Learn the fundamentals of a Sine Wave! It is extensively used in physics, engineering, mathematics, and countless other fields. A giant or Ferris wheel is used as an analogy to explain the concept. A sine wave can be just visualized as the vertical component of a simple circular motion. It's plotted as position vs time or angle as the giant wheel rotates.
High school and undergraduate physics, math, and other sciences may benefit from learning fundamentals of this very useful waveform
The Origin of the word "Sine" is also discussed.
The complement to the Sine wave is a Cosine wave which is also hinted upon at the end of the video (horizontal motion of the giant wheel). Finally, check your understanding of a Sine wave's amplitude and oscillations with a question at the end of the video.
Answer to the question at the end of the video:
A) Both giant wheels (red and blue) are rotating at the same speed. The difference is that 2 rotations are shown for the blue wheel if you look at the time axis carefully.
B) Both giant wheels are the same size. Look at the amplitude on the vertical motion. It's +200 and -200 feet, so both giant wheels are 400 ft in diameter. (which by the way, is very close to the height of the London Eye Giant Wheel. The Hong Kong Observation Wheel is half that diameter, around 200 feet, so an amplitude of 100 feet from start)
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30 сен 2024
