Angular Velocity of Meshed Gears
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
$$\omega_b = -3\omega_a$$ and gear B rotates clockwise
B
$$\omega_b = \omega_a/3$$ 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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