Final answer:
The angular acceleration is 5π rad/s².
Step-by-step explanation:
The angular acceleration can be found by using the formula α = Δω/Δt, where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the change in time. In this case, we are given that Δω is 250 rpm and Δt is 5.00 s. To convert rpm to rad/s, we can use the conversion factor 1 rpm = 2π/60 rad/s. Therefore, Δω = 250 rpm * (2π/60 rad/s) = 25π rad/s. Substituting these values into the formula α = Δω/Δt, we get α = (25π rad/s) / (5.00 s) = 5π rad/s².