Analytical Ability P2

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Wheel A, with a diameter of x, rolls around fixed wheel B, which has a diameter of 2x. The problem asks how many revolutions wheel A makes about its own axis while rolling once around wheel B. Given perfect friction, the interaction between the two wheels leads to a specific mathematical relationship regarding their diameters and revolutions. Participants in the discussion are encouraged to engage with the puzzle to enhance the forum's interactivity. The exploration of this problem highlights the principles of rotational motion and geometry in a fun and challenging way.
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Wheel A with diameter x rolling around a fixed wheel B with diameter 2x. How many revolutions about its own axis will wheel A makes in rolling once around wheel B?

There is slow & steady addition of Threads in MATHS Forum. So I thought of making it more interactive with some puzzler
 
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Asuming perfect friction, three.
 

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