SOLUTION: Two Ferris wheels are side-by-side are rotating at the Math Fair. The first Ferris wheel has a radius of 7m and makes one complete revolution every 16 s. The bottom of the wheel

Question 1117955: Two Ferris wheels are side-by-side are rotating at the Math Fair. The first Ferris wheel has a radius of 7m and makes one complete revolution every 16 s. The bottom of the wheel is 1.5 m above ground. The second Ferris has a radius of 8m and completes one revolution every 20 s. The bottom of this wheel is 2 m above the ground. What are the equations of both Ferris wheels using sine as the base function
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two Ferris wheels are side-by-side are rotating at the Math Fair. The first Ferris wheel has a radius of 7m and makes one complete revolution every 16 s. The bottom of the wheel is 1.5 m above ground.
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Amplitude = 7
Period = 16
Minimum = 1.5
7sin(pi*t/8) has amp of 7 and period of 16 seconds.
Shift up 5.5 to make the low points 1.5 meters
--> 7sin(pi*t/8) + 5.5
Shift left 90 degs to have the low point at t = 0
7sin(pi*t/8 - pi/2) + 5.5
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The second Ferris has a radius of 8m and completes one revolution every 20 s. The bottom of this wheel is 2 m above the ground.
Same as #1, different numbers.

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