Final answer:
The angular speed of a 0.300 m radius car tire when the car travels at 15.0 m/s is 3000 rad/min.
Step-by-step explanation:
The angular speed (or angular velocity) of a wheel can be found by dividing the linear speed of the car by the radius of the wheel. If a car travels at a linear speed of 15.0 m/s and the car's tire has a radius of 0.300 meters, the angular speed of the tire can be calculated as follows:
Angular velocity, ω = (linear speed)/(radius of the tire)
ω = (15.0 m/s) / (0.300 m) = 50.0 rad/s
Because we are asked for the angular speed in rad/min, we need to convert this from seconds to minutes. Since there are 60 seconds in a minute, the calculation is as follows:
Angular speed in rad/min = 50.0 rad/s × 60 s/min = 3000 rad/min.
Thus, the angular speed of the car tire when the car is traveling at 15.0 m/s is 3000 revolutions per minute (rad/min).