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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.

Sagot :

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

What is the speed of an object?

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

= 2πr

= 2 × π × 30 feet

= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

= 7 × circumference of the wheel

= 7 × 60π feet

= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

= (420π/14) feet/minute

= 30π feet/minute

= (30π × 12)/60 inches/second

= 6π inches/second

= 18.9 inches/second

Learn more about the speed of an object here: https://brainly.com/question/16123156

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