1. The Squeaky Aluminum Rod Created for CVCA Physics by Dick Heckathorn 25 April 2K +5

2. Apparatus 1.829 meter 3/8 Aluminum Rod Rosin Apple ][e Computer Frequency Meter Program Tape Recorder + Cable

3. Investigate Holding Rod at Center Create a Frequency What is the frequency? Record the frequency and where held.

4. TrialLocationFrequency (Hertz) 11/2_______

5. Investigate Hold Rod 1/4 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.

6. TrialLocationFrequency (Hertz) 11/2_______ 21/4_______

7. Investigate Hold Rod 1/6 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.

8. TrialLocationFrequency (Hertz) 11/2_______ 21/4_______ 31/6_______

9. Investigate Hold Rod 1/8 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.

10. TrialLocationFrequency (Hertz) 11/2_______ 21/4_______ 31/6_______ 41/8_______

11. Investigate Hold Rod 1/10 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.

12. TrialLocationFrequency (Hertz) 11/2_______ 21/4_______ 31/6_______ 41/8_______ 51/10_______

13. Investigate Hold Rod 1/12 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.

14. TrialLocationFrequency (Hertz) 11/2_______ 21/4_______ 31/6_______ 41/8_______ 51/10_______ 61/12_______

15. Question? What relationship exists as the position where the rod changed from 1/2 to 1/4 to 1/6 to 1/8 etc. It increased in whole number multiples of the original frequency.

16. TrialLocationFrequency (Hertz) 11/2____ 21/4____ 31/6____ 41/8____ 51/10____ 61/12____

17. Question? What is the wavelength of the fundamental frequency? The fundamental frequency is ______

18. Question? Is there a wave pattern? What about node and antinode regions? What pattern might we look for?

19. Investigate Hold rod at center - Create ‘f’ Grab hold of rod at various locations. What was found? A node at the center. An antinode at either end.

20. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. AN A Rod

21. ANAANA The rod is ___ wavelength long. L = 1/2 = 2 L = 3.66 m

22. TrialLocationf (Hertz)(m) 11/2____3.66

23. Investigate Hold rod at 1/4 - Create ‘f’ Grab hold of rod at various locations. What was found? A node 1/4 from either end. An antinode at either end and...

24. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. ANANAANANA Rod

25. ANANAANANA The rod is ___ wavelength long. L = = L = 1.83 m

26. TrialLocationf (Hertz)(m) 11/2____3.66 21/4____1.83

27. Investigate Hold rod at 1/6 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at ____________. An antinode at ________.

28. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. ANANANAANANANA Rod

29. ANANANAANANANA The rod is ___ wavelength long. L = 3/2 = 2/3 L = 1.22 m

30. TrialLocationf (Hertz)(m) 11/2____3.66 21/4____1.83 31/6____1.22

31. Investigate Hold rod at 1/8 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at _____________. An antinode at _________.

32. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. ANANANANAANANANANA Rod

33. ANANANANAANANANANA The rod is ___ wavelength long. L = 4/2 = 2/4 L = 0.91 m

34. TrialLocationf (Hertz)(m) 11/2____3.66 21/4____1.83 31/6____1.22 41/8____0.91

35. Investigate Hold rod at 1/10 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at _____________. An antinode at _________.

36. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. ANANANANANAANANANANANA Rod

37. ANANANANANAANANANANANA The rod is ___ wavelength long. L = 5/2 = 2/5 L = 0.73 m

38. TrialLocationf (Hertz)(m) 11/2____3.66 21/4____1.83 31/6____1.22 41/8____ 0.91 51/10____0.73

39. Investigate Hold rod at 1/12 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at the center. An antinode at either end.

40. Describe Pattern Place a ‘N’ for node location. Place an ‘A’ for antinode location. ANANANANANANAANANANANANANA Rod

41. ANANANANANANAANANANANANANA The rod is ___ wavelength long. L = 6/2 = 2/6 L = 0.61

42. TrialLocationf (Hertz)(m) 11/2____3.66 21/4____1.83 31/6____ 1.22 41/8____ 0.91 51/10____ 0.73 61/12____0.61

43. ANANANANANANAANANANANANANA ANANANANANAANANANANANA ANAANA ANANAANANA ANANANAANANANA ANANANANAANANANANA

44. TrialLocationf v (Hertz)(m)(m/s) 11/2____3.66____ 21/4____1.83____ 31/6____ 1.22____ 41/8____ 0.91____ 51/10____ 0.73____ 61/12____0.61____

45. Conclusion The velocity of all frequencies is the same. What if this were not the case?

46. Summary When we examined the rod to determine the location of nodes and antinodes, we found:

47. ANAANA The rod is ___ wavelength long. L = 1/2 = 2 L = 3.66 m 1/2

48. ANANAANANA The rod is ___ wavelength long. L = = L = 1.83 m 1/4

49. ANANANAANANANA The rod is ___ wavelength long. L = 3/2 = 2/3 L = 1.22 m 1/6

50. ANANANANAANANANANA The rod is ___ wavelength long. L = 4/2 = 2/4 L = 0.91 m 1/8

51. ANANANANANAANANANANANA The rod is ___ wavelength long. L = 5/2 = 2/5 L = 0.73 m 1/10

52. ANANANANANANAANANANANANANA The rod is ___ wavelength long. L = 6/2 = 2/6 L = 0.61 1/12

53. ANANANANANANAANANANANANANA ANANANANANAANANANANANA ANAANA ANANAANANA ANANANAANANANA ANANANANAANANANANA 1/2 1/4 1/6 1/8 1/10 1/12