Question

there are 20 rollers under a conveyor belt, and each roller has a radius of 15 inches. The rollers turn at a rate of 40 revolutions per minute. what is the linear speed of the conveyor belt

Answer 1

about 314 feet per minute

Explanation:

You want the linear speed of a conveyor belt driven by rollers of radius 15 inches turning at 40 RPM.

Circumference

The circumference of one roller is ...

C = 2πr

C = 2π(15 in) = 30π in

Rate

This distance is traveled 40 times in a minute, so the linear speed is ...

(30π in)(40/min) = 1200π in/min = 100π ft/min ≈ 314 ft/min

The linear speed of the belt is about 314 feet per minute.

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Additional comment

That's about 3.57 miles per hour, a brisk walking rate.

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