MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER   Measured Diameter d (cm) Measured Thickness t (cm)  sigs     dime 1.76 0.14 penny 1.88 0.152 quarter 2.36 0.175             UNCERTAINTIES    Uncertainty in Diameter δd (cm)  (taken as EXACT) Uncertainty in Thickness δt (cm)  (taken as EXACT) sig figs     dime 0.05 0.05 penny 0.05 0.05 quarter 0.05 0.05             RELATIVE UNCERTAINTIES   Relative Uncertainty in Diameter δd/d (%)  Relative Uncertainty in Thickness δt/t (%)  sig figs      dime ? ? penny ? ? quarter ? ?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
     
  MEASURED USING CENTIMETER RULER MEASURED USING CENTIMETER RULER
  Measured Diameter d (cm) Measured Thickness t (cm) 
sigs    
dime 1.76 0.14
penny 1.88 0.152
quarter 2.36 0.175
   

 

 

    UNCERTAINTIES 
  Uncertainty in Diameter δd (cm)  (taken as EXACT) Uncertainty in Thickness δt (cm)  (taken as EXACT)
sig figs    
dime 0.05 0.05
penny 0.05 0.05
quarter 0.05 0.05
   

 

 

    RELATIVE UNCERTAINTIES
  Relative Uncertainty in Diameter δd/d (%)  Relative Uncertainty in Thickness δt/t (%) 
sig figs     
dime ? ?
penny ? ?
quarter ? ?
Expert Solution
Step 1

Solution:

Calculate the relative uncertainty in diameter for dime.

Uddime=0.051.76×100=2.84%

Calculate the relative uncertainty in diameter for penny.

Udpenny=0.051.88×100=2.66%

Calculate the relative uncertainty in diameter for quarter.

Udquarter=0.052.36×100=2.12%

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