Calculate the angular velocity of a 0.300 m radius car tire when the car travels at 15.0 m/s.

1. Because the tire rolls without slipping, the tire rim's linear speed equals the car's speed, so v = 15.0 m/s. 2. Angular velocity is omega = v / r. 3. Substituting the known values, omega = 15.0 m/s / 0.300 m. 4. That division gives omega = 50.0 rad/s. 5. 12.5 rad/s is the value for a much larger 1.20 m tire at the same speed, and 45.0 rad/s and 5.00 rad/s come from arithmetic slips in the division. _Source: OpenStax College Physics (CC BY 4.0), Ch 6 "Uniform Circular Motion and Gravitation", section 6.1 Rotation Angle and Angular Velocity_