Question 3 A hurricane has a maximum sustained local wind speed of ₁,45 ms. a) What is the appropriate hurricane category? b) What is the deep-water significant wave height (,) and

peak frequency () of waves produced by the hurricane associated with Us? c) If this wind speed occurs over water -15 m deep, determine the dimensionless shallow water frequency and suggest whether we should use the JONSWAP or TMA spectrum to describe the waves generated by this storm. d) Plot the spectral energy density associated with this wind speed using the appropriate spectrum you identified in part (c). e) Using the spectrum from (d), determine the significant wave height H, at this depth of = 15 mg The figure above shows the cross-sectional elevation of a deployable flood barrier used to protect a community from coastal flooding. The barrier has length I and mass per unit width x (Le., total mass per unit distance into the page) and is connected to a frictionless hinge at ground level. As flood waters rise, the barrier rotates about the hinge and adopts a position with angle 9 such that hydrostatic equilibrium is achieved for a given inundation height. a) Derive an expression for the water height & as a function of m, 1, and 8. You may assume that the mass of the barrier is uniformly distributed. Assume a density of sea waterp=1025 kg/m². b) Assuming m = 500 kg/m and 1=6 m, plot the water height has a function of from 0 to 80° c) For the assumptions stated in (b), what is the maximum level of inundation that can be accommodated by the barrier?