The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
The speed of an object is the ratio of the total distance covered by the object and total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
= 2Ï€r
= 2 × π × 30 feet
= 60Ï€ feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
= 7 × circumference of the wheel
= 7 × 60π feet
= 420Ï€ feet
Now, the Ferris wheel took 14 minutes to complete 420Ï€ feet.
Therefore, the speed of the wheel is
= (420Ï€/14) feet/minute
= 30Ï€ feet/minute
= (30π × 12)/60 inches/second
= 6Ï€ inches/second
= 18.9 inches/second
Learn more about the speed of an object here: https://brainly.com/question/16123156
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