A lagoon with a planform area of 1.9 107 m2 and a uniform depth of 6.0 m is separated from the ocean by a barrier beach. An inlet channel will be constructed between the lagoon and the ocean, which will be the only entrance to the lagoon. The channel will have a design length of 1100 m with a pair of vertical sheet piles that will extend the full length of the channel. If the channel will be designed to have a depth of 3.7 m below the mean sea level and a width of 180 m, calculate the following tidal hydrodynamic characteristics of the inlet for the semidiumal tide (T= 12.42 hr) with a range of 1.30m. Consider that entrance and exit loss coefficients and friction coefficients are. (a) Repletion coefficient (i.e. Keulegan parameter); (b) bay tidal range; (c) the maximum flow velocity; (d) maximum volume flow rate through the inlet