Scientific Papers volume 3

Cover Scientific Papers volume 3
Scientific Papers volume 3
John William Strutt Rayleigh
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A, Mai 408 ON THE THEORY OF SURFACE FORCES. [176 When, on the other hand, 2r a, is /* 2 Tra 5 . 7r 2 a 7 I - . -jf- . 4an* dr = -rf- . Jo r 40 40 The work required to generate a cavity for which 2r > a is therefore less than if the ultimate law prevailed throughout by the amount lO 18 35~ 47977 We may apply the same formulae to compare the pressures at the centre and upon the surface of a spherical mass of fluid, surrounded by vacuum. If the radius be r, we have at the centre F=47rJ>II(/)d/, a...nd at the surface so that the excess of pressure at the centre is 47r (>n(/)d/-27r[Vn (/)n(/)#: ...... (34) Jo Jo r J o If r exceed the range of the forces, (34) becomes , ...........

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