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The Squeaky Aluminum Rod. Created for CVCA Physics by Dick Heckathorn 25 April 2K +5. Apparatus. 1.829 meter 3/8 Aluminum Rod Rosin Apple ][e Computer Frequency Meter Program Tape Recorder + Cable. Investigate. Holding Rod at Center Create a Frequency What is the frequency?
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The Squeaky Aluminum Rod Created for CVCA Physics by Dick Heckathorn 25 April 2K +5
Apparatus 1.829 meter 3/8 Aluminum Rod Rosin Apple ][e Computer Frequency Meter Program Tape Recorder + Cable
Investigate Holding Rod at Center Create a Frequency What is the frequency? Record the frequency and where held.
Investigate Hold Rod 1/4 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.
Trial Location Frequency (Hertz)1 1/2 _______ 2 1/4 _______
Investigate Hold Rod 1/6 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.
Trial Location Frequency (Hertz)1 1/2 _______ 2 1/4 _______ 3 1/6 _______
Investigate Hold Rod 1/8 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.
Trial Location Frequency (Hertz)1 1/2 _______ 2 1/4 _______ 3 1/6 _______ 4 1/8 _______
Investigate Hold Rod 1/10 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.
Trial Location Frequency (Hertz)1 1/2 _______ 2 1/4 _______ 3 1/6 _______ 4 1/8 _______ 5 1/10 _______
Investigate Hold Rod 1/12 From One End What do you think ‘f’ will be? Create the Frequency Record the frequency and where held.
Trial Location Frequency (Hertz)1 1/2 _______ 2 1/4 _______ 3 1/6 _______ 4 1/8 _______ 5 1/10 _______ 6 1/12 _______
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.
Trial Location Frequency (Hertz) 1 1/2 ____ 2 1/4 ____ 3 1/6 ____ 4 1/8 ____ 5 1/10 ____ 6 1/12 ____
Question? What is the wavelength of the fundamental frequency? The fundamental frequency is ______
Question? Is there a wave pattern? What pattern might we look for? What about node and antinode regions?
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.
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A
A N A The rod is ___ wavelength long. L = 1/2 = 2 L = 3.66 m
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66
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...
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A N A
A N A N A The rod is ___ wavelength long. L = = L = 1.83 m
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66 2 1/4 ____ 1.83
Investigate Hold rod at 1/6 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at ____________. An antinode at ________.
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A N A N A
A N A N A N A The rod is ___ wavelength long. L = 3/2 = 2/3 L = 1.22 m
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66 2 1/4 ____ 1.83 3 1/6 ____ 1.22
Investigate Hold rod at 1/8 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at _____________. An antinode at _________.
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A N A N A N A
A N A N A N A N A The rod is ___ wavelength long. L = 4/2 = 2/4 L = 0.91 m
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66 2 1/4 ____ 1.83 3 1/6 ____ 1.22 4 1/8 ____ 0.91
Investigate Hold rod at 1/10 - Create ‘f’ Grab hold of rod at various locations. What was found? A node at _____________. An antinode at _________.
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A N A N A N A N A
A N A N A N A N A N A The rod is ___ wavelength long. L = 5/2 = 2/5 L = 0.73 m
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66 2 1/4 ____ 1.83 3 1/6 ____ 1.22 4 1/8 ____ 0.91 5 1/10 ____ 0.73
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.
Describe Pattern Rod Place a ‘N’ for node location. Place an ‘A’ for antinode location. A N A N A N A N A N A N A
A N A N A N A N A N A N A The rod is ___ wavelength long. L = 6/2 = 2/6 L = 0.61
Trial Location f (Hertz) (m) 1 1/2 ____ 3.66 2 1/4 ____ 1.83 3 1/6 ____ 1.22 4 1/8 ____ 0.91 5 1/10 ____ 0.73 6 1/12 ____ 0.61
A N A A N A N A A N A N A N A A N A N A N A N A A N A N A N A N A N A A N A N A N A N A N A N A
Trial Location f v (Hertz) (m) (m/s) 1 1/2 ____ 3.66 ____ 2 1/4 ____ 1.83 ____ 3 1/6 ____ 1.22 ____ 4 1/8 ____ 0.91 ____ 5 1/10 ____ 0.73 ____ 6 1/12 ____ 0.61 ____
Conclusion The velocity of all frequencies is the same. What if this were not the case?
Summary When we examined the rod to determine the location of nodes and antinodes, we found:
1/2 A N A The rod is ___ wavelength long. L = 1/2 = 2 L = 3.66 m
1/4 A N A N A The rod is ___ wavelength long. L = = L = 1.83 m
1/6 A N A N A N A The rod is ___ wavelength long. L = 3/2 = 2/3 L = 1.22 m
1/8 A N A N A N A N A The rod is ___ wavelength long. L = 4/2 = 2/4 L = 0.91 m