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```									         APSC100 Module 2                             Error Analysis Worksheet*
Due by 4:00pm Monday Sept 21st, Outside Room 405 Stirling Hall in LOCKED box

   Use Appendix 4 in the lab manual to complete this worksheet. In Appendix 4 you will find a
brief description of error analysis and examples for all of the problem types given below.
   Show all of your work.
   In each case give the answer as result +/- uncertainty.
   Use Appendix 3.3 to make sure your result and uncertainty have the correct number of
significant figures.(Uncertainty should have 1 sig. fig., result should be matched to the
uncertainty. i.e. if uncertainty is 0.01, then the result has 2 dec. places eg. 3.890.01)
   Note that a plot of “a vs. b” has a on the “y” axis and b on the “x” axis.
   Make sure you indicate your name, student number and Section on your work.
1. The initial position of the free end of a horizontal beam is 61.3  0.1cm above the
ground. After a load has been added to the free end the position is remeasured and found
to be 43.9  0.1cm above the ground. By how much has the beam deflected?
2. A nitrite solution is made by diluting 2.50  0.05 ml of a 5.00  0.06mg/L stock nitrite
solution to 50.0  0.1ml. What is the concentration of nitrites in the final solution (in
mg/L)?
3. An absorbance versus concentration (in mg/L) calibration curve is plotted for nitrites in
solution. A linear regression of the data produces a calibration equation A=0.301C where
A is absorbance and C is concentration. The standard error on the slope is 0.008. If the
absorbance of a sample of stream water assumed to have nitrites is 0.428  0.004 what is
the concentration of nitrites in this water?
4. A force T  6.54  0.09N acts on an Xbox at an angle   33  6  to the horizontal.
What is the y component of the force Ty?
5. A force F acting on a beam of length l at an angle  to the beam exerts a torque about the
end of the beam given by   Fl sin . If F  2.55  0.02N ,   40  4 and
l  1.340  0.005m what is the torque?
4 2
6. An experiment was done to measure  where y               x . The experiment manipulated x

and recorded the resulting values of y. A graph of y versus x is plotted which results in a
straight line. The slope of the line is measured to be equal to the last 2 non-zero digits of
your student number and the uncertainty is calculated to be m  2 .(i.e. if your student
number ends in 31 the slope would be 312). If  has been measured to be 3.20  0.05 ,
what is the value of  ?
7. A graph of pressure vs. 1/volume is made to see if a gas obeyed Boyle’s law (pV =
constant). For a point where V  0.905  0.003L what would the horizontal error bars
be?
8. An experiment was done to complete a model of the form y  Qz n where Q and n must
be determined (it is assumed that n is an integer). A plot of lny vs. lnz is made and a
linear regression produces a best estimate of the slope of 4.02  0.01 and the intercept of
6.93  0.07 . What are n and Q?

Note - if you are having problems with this worksheet TAs will be available in Stirling room 405 during week 1 to
You can also contact Aphra Rogers at leacha@physics.queensu.ca
Scheduled labs for APSC100 Module 2 start NEXT WEEK. The
schedule for weeks 2 and 3 is below.
All classes in Stirling room 405.

Monday       Tuesday     Wednesday      Thursday          Friday

8:30-9:00                 Section D     Section F     Section H     Section E, 2
9:00-9:30                                                             
9:30-10:00                                                             
10:00-10:30                                                            
10:30-11:00                                                             
11:00-11:30                                                             
11:30-12:00                Section G
12:00-12:30                    
12:30-1:00                     
1:00-1:30                     
1:30-2:00
2:00-2:30
2:30-3:00    Section A                  Section C
3:00-3:30                                  
3:30-4:00                                          Section B, 1
4:00-4:30                                               
4:30-5:00                                                
5:00-5:30                                                

Only attend at the scheduled time for YOUR section.
SCHEDULE FOR WEEKS 2 AND 3:
Section A - Monday 2:30-5:30pm
Section B and 1 – Thursday 3:30pm-5:30pm
Section C– Wednesday 2:30-4:30pm
Section D – Tuesday 8:30-11:30am
Section E and 2 – Friday 8:30-11:30am
Section F – Wednesday 8:30-10:30am
Section G – Tuesday 11:30am-1:30pm
Section H - Thursday 8:30-11:30am

Note: The tutorial labs that run in Weeks 2 and 3 should only take about 2 hours to perform.
3 hours are allocated for the larger sections as there are more students for the TAs to assist
and sign out at the end.

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