# Two of the tires on a tractor-trailer have 1.5 m diameters. If the tractor-trailer travels at a linear velocity of 3.0 m/s, what is the angular velocity of each tire?

Oct 1, 2017

I got $2 \frac{\text{rad}}{s}$

#### Explanation:

I would use the relationship between linear velocity $v$, radius $r$ and angular velocity $\omega$:

$v = \omega r$

Rearranging:

$\omega = \frac{v}{r} = \frac{3}{1.5} = 2 \frac{\text{rad}}{s}$