Question

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

Answer 1

Answer:

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, $\omega=14\ rev/s$

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

Angular velocity, $\omega=87.96\ rad/s$    

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.

$v=r\times \omega$

$v=0.125\ m\times 87.96\ rad/s$

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.    

Answer 2

12.5 times 14 and convert to meters its 1.75 meters per second