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# Ferris Wheel Comparison Project

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by

## Zoe Chen

on 8 April 2015

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#### Transcript of Ferris Wheel Comparison Project

Ferris Wheel Comparison
The Chicago World's Fair Ferris Wheel of 1893
f(x)=(amplitude) sine OR cosine (360/period)(x + phase shift) + vertical shift
General Equation for ANY cosine or sine function
y=(125)cos( (360/10)t)+139
Equation for the height of a rider at any given time (Worlds Fair)
Transformations
The Navy Pier Ferris Wheel of 1990
y= (70) cos( (360/6)t) + 139
Equation for the height of a rider at any given time (Navy Pier)

Function for the height of a rider at any given time:
y= 70 sin( (360/6)t)+80
Function for the height of the rider at any given time:
y=(125)sin( (360/10)t)+139
Amplitude:125
Period: 10
Maximum: 264
Minimum: 14
Angular Speed: 360/10 mins
36/min

Amplitude:70
Period: 6
Maximum: 150
Minimum: 10
Angular Speed: 360/6 mins
60/min

Distance from starting position: 1.25 min

New function:
y= 125 sin(36(t-1.25) )+139
Distance from starting position: 2.5 mins

New function:
y= 70 sin(60(t-2.5) )+80
By Mina Samei and Zoe Chen
Full transcript