Two children are riding on a merry-go-round that is rotating with a constant angular speed. Abbie is one meter from the center of the merry-go-round, whereas Zak is two meters from the center. Abbie’s acceleration is Zak’s acceleration. Two children are riding on a merry-go-round that is rotating with a constant angular speed. Abbie is one meter from the center of the merry-go-round, whereas Zak is two meters from the center. Abbie’s acceleration is Zak’s acceleration. a quarter of twice equal to half of four times

The acceleration of Abbie is half of the Zak's.

Explanation:

The centripetal acceleration of an object on a circular path is given by :

Two children are riding on a merry-go-round that is rotating with a constant angular speed. Let is distance of Abbie from the merry-go-round and is distance of Zak's from the merry-go-round. Acceleration of Abbie is :

...... (1)

Acceleration of Zak's is :

.......(2)

Dividing equation (1) and (2) we get :

So, the acceleration of Abbie is half of the Zak's.

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