Urgent! There is a ferris wheel of radius 30 feet. When the compartments are at their lowest, it is 2 feet off the ground. The ferris wheel makes a full revolution in 20 seconds. Using a cosine function, write an equation modelling the height of time?
Help!
Radius - 30 feet
Lowest point - 2 feet
Time for 1 revolution - 20 seconds
Write cosine function!
Help!
Radius - 30 feet
Lowest point - 2 feet
Time for 1 revolution - 20 seconds
Write cosine function!
1 Answer
Explanation:
An equation in cosine is generally of the form
•
•
•
•
In this case, we can instantly deduce that the period is
The amplitude will be given by the formula
The amplitude is therefore
The vertical transformation is given by
Finally, due to the nature of the cosine function, the cosine function always starts at a maximum (except when parameter
Therefore, the equation is
Hopefully this helps!