Question

What is the velocity in inches per second of a roll that has a speed of 140 rpm and a diameter of 2.4 cm?

Answer 1

The velocity in the border of the roll is 0.025 m/s.

Explanation:

We have a roll that has an angular velocity of

`\omega = 140\, rpm`

The tangent velocity (of the edge of the roll) can be calculated as

`V=\omega * r=\omega * D/2\\\\V=(1/2)*140(1)/(min)*2.4\, cm*(1m)/(100cm)*(1min)/(60s)\\\\V=0.028\,m/s`

The velocity in the border of the roll is 0.025 m/s.