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Unformatted text preview: R The variables are: R =12 . m V =? He =0 . 16 kg/m 3 air =1 . 25 kg/m 3 M air =? M He =? M b =196 . kg m =? W air =? W He =? W b =? Archimedes Principle states that the bouyant force is equal to the weight of the displaced Fuid, where the weights are the forces. So: W air = W b + W He + W m M air g = M b g + M He g + mg M air = M b + M He + m Solving for m , and invoking the relationships = M/V and V = 4 3 R 3 : m = M airM bM He = air VM b He V = ( air He ) 4 3 R 3M b Substituting in values: m = 4 3 ( air He ) R 3M b = 4 3 (1 . 25. 16) kg/m 3 (12 m ) 3196 . kg = 4 3 1 . 09 kg/ a a m 3 1728 . a a m 3196 . kg = 7889 . 7 kg196 . kg inally m = 7693 . 7 kg 2...
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 Spring '10
 Hanlet

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