Aroller of radius 12.5 cm turns at 14 revolutions per second. what is the linear velocity of the roller in meters per second?

Linear velocity of the roller, v = 11 m/s

Explanation:

It is given that,

Radius of roller, r = 12.5 cm = 0.125 m

Angular velocity of the roller,

Firstly, we will convert revolution per second to radian per second i.e.

Angular velocity,    

We need to find the linear velocity of the roller. It can be calculated by taking the product of angular velocity and the radius of roller.

v = 10.995 m/s

or

v = 11 m/s

So, the linear velocity of the roller is 11 m/s. Hence, this is the required solution.    

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