Question

Riders on a Ferris wheel travel in a circle in a vertical plane. A particular wheel has radius 20 feet and revolves at the constant rate of one revolution per minute. How many seconds does it take a rider to travel from the bottom of the wheel to a point 10 vertical feet above the bottom

Answer 1

It will take a rider 10 seconds to travel from the bottom of the wheel to a point 10 vertical feet above the bottom.

The radius of the wheel is 20 feet it revolves at the constant rate of one revolution per minute

using cos function,

cos ∅ = $\frac{\frac{R}{2} }{R}$

= $\frac{10}{20}$

= $\frac{1}{2}$

∅ $=60^{0}$

we know that, 1 minute = 60 seconds = $360^{0}$

1 second= $6^{0}$

∴Time =$\frac{60}{6}$=10 seconds

Hence, it will take a rider 10 seconds to travel from the bottom of the wheel to a point 10 vertical feet above the bottom.

Learn more about circle and radius  here brainly.com/question/6504879

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