Answer: the angular acceleration of the wheels is 24.90 rad/s^2.
Step-by-step explanation:
v = ωr
where v is the linear velocity, ω is the angular velocity, and r is the radius of the wheels.
the linear velocity of the car is 30.0 m/s. The radius of the wheels is 24.1 cm, which is 0.241 m. Therefore:
ω = v / r = 30.0 m/s / 0.241 m = 124.48 rad/s
ωf = ωi + αt
where ωf is the final angular velocity, ωi is the initial angular velocity (which is 0), α is the angular acceleration, and t is the time interval.
Putting in the values, we get:
124.48 rad/s = 0 + α (5.00 s)
α = 24.90 rad/s^2.