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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?

User Orsius
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2 Answers

3 votes
.62 feet per second.....
User SpokaneDude
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4 votes

Answer:

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.

User Alan Kinnaman
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