Problem 1.43 - Problem 1.43 Given: [Difficulty: 2] Pet food...

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Problem 1.43 [Difficulty: 2] Given: Pet food can Hm m t o Dm m t o mg t o 102 1 20 1 73 1 20 1 397 1 20 1 () Find: Magnitude and estimated uncertainty of pet food density. Solution: Density is ρ π ρρ = == = mm RH m DH or m 2 2 4 (,,) From uncertainty analysis: 2 1 2 2 2 + + ± = H D m u H H u D D u m m u Evaluating: m m m u D D m u H H m u m D H ρπ = = ± =− = = = ± = = = ± 41 1 4 1 1 397 0 252% 2 4 2 14 2 1 73 137% 1 4 1 1 1 102 0 980% 22 32 2 m ;. ; . ; . Substituting: ( ) ( ) [] % 92 . 2 980 . 0 1 37 . 1 2 252 . 0 1 2 1 2 2 2 ± = × + × + × ± =
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