Question

each roller under a conveyor belt has a radius of 0.5 meters. the rollers turn at a rate of 30 revolutions per minute. what is the linear velocity of the conveyor belt

Answer 1

this is physics =]

\[30 revs*\frac{2pi}{1rev}*\frac{1min}{60s}=\frac{60\pi rads }{s}\]

this is your angular velocity

Answer 2

ooops it should be

\[\frac{60\pi rads}{60s}=\pi rad/s\]

Answer 3

so just 3.14 rad/s

Answer 4

now what relationship is htere to go from angular velocity to

Answer 5

linear velocity

Answer 6

so what would the answer be and the units are m/s

Answer 7

yes the relationship between linear and angular is

\[r\omega=v\]

you know the angular velocity and the radius

Answer 8

Im confussed of what the final answer is

Answer 9

If the radius is .5 then one revolution is pi since the circumference is pi times diameter. In 30 revolutions, it goes 30 pi or 3.14 times 30 or 94.2 meters per minute.