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. 3.890.01) 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 312). 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 answer your questions on Sunday September 20 from 2-4:30pm You can also contact Aphra Rogers at firstname.lastname@example.org 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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