Answer: Watching a Ferris wheel An observer stands 20 m

Chapter 3, Problem 52

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Watching a Ferris wheel An observer stands 20 m from the bottom of a 10-m-tall Ferris wheel on a line that is perpendicular to the face of the Ferris wheel. The wheel revolves at a rate of p rad/min, and the observers line of sight with a specific seat on the wheel makes an angle u with the ground (see figure). Forty seconds after that seat leaves the lowest point on the wheel, what is the rate of change of u? Assume the observers eyes are level with the bottom of the wheel. 10 m 20 m rad/min y x

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