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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 ωa\omega_a, which statement correctly describes the angular velocity ωb\omega_b of gear B?

A

ωb=3ωa\omega_b = 3\omega_a and gear B rotates counterclockwise

B

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

C

ωb=ωa/3\omega_b = \omega_a/3 and gear B rotates clockwise

D

ωb=3ωa\omega_b = -3\omega_a and gear B rotates clockwise

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