Question

If you are riding on a Ferris wheel that is 60 feet tall and it takes you 5 minutes to make one revolution, what is your linear velocity?

Answer 1

.62 feet per second.....

Answer 2

Linear velocity = 0.63 feet per second

Explanation:

There is a relation between angular velocity and linear velocity of a point on the circumference of a moving wheel.

The relation is linear velocity = r × Angular velocity

Since Ferris wheel is 60 feet tall and takes 5 minutes to make one revolution.

It means Ferris wheel has the radius = 30 feet

and angular velocity of the point on the circumference =
`(2\pi )/(5)` feet per minute =
`(2\pi )/(5(60))=(\pi )/(150)` feet per second

Now we put these values in the formula

Linear velocity = 30 ×
`(\pi )/(150)`

=
`(\pi )/(5)`

=
`(3.14)/(5)=0.628` feet per second

Therefore, my linear velocity will be 0.62 feet per second.