What is the function of Ferris wheel?
As a Ferris wheel turns , the distance a rider is above the ground varies sinusoidally with time. The highest point on the wheel is 43 feed above the ground. The wheel makes a full circle every 8 seconds and has a diameter of 40 feet. Sketch a graph of your height as a rider as a function of time.
What is the equation of a Ferris wheel?
Therefore, the equation is h=−30cos(π10t)+32 , where h is the height in feet and t is the time in seconds.
How is a Ferris wheel a sinusoidal function?
Section 6.1 Sinusoidal Graphs This is an example of a periodic function, because the Ferris wheel repeats its revolution or one cycle every 30 minutes, and so we say it has a period of 30 minutes.
How long does it take the Ferris wheel to complete one full rotation?
One of the most common application questions for graphing trigonometric functions involves Ferris wheels, since the up and down motion of a rider follows the shape of a sine or cosine graph. 18 m above the ground. It makes one complete rotation every 60 s.
Is a Ferris wheel sin or cos?
Ferris Wheel (applications of trigonometric functions) One of the most common applications of trigonometric functions is, Ferris wheel, since the up and down motion of a rider follows the shape of sine or cosine graph.
Is Ferris wheel sin or cos?
One of the most common applications of trigonometric functions is, Ferris wheel, since the up and down motion of a rider follows the shape of sine or cosine graph.
Which is sin cos and tan?
Sohcahtoa
Soh… | Sine = Opposite / Hypotenuse |
---|---|
…cah… | Cosine = Adjacent / Hypotenuse |
…toa | Tangent = Opposite / Adjacent |
What is the minimum height on the Ferris wheel?
48″
Ride Name | Classification | Height Requirement |
---|---|---|
Ferris Wheel | family | 48″ minimum |
Firestorm | family | 48″ min or 44″ with an adult |
Fun Slide | family | 42″ minimum |
Mardi Gras | family | 42″ min unless accompanied by an adult |