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Sine Wave | Simple Explanation on a Giant or Ferris Wheel | Trigonometry | Learnability

Sine

Sine Wave

Trigonometry

Cosine

Giant wheel

Ferris Wheel

Plot

Mathematics

Physics

Light

Electricity

Cos

Cosine Wave

Theta

Amplitude

Oscillations

Hong Kong Observation Wheel

Hong Kong Observation

London eye

London

Sine Waves

Sine wave explained

tangent

Tan

Circle

wheel

Oscillation

axis

time axis

position

Ferris

What is a sine wave?

Simple explanation

Sine Wave Simple

Sine Wave Simple Explanation

Sine Simple Explanation

Sine Explanation

Khan academy

Автор: Learnability

Загружено: 18 сент. 2020 г.

Просмотров: 201 930 просмотров

Описание:

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)

Appreciate your time and thank you for watching my videos! It would be great if you would hit the thumbs up button, subscribe, and share the video with somebody who might be interested in this topic.

More videos to follow!

Sine Wave | Simple Explanation on a Giant or Ferris Wheel | Trigonometry | Learnability

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