Final answer:
The angular velocity of the bicycle tire is 50.0 rad/s and the linear speed is 15.0 m/s.
Step-by-step explanation:
The angular velocity of an object can be calculated using the formula ω = v/r, where ω represents the angular velocity, v represents the linear velocity, and r represents the radius. In this case, the linear speed of the bicycle tire is given as 15.0 m/s and the radius is 0.300 m. Plugging these values into the formula, we get:
ω = 15.0 m/s / 0.300 m = 50.0 rad/s
The linear speed of the tire can be calculated using v = ωr. Using the angular velocity of 50.0 rad/s and the radius of 0.300 m, we get:
v = 50.0 rad/s * 0.300 m = 15.0 m/s
Therefore, the angular velocity of the bicycle tire is 50.0 rad/s and the linear speed is 15.0 m/s.