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SAT® Math

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Gears in a Chain Drive

SATMAT-I2JT4L

Created for Albert.io. Copyright 2016. All rights reserved.

A chain drive involves a large gear with a radius of $ 12 $ cm and a smaller gear with a radius of $ 3.7 $cm, as shown above. The smaller gear is at the center of a wheel with a diameter of $ 78 $ cm.

If the larger gear rotates through an angle of $ { 270 }^{ \circ } $, then how far does the wheel move? (Calculator)

A

About $ 0.5 \text{ m}$.

B

About $ 2 \text{ m}$.

C

About $ 6 \text{ m}$.

D

About $ 12 \text{ m}$.