--------------------------------------------------------------------------       RELATIVE UNCERTAINTIES COIN Relative Uncertainty in mass δm/m (%)  Relative Uncertainty in Diameter δd/d (%)  Relative Uncertainty in Thickness δt/t (%)  SIG. FIGS.       Dime ? ? ? Penny ? ? ? Quarter ? ? ?   COIN Relative Uncertainty in Volume δV/V = 2*δd/d + δt/t (%) Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%)

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter1: Matter And Measurements
Section: Chapter Questions
Problem 36QAP: At sea, distances are measured in nautical miles and speeds are expressed in knots. 1 nautical mile...
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USING DATA FROM THE US MINT      
  US MINT DATA US MINT DATA US MINT DATA
COIN  Measured MASS m (grams) Measured Diameter d (mm) Measured Thickness t (mm)
SIG. FIGS.      
Dime 2.268 17.91 1.35
Penny 2.500 19.05 1.52
Quarter 5.670 24.26 1.75
       

 

  Volume Mass Density
Dime 0.34cm3 6.6706 g/cm3
Penny 0.4332cm3 5.77 g/cm3
Quarter 0.81 cm3 7 g/cm3

Uncertainties

COIN Uncertainty in mass δm (grams) (taken as EXACT) Uncertainty in Diameter δd (mm) (taken as EXACT) Uncertainty in Thickness δt (mm) (taken as EXACT)
SIG FIGS      

dime

0.001 0.01 0.01
penny 0.001 0.01 0.01
quarter 0.001 0.01 0.01

----------------------------------------------------------------------------

      RELATIVE UNCERTAINTIES
COIN Relative Uncertainty in mass δm/m (%)  Relative Uncertainty in Diameter δd/d (%)  Relative Uncertainty in Thickness δt/t (%) 
SIG. FIGS.      
Dime ? ? ?
Penny ? ? ?
Quarter ? ? ?

 

COIN Relative Uncertainty in Volume δV/V = 2*δd/d + δt/t (%) Relative Uncertainty in Mass Density δρ/ρ = δV/V + δm/m (%)
SIG. FIGS.    
Dime ? ?
Penny ? ?
Quarter ? ?
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