Does Scale Affect the Angular Velocity of Ferris Wheels?

AI Thread Summary
The discussion focuses on the angular velocity of a Ferris wheel and its scale model. Both the original Ferris wheel with an 8-meter radius and the 10:1 scale model complete one rotation every 15 seconds. The formula for angular velocity is applied, showing that it is determined by the change in rotation over time. Despite the difference in size, both Ferris wheels have the same angular velocity since they complete their rotations in the same time frame. Therefore, the angular velocities of the two Ferris wheels do not differ.
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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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