Problem 1.46[Difficulty: 2]Given:Standard British golf ball: mgtoDmmto=±4590 3201411 0 3201..()()Find: Density and specific gravity; Estimate of uncertainties in calculated values. Solution:Density is mass per unit volume, so ρπππ=∀====××=mmRmDmDkgmkg m334333342660 045910 04111260().(.)and SGHOkgmmkg23×=126010001263.The uncertainty in density is given by %730.01.413.0;36363%654.09.453.0;11442122±=±=−=⎟⎠⎞⎜⎝⎛−=⎟⎠⎞⎜⎝⎛−=∂∂±=±==∀∀=∀=∂∂⎥⎥⎦⎤⎢⎢⎣⎡⎟⎟⎠⎞⎜⎜⎝⎛∂∂+⎟⎟⎠⎞⎜⎜
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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.