posted by anna .
The rim of the London Eye (a 135m diameter ferris wheel) moves 26 cm/sec, slow enough for passengers to safely get on the wheel from the platform (2 meters above ground level) without stopping the wheel at the bottom of its rotation.
What's the height at the bottom of the wheel? The top? How high above the ground is the center of the wheel?
How far does a passenger travel as the wheel makes one complete revolution? How much times does that take?
The height at the bottom of the wheel is 2 m; The height at the top is 2 + diameter = 137; The height at the center of the wheel is 2 + radius = 2 + 135/2
The circumference of the London Eye is 2*PI*r = PI*diameter = 135*PI. This is how far a passenger travels as the wheel makes one complete revolution. This takes (135*PI m)/(0.26 m/s)