#### 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

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