Does Scale Affect the Angular Velocity of Ferris Wheels?

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SUMMARY

The discussion centers on the angular velocity of a Ferris wheel and its scale model. Both the full-sized Ferris wheel with a radius of 8 meters and the 10:1 scale model rotate once every 15 seconds, resulting in identical angular velocities. The formula for angular velocity, defined as the change in rotation over change in time, confirms that both models experience the same angular velocity despite the difference in size. Therefore, the scale does not affect the angular velocity in this scenario.

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A Ferris wheel has a radius of 8 meters and rotates once every 15 seconds.

A 10:1 scale model of the Ferris wheel also rotates once every 15 seconds.

Which has the higher Angular Velocity?

Solution: angular velocity = Change in rotation/change in time

Do I use the formula v = rw
I don’t understand where to start this problem.
 
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Make a drawing of the big ferris wheel and on the same paper draw the smaller one. Make one rotation of the paper in 15 seconds. The big ferris wheel rotated through 360 degrees. What about the smaller one?
Do their angular velocities differ?
 
They are the same.
 

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