Boatowner's Wiring Manual by Charles Wing

By Charles Wing

Rules of Yacht layout is either understandable to amateurs and accomplished for execs. It follows the layout of a 40-foot cruising sailboat from the 1st caricature to the ultimate weight, energy, and sail sector calculations, with tables, charts, and diagrams to allow the reader adapt the method to any layout. This variation is revised and accelerated to hide powerboats in addition to sailboats.

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Again we calculate 1l first. 53) kB* sinh kh cos kx sin wt . w 1l = - Define a as the amplitude as before: 'Tl . = a cos kx sin wt aw cosh k (y +h) cos kx cos wt rp = k sinh kh (2. 54) } (2. 56) callhasthrough no meaning here as the waves do not progress. The surface is still sinusoidal from to in the x direction, but now crests and troughs move -oo oo vertically. The particle motion is calculated exactly as before, from da dt = d� dt = - - giving 0! = {3 = arp ax - � arp ay - � -aw cosh k(y+h) .

129) (x10, This we can confirm by considering a Taylor series near to a fixed point x2o ,to) : +(x2 -�o) -aa�)0 +(t-to)-aat )0 + ... 129) ak1 a70_ ak1 +aw = 0 · a70_ + -aw = 0 . 9), ll x1 llxdf. llx1k1/2rr. ot with the definitions any function can be written locally in the form as required. = If we assume that has continuous second derivatives so that etc. we can see from that - = - · The first equation is curl k = obvious as k = V, normal to = constant; the second implies 'conservation of waves', that is wave crests are neither created nor destroyed.

1 55) Sec. 10] Swell Approaching a Gently Sloping Beach 63 c Now = afk and k sin x = m so that on a ray, c/sin x is constant, a result usually known as Snell's law of refraction, and applying in other wave systems. 1 54) determines k as a function of x1. 156) can be integrated numerically to give the rays. 1 57) have a useful approximation close inshore. 159) if x1 is small enough. 160) where Xz o is a constant of integration. 162) Solutions for Small Waves 64 [Ch. 1 62) . 158) to be valid it is possible that non-linear effects are beginning to be appreciable.

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