Smithsonian miscellaneous collections . .0009404 (r = 0°, b = 750m).P We shall find 10 == 40° ; G -- + ~j- r r r > rn b-b0 = log - + 1 .070 - 0 ; <p = log . — •r0 r- T r r = 7° 8° 9° 10° 12° 15° 20° v = 15,n 13. lm G = b - bQ = 0mm mm mm m,n - = 180° + a (1) and to change the sign of the gradient, on the supposition that thepressure diminishes with distance from the center. We shall thenhave vr = v0 r0 P- - kv0r0 1 v02 r„2 . u- = . — « (2) p cos a r r
Smithsonian miscellaneous collections . .0009404 (r = 0°, b = 750m).P We shall find 10 == 40° ; G -- + ~j- r r r > rn b-b0 = log - + 1 .070 - 0 ; <p = log . — •r0 r- T r r = 7° 8° 9° 10° 12° 15° 20° v = 15,n 13. lm G = b - bQ = 0mm mm mm m,n - = 180° + a (1) and to change the sign of the gradient, on the supposition that thepressure diminishes with distance from the center. We shall thenhave vr = v0 r0 P- - kv0r0 1 v02 r„2 . u- = . — « (2) p cos a r r where a aG~-r-S -b=M1CZU+2\,) W MOVEMENTS OF ATMOSPHERE—GULDBERG AND MOHN J57 i i i i i i i I i i i i i i i i i I i i i i i i i i i I i W O /o°. FIG. IO. WHIRLWIND AROUNI A BAROMETRIC MINIMUM 158 SMITHSONIAN MISCELLANEOUS COLLECTIONS VOL. 51 The hypothesis that the pressure diminishes with the distancefrom the center requires that v0 < cos a In nature the wind about barometric maxima always has a slightvelocity and the pressure diminishes with distance from the center,However, we can apply the formulae only to the exterior parts ofthe whirlwind, because in the interior part the currents are nothorizontal,but have a vertical descending velocity which influencesthe horizontal movement. Applications Whirlwind about a barometric maximum (see fig. u).Let the latitude = 45°, k = ,M - (t = 0°, b = 760tni»), v0 = 4m, r0 = 5CP we find =40° ; G = - - - —j- r r. b0 - h = log- - + —1~; ? = 113 rQ r r r = 5° 6° 8° 10° 15° 20° V = 4 m G = 0 42mm ,n K - b = Qram 1. 57mm -9 = 0 9° 23
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