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# Standing waves (lo)

Introducing standing waves and its concept

Introducing standing waves and its concept

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### Standing waves (lo)

1. 1. Standing Waves Phys 101 Learning Objects Carly Chui
2. 2. What is a standing wave? special case of interference when 2 waves meeting are: of the same amplitude of the same frequency traveling in opposite directions
3. 3. To demonstrate how a standing wave is created, the following slides show a series of diagrams showing how it happens by considering 2 transverse waves traveling in opposite directions along a stretched rope
4. 4. red line = wave 1 moving to the right blue line = wave 2 moving to the left green line = total Here, the blue and red line are overlapped, so only the blue line can be seen
5. 5. red line = wave 1 moving to the right blue line = wave 2 moving to the left green line = total Wave 1 moves to the right, while wave 2 moves to the left, while the maximum displacement of the wave is smaller than the previous as the waves 1 and 2 are not overlapping
6. 6. red line = wave 1 moving to the right blue line = wave 2 moving to the left green line = total As wave 1 and 2 are exactly opposite each other, the total wave is flat (on the x-axis)
7. 7. red line = wave 1 moving to the right blue line = wave 2 moving to the left green line = total Wave 1 and 2 each move to the right and to the left, while the total wave is at its maximum or minimum when waves 1 and 2 intersect.
8. 8. red line = wave 1 moving to the right blue line = wave 2 moving to the left green line = total The waves are overlapped again, giving double the amplitude for the total wave compared to the wave 1 and wave 2.
9. 9. As a result of the above diagrams, the plot of the total wave (total displacement vs. distance) will be: nodes = point on the rope that are always at rest nodes anti-nodes antinodes = points where the maximum movements take place * The three colours (green, red, blue) now correspond to different times. The string oscillates up and down
10. 10. the resulting standing wave has its name: its wave pattern remains fixed in space only the displacement that changes over time
11. 11. To enhance the understanding towards standing waves, the following compares it with a normal travelling wave: all points on the wave have different amplitudes maximum amplitude at the antinodes, 0 at the nodes Amplitude Standing wave: Normal traveling wave all points on the wave have the same amplitude
12. 12. Frequency Standing wave: Normal traveling wave all points oscillate with the same frequency all points oscillate with the same frequency
13. 13. Wavelength Standing wave: Normal traveling wave twice the distance from one node/ antinode to the next node/ antinode) shortest distance (m) along the wave between 2 points that are in phase with one another
14. 14. Phase Standing wave: Normal traveling wave all points between one node and the next node are moving in phase all points along a wavelength have different phases
15. 15. Energy Standing wave: Normal traveling wave energy is not transmitted through wave BUT - has energy associated with it energy is transmitted by the wave