Answer
The angular speed of the tires is $~~59.2~rad/s$
Work Step by Step
We can convert the speed of the car into units of $m/s$:
$v = (80.0~km/h)\times (\frac{1000~m}{1~km})\times (\frac{1~h}{3600~s}) = 22.2~m/s$
The tangential speed of the tire's circumference is equal to the speed of the car.
We can find the angular speed of the tires:
$\omega ~R = v$
$\omega = \frac{v}{R}$
$\omega = \frac{22.2~m/s}{0.375~m}$
$\omega = 59.2~rad/s$
The angular speed of the tires is $~~59.2~rad/s$
