Considering all losses of head, which occur, determine the rate of flow. Take $f$ is $0\mathrm{.}01$ for both section of the pipes.