A Ferris wheel completes 6 revolutions in 12 minutes. The radius of the Ferris wheel is 40 feet.
What is the linear velocity of the ferris wheel in inches per second?

25.13 inches per second

Step-by-step explanation:

The formula for linear velocity is:

Where is the radius, and is the period of oscilation.

The radius is:

but because we need the answer in inches per second we need to convert this to inches (1 feet = 12 inches):

and the Period is the time it takes to complete a revolucion:

it takes 2 minutes to complete 1 revolution. Again, since we need the result in inches per second we need to convert the Period to seconds (1 minute = 60 seconds)

substituting our values for the linear velocity:

the linear velocity is 25.13 inches per second

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: