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7_4 - 7.4 Water sloshes back and forth in a tank as shown...

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Unformatted text preview: 7.4 Water sloshes back and forth in a tank as shown in Fig. WA. The frequency of sloshing, w, is assumed to be a function of the acceleration of gravity, g, the average depth of the water, It, and the length of the tank, 6. Develop a suit- I.— . able set of dimensionless parameters for this problem using F I G U R E P7. 4 g and (3 as repeating variables. 0,57” 01:1 L7"2 «hz‘L .Ei—L FVom 7'71! ‘ Pf +heorcm ) ‘4- 2 ‘-= Z dzln'tenstbn/rss Paraffie'fiers regained. Mse 3 mm’ Z E6L5 ”pea-{mg VZIVMé/a/ 771115] ‘ , 77': Gaga/£5 a 5 b a “‘5’” (Mar-2) m =1, 7’ 59‘ flmi ' a” :0 ; {44,51} ~1—2a,=o (£9147) Iii fin/burs :7‘7’1a'f 62 z ,— '/2/ b =3/2_ 77" : 6t) ’13": Check dzhens/onsl I; 1 __'_~_ :3 °T° £30K we if: 4 I and 47mm: 5* 773- n~z=a 3‘12: L {LT-ZVflf’ 2 A 7“ v /+ 4-1..sz {5V1} ”24.30 I 3 (for T) 1:1!— é/bwf #71415 (2:0 5 :5!) and: Wereére 477% 7T2 1.3 ébt/fmifly ‘cjl'mwt’fifi/on/t’si 771%.?) wygwjr-i ‘mm 7‘5‘ ...
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