Problem 1.52 - Problem 1.52 [Difficulty: 4] Given: American...

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Problem 1.52 [Difficulty: 4] Given: American golf ball, m = 1.62 ± 0.01 oz, D = 1.68 in. Find: Precision to which D must be measured to estimate density within uncertainty of ± 1percent. Solution: Apply uncertainty concepts Definition: Density, 3 3 D m4 36 R π ρπ ≡∀ = = Computing equation: 1 2 1 2 1 Rx 1 R uu x ⎛⎞ + ⎜⎟ ⎝⎠ L From the definition, 3/6 3 6m m DD (m, D) ππ ρρ == = Thus m m 1 ρ = and D D 3 = , so 1 2 22 mD 222 u[ ( 1 u ) ( 3 u ) ] 9 u + =+ Solving, 1 2 1 Dm 3 u u ] From the data given, 1 2 m
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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