Angular Velocity of Meshed Gears

Question

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?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	dxie26808	2	2	0m 00s	200
#2	basel.coder	1	1	0m 56s	44
#3	kby080731	0	1	0m 50s	-60
#4	songqiuhui2012	0	1	1m 04s	-74
#5	jfraleigh544	0	1	1m 06s	-76
#6	kurniadisheryn	1	3	8m 52s	-452

Angular Velocity of Meshed Gears

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