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Exercise:
Find a possible explanation for the beat patterns displayed in the graphs below. abcliste abc First diagram center includegraphicswidthcm#image_path:frequency-sweep# center abc Second diagram center includegraphicswidthcm#image_path:triplsuperposition# center abcliste

Solution:
abcliste abc The beat period increases over time i.e. the beat frequency decreases. This means that the signal can be erpreted as the superposition of two oscillations whose frequencies get closer over time. vspacemm The graph shows the superposition an oscillation with constant angular frequency omaO and an oscillation with an angular frequency that linearly increases from ombiO to ombfO. abc The signal has different beat periods. A possible explanation is that it corresponds to the superposition of more than two oscillations. vspacemm The graph shows the superposition of three oscillations with angular frequencies faO fbO and fcO. The angular beat frequencies and beat periods are therefore dfabP TabP dfbcP TbcP and dfacP TacP. abcliste
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Exercise:
Find a possible explanation for the beat patterns displayed in the graphs below. abcliste abc First diagram center includegraphicswidthcm#image_path:frequency-sweep# center abc Second diagram center includegraphicswidthcm#image_path:triplsuperposition# center abcliste

Solution:
abcliste abc The beat period increases over time i.e. the beat frequency decreases. This means that the signal can be erpreted as the superposition of two oscillations whose frequencies get closer over time. vspacemm The graph shows the superposition an oscillation with constant angular frequency omaO and an oscillation with an angular frequency that linearly increases from ombiO to ombfO. abc The signal has different beat periods. A possible explanation is that it corresponds to the superposition of more than two oscillations. vspacemm The graph shows the superposition of three oscillations with angular frequencies faO fbO and fcO. The angular beat frequencies and beat periods are therefore dfabP TabP dfbcP TbcP and dfacP TacP. abcliste
Contained in these collections:

Attributes & Decorations
Branches
Harmonic Oscillations
Tags
superposition
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Descriptive / Quality
Creator by
Decoration