Elementary Theory of the Tides: the Fundamental Theorems Demonstrated Without Mathematics, And the Influence On the Length of the Day Discussed
The book Elementary Theory of the Tides: the Fundamental Theorems Demonstrated Without Mathematics, And the Influence On the Length of the Day Discussed was written by author Abbott, Thomas Kingsmill, 1829-1913 Here you can read free online of Elementary Theory of the Tides: the Fundamental Theorems Demonstrated Without Mathematics, And the Influence On the Length of the Day Discussed book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Elementary Theory of the Tides: the Fundamental Theorems Demonstrated Without Mathematics, And the Influence On the Length of the Day Discussed a good or bad book?
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It is easy to deduce from this construction the cor- responding formulae. For, if OB = r, we have Bp=r{l-oos'w). Bntps=^r-Bp=lr{2oos^b)-l)=}rooB2b). And since sB is proportional to the mean height, the defect 14 THE TIDES. from this height is proportional to ps, and therefore to cos 2a). The effect of pressure with such a tide will be extremely small. As it operates to send the water away from its position of greatest elevation, it will so far assist the moon's force without changing the place ...of high water. To estimate the effect of friction, the moon's force being = - H sin 2(0, the velocity ®, undisturbed by friction = V cos 2(1) {V being the greatest velocity). If the dis- placement caused by friction is very small, we may take this value of » as a sufficient approximation. The friction, assumed proportional to velocity = Vf cos 2aj, and the velocity begins to be checked when py cos 2a) = - fl'sin2aj , _ Vf 366000. _.. . . or, tan 2bj = - ^ = ^ — /= - 7000/ nearly. When the displacement (which we shall call S) is sensible!
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