Conveyor Rollers

Q: The rollers turn at a rate of 40 revolutions per minute. What is the linear velocity of the conveyor belt.

3769.9 ft/sec
104.7 ft/sec
5.2 ft/sec

A: First find the circumference of each roller. The formula is:
C=2(pi)(radius)

So, C=2(3.141592653)(15)

C=...

Q: There are 20 rollers uner a conveyor belt each roller has a radius of 15 inches. The rollers turn at a rate of 40 revolutions per minute.

A: v = 15 x 2 x pi x 40 inches per minute

= 3770 in/min

= 5.237 ft/s

the number of rollers is irrelevant.

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