Roller Conveyor
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 velocity of the conveyor belt.
3769.9 ft/sec
104.7 ft/sec
5.2 ft/sec
62.8 ft/sec
First find the circumference of each roller. The formula is:
C=2(pi)(radius)
So, C=2(3.141592653)(15)
C= 94.24778 inches
since there are 12 inches in one foot there are 7.85 feet.
At 40 revolutions per minute the roller pushes the belt a distance of (7.85*40)=314.16 feet per minute.
There are 60 seconds in a minute so the conveyor belt travels:
314.16/60= 5.24ft/sec
Answer: 5.2 ft/sec
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