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-

Question

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

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Helga 4 years 2021-07-26T23:40:03+00:00 1 Answers 220 views 0

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  1. Eirian
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    2021-07-26T23:41:26+00:00
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    Answer:

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

    Explanation:

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

    a=r\omega^2

    Two children are riding on a merry-go-round that is rotating with a constant angular speed. Let r_1 is distance of Abbie from the merry-go-round and r_2 is distance of Zak’s from the merry-go-round. Acceleration of Abbie is :

    a_1=r_1\omega^2 …… (1)

    r_1=1\ m

    Acceleration of Zak’s is :

    a_2=r_2\omega^2 …….(2)

    r_2=2\ m

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

    \dfrac{a_1}{a_2}=\dfrac{r_1}{r_2}\\\\\dfrac{a_1}{a_2}=\dfrac{1}{2}\\\\a_1=\dfrac{a_2}{2}

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

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