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Eeps108a Lect 10 surface waves, spectacular.pptx . . . Download Additional Definitions: elevation crest amplitude X trough wavelength = 2 Wave number k = 2n/ wavelength = 2x/2, in m-1 Wave frequency @ = 2n/ waveperiod = 2x/T, in sec -1 Phase velocity c = w/k = wavelength/waveperiod = 2/T, in m/sec Amplitude = a, h, or n, the deviation from z =0 = the flat surface and z = -h is used for the bottom boundary. I will note which.Deep-water wave * Depth of water is greater than 1/2 A * Speed of wave form (celerity) is proportional to wavelength, c~ A, 2 = g/k = gA/27; celerity of deep water waves * Longer wavelength waves travel faster wave phase (t/T= 0.000 Transitional waves * Water depth is 1/2 to 1/20 of wavelength e Characteristics of deep and shallow- water waves Wave speed (celerity) is proportional to both wavelength and depth of water Shallow-water wave Water depth is less than 1/20 wavelength Friction with seafloor retards speed Wave speed (celerity) is proportional to depth of water Orbital motion is flattened 1. From PowerPoint 10, the celerity of surface waves in DEEP WATER depends on the wavelength. (10 points) From the equations for deep water wave's celerity, given in slide 12, how much must the wavelength increase to double the speed of a wave? How deep, in multiples of the wavelength, must the water be for both waves to be \"deep water waves\