if the diameter is 191, then the radius is 191/2 = 95.5
That is the amplitude of the sin/cos curve
Add 11 to that since the wheel doesn't scrape the ground.
H = 95.5 sin(kt) + 106.5
Since H is at its minimum at t=0, it will look like
H = -95.5 cos(kt) + 106.5
since cos(x) is at its max when x=0.
Since the period is 15 minutes
H(t) = -95.5 cos(2πt/15) + 106.5
Now just plug in values for t to fill in the table. For example, when
t = 3.75 = 15/4,
H = -95.5 cos pi/2 + 106.5 = 106.5
The figure below is a model of a Ferris wheel. The diameter of the wheel is 191 feet, and one complete revolution takes 15 minutes. The bottom of the wheel is 11 feet above the ground. Complete the table below. (Round your answers to two decimal places.)
t H
0 min 11 ft
1.875 min HOW DO I FIND?
3.75 min 106.5 ft (the baseline, 202-95.5)
5.625 min HOW DO I FIND?
7.5 min 11 + 191 = 202 ft
9.375 min HOW DO I FIND?
11.25 min 106.5 ft
13.125 min HOW DO I FIND?
15 min 11 ft
1 answer
1 answer