Problem 1.42 - ∀ = ∀ = ∂ ∂ D m u D m D m D D D u m...

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Problem 1.42 [Difficulty: 2] Given: Standard American golf ball: 1) to (20 in. 01 . 0 68 . 1 1) to (20 oz 01 . 0 62 . 1 ± = ± = D m Find: Density and specific gravity; Estimate uncertainties in calculated values. Solution: Density is mass per unit volume, so () () () 3 3 3 3 3 3 3 3 3 3 4 kg/m 1130 m 0254 . 0 in. oz 16 kg 4536 . 0 in. 68 . 1 1 oz 62 . 1 6 6 2 4 3 = × × × × = = = = = π ρ D m D m R m V m and 13 . 1 kg 1000 m m kg 1130 SG 3 3 O H 2 = × = = The uncertainty in density is given by 2 1 2 2 + = D m u D D u m m u % 595 . 0 68 . 1 1 . 0 ; 3 6 3 6 3 % 617 . 0 62 . 1 01 . 0 ; 1 1 4 4 ± = ± = = = = ± = ± = =
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Unformatted text preview: ∀ = ∀ = ∂ ∂ D m u D m D m D D D u m m m Thus ( ) [ ] ( ) [ ] 0214 . % 89 . 1 m kg 4 . 21 % 89 . 1 % 595 . 3 % 617 . 3 3 2 1 2 2 2 1 2 2 ± = ± = = ± = ± = × − + ± = − + ± = u u u u u u SG D m Finally, 1) to (20 0214 . 13 . 1 SG 1) to (20 kg/m 4 . 21 1130 3 ± = ± =...
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