Question

A truck with 0.410 m radius tires travels at 25.0 m/s. What is the angular velocity of the rotating tires in radians per second?

Answer 1

relation between linear velocity and angular velocity is given as

`v = R\omega`

here

v = linear speed

R = radius

`\omega` = angular speed

now plug in all data in the equation

`25.0 = 0.410 \omega`

`\omega  = (25)/(0.410)`

`\omega = 60.9 rad/s`

so rotating speed is 60.9 rad/s