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Source: Manhattan Prep
Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 32cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimeters per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
A. \(1280 \pi\)
B. \(75r\)
C. \(48r\)
D. \(24r\)
E. \(64\pi/3\)
The OA is B
Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 32cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimeters per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?
A. \(1280 \pi\)
B. \(75r\)
C. \(48r\)
D. \(24r\)
E. \(64\pi/3\)
The OA is B
