AP physics measurement error and range of error and related

Physics

1. I can . . . explain why measurements are never exact . determine the range of error in a measuremen t. truthfully measure things

2. What is the measurement of this yellow line? Are any of the digits of its measurement know with absolute certainty ? Are any of digits of its measurement a total guess ? 1 2 3 4

3. In Colorado, tree line is 12,114 ft. Clifton Bluhm 12,100 ± 500 ft.

4. Zebulon Pike (1779-1813) http://www.pikespeakcam.com/images/submitted/DSC00405%20Pikes%20Peak%20from%20Garden%20of%20the%20Gods%20June%2005.JPG Stephen Long: 11,507.5 ft. Stephen Long (1784-1864), Zebulon Pike: 18,581 ft. http://www.worldbook.com/features/explorers/html/saga_oae.html#StephenHarrimanLong It’s really 14,115 ft

5. Would you TRUST this person?

6. This pencil is 5.384678 inches long! http://web.ics.purdue.edu/~pmorici/image/pencilWeb/ 1 2 3 4 4 5 6 Liar!

7. http://web.ics.purdue.edu/~pmorici/image/pencilWeb/ This pencil is 5 inches long! 1 2 3 4 4 5 6 Liar!

8. The TRUTH lies somewhere between 5 and 5.384678 inches http://web.ics.purdue.edu/~pmorici/image/pencilWeb/ 1 2 3 4 4 5 6 You must be TOTALLY TRUTHFUL in your measurements.

9. 1 1 1 0.7 ± .1 0.67 ± .01 0.675 ± .001

10. 1 2 3 4 . 02 Measurement is between 2.76 and 2.80. 2 . 7 8 ±

11. Zebulon Pike (1779-1813) http://www.pikespeakcam.com/images/submitted/DSC00405%20Pikes%20Peak%20from%20Garden%20of%20the%20Gods%20June%2005.JPG Stephen Long first thought this mountain was 11,507.5 ft Stephen Long (1784-1864), Zebulon Pike first thought this mountain was 18,581 ft http://www.worldbook.com/features/explorers/html/saga_oae.html#StephenHarrimanLong It’s really 14,115 ft 18,000 ± 4,000 12,000 ± 3,000 9 10 11 12 13 14 15 16 17 18 19 20 21 22

12. 1 2 3 4 Measurement is between 1.10 and 1.14. . 02 1 . 1 2 ±

13. 1 2 3 4 Measurement is between 1.98 and 2.02. . 02 2 . ±

14. 1 2 3 4 Measurement is between 0.02 and 0.06. . 02 . 4 ±

15. Measurement is between 10.2 and 10.4 4 1 2 3 4 5 6 7 8 9 10 11 13 14 15 12 Smaller Ruler .1 . 3 ± 1

16. 1 2 3 4 Measurement is between 3.35 and 3.45. .05 3 . 4 ±

17. 1 2 3 4 Measurement is between 3.28 and 3.32. . 02 3 . 3 ±

18. 1 2 3 4 .1 1 . 2 ±

19. 145 ± 1 290 ± 2

20. 1 2 3 4 Measurement is between 2.49 and 2.55 . 03 2 . 5 2 ±

21. 1 2 3 4 Measurement is between 2.6 and 2.8. .1 2 . 7 ± 2¾ 2.75

22. 1 2 3 4 Measurement is between 1.0 and 1.2. .1 1 . 1 ±

23. 1 2 3 4 Measurement is between 2.9 and 3.1. .1 3 . ±

24. 1 2 3 4 3.11 ± . 02 3.09 to 3.13 Shortest Possible Length = 3.09 – 0.95 = 2.14 Longest Possible Length = 3.13 – 0.91 = 2.22 Measurement is between 2.14 and 2.22. 2.18 ± . 04 0.93 ± . 02 0.91 to 0.95

25. 8.85 ± .03

26. I can . . . explain why measurements are never exact . determine the range of error in a measuremen t. truthfully measure things