The London Eye,which is a giant Ferris wheel,has a diameter of 135 m.It revolves at a constant rate and takes 30 minutes to complete one revolution.What is the linear velocity of a rider in a capsule that is located at the perimeter of the wheel?

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Quizplus · Accepted Answer

The linear velocity $v$ of a rider can be calculated using the formula $v = \frac{2\pi r}{T}$, where $r$ is the radius of the wheel and $T$ is the period of one revolution. Given the diameter is 135 m, the radius $r = \frac{135}{2} = 67.5$ m. The period $T = 30$ minutes or $1800$ seconds. Thus, $v = \frac{2\pi(67.5)}{1800} \approx 0.236$ m/s, which rounds to $0.24$ m/s.

The London Eye,which Is a Giant Ferris Wheel,has a Diameter