A Ferris wheel completes 7 revolutions in 14 minutes. The radius of the Ferris wheel is 30 feet. What is the linear velocity of the Ferris wheel in inches per second?

Enter your answer, rounded to the nearest tenth, in the box.

Convert rev/min to radians per min:

(7 rev/14 min) * (2pi rad/1 rev) = pi radian/min

Convert rad/min to rad/sec. This is the angular velocity:

(pi rad/min)*(1min/60 sec) = pi/60 rad/sec

Linear velocity = angular velocity * radius

(pi/60 rad/sec) * 30ft = 0.5pi ft/sec

Convert ft/sec to in/sec:

(0.5pi ft/sec) * 12 in/1 ft = 6pi in/sec

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