Answer:
The linear velocity of the conveyor belt is v=0.25 m/s.
Explanation:
<em>In a circular motion, the tangential velocity can be written as</em>
<u>where r is the radius of the circle, and ω is the angular velocity</u>.
In this case, we were given some data: the radius r=0.5 meters, and the revolutions per minute of the rollers. The first thing we have to do is to calculate ω with the proper units, <em>which is rad/second</em>, using the given revolutions per minute, so
<em>because in 1 minute, there are 60 seconds, and in 1 revolution, there are 2π rad</em>.
Now, we can calculate the answer:
in which <u>we had to convert rad/s to Hz (or 1/s), knowing that 2πrad=1H</u>z.
Therefore, the answer is v=0.25 m/s.