Classical Mechanics

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Moderate

Uniform Circular Motion: Centripetal Acceleration's - Rigid Body

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On a merry-go-round, horse A is located a distance $r_A$ from the center, while horse B is located at a distance of $3\,r_A$ from the center. The merry-go-round is spinning with constant angular velocity, $\omega$ (radians per second).

What is the ratio of the centripetal acceleration of horse A to horse B?

$$\frac{a_A}{a_B}=?$$

Write your answer to 2 significant figures.