ocean waves. the highest reliably measured ocean waves were reported by officers

Question

ocean waves. the highest reliably measured ocean waves were reported by officers of the Navy oiler USS Ramapo in the North Pacific n Feb 7,1993.By triangulatio on the ships superstructure, they measured a wave height of 34 meters (112ft) peak to trough. The time for the ship to drop from the top of awake crest to the bottom of a trough was 7.4 sec, and the wavelenght was calculated to be 342 meters. what are the (a)period and (b)speed of these giant waves?(c) What is the maximum transverse speed at which ship rose and fell on these waves?

Explanation / Answer

crest to trough = 7.4s, so a) period is 14.8s. You are given wavelength = 342m, so v= fL, which is V = L/T, so v = 342m/14.8s = 23.1m/s. Maximum tranverse speed is given by Vmax = Aw, and you can find w = 2pi/T = 0.4245, and A=amplitude=(34/2=17m), so Vmax = 0.4245*17m=7.217m/s a)14.8s b)23.1m/s c) 7.217m/s

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