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Angular Velocity of Meshed Gears
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Two meshed gears, A and B, have radii of 3r and r, respectively. If gear A rotates counterclockwise with angular velocity $$\omega_a$$, which statement correctly describes the angular velocity $$\omega_b$$ of gear B?

A

$$\omega_b = \omega_a/3$$ and gear B rotates clockwise

B

$$\omega_b = -3\omega_a$$ and gear B rotates clockwise

C

$$\omega_b = 3\omega_a$$ and gear B rotates counterclockwise

D

$$\omega_b = -\omega_a/3$$ and gear B rotates clockwise

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