Generate a Sine Wave Graph from a Circle - Trigonometry Help - Game Tips:
- When you ride a ferris wheel, your vertical positions compared to the centre of the wheel
form a sine wave pattern based on the rotation angle of the ferris wheel.
- The equation y = A sin(T) represents a set of ordered pairs of the form (T,y)
with y representing vertical height and T representing the angle of rotation.
- When graphed on a horizontal T-axis and vertical y-axis, the curve represented by y = A sin(T)
is a sine wave having vertical amplitude = |A| and horizontal wavelength = 2(Pi).
- In the ferris wheel example, A is the maximum vertical distance above the centre of the wheel.
The amplitude of the wave is based on the radius of the ferris wheel. In this game r=1 unit.
- Wavelength refers to how long it takes for a pattern to repeat itself. Eg. a crest + a trough .
The wavelength of the wave is based on one complete wheel rotation = 360 degrees.
- A rotation of 360 degrees is also described in Math as an angle of 2(Pi) radians.
This means that one wavelength of y = A sin(T) is approximately 2(3.14159) = 6.3 units long.
[Radian measure can be based on a circle's Circumference = 2(Pi)r, where Pi=3.14159 approx.]
- The basic sine wave y= sin(T) has amplitude 1 unit and an approximate wavelength of 6.3 units.
- See the wheel spin & get your Score Report after you have made 6 choices.
- Your Game Score is reduced by the number of star hits.
- To slow the game speed repeat tap/click on the word Slider.
- To increase the game speed repeat tap/click on the word Math.
- Speed can also be adjusted with a keyboard's - and + keys.
- Refresh/Reload the web page to restart the game.
- Adjust the sound level of media on your device.
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