SOLUTION: The figure is a model of a Ferris wheel. The diameter of the wheel is d = 175 feet, and one complete revolution takes 12 minutes. Find the linear velocity of a person riding on

Algebra ->  Trigonometry-basics -> SOLUTION: The figure is a model of a Ferris wheel. The diameter of the wheel is d = 175 feet, and one complete revolution takes 12 minutes. Find the linear velocity of a person riding on      Log On


   



Question 1095411: The figure is a model of a Ferris wheel. The diameter of the wheel is
d = 175
feet, and one complete revolution takes 12 minutes. Find the linear velocity of a person riding on the wheel. Give your answer in miles per hour and round to the nearest hundredth. (1 mi = 5,280 ft)

Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
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The formula for linear velocity of a person riding on the wheel is


V = n%2Api%2Ad ft/hour,


where n is the number of revolution of the wheel per hour (= (60 min/12 min) = 5 revolutions per hour.)


Substitute the given values  to get

V = 5*3.14*175 ft/hour = 2747.5 ft/hour = 2747.5%2F5280 miles%2Fhour = 0.52 miles per hour.